Professor

Dr. Vijaysekhar Chellaboina

Department of Mechanical Engineering

Interests

  1. Stability and Control Theory
  2. Control Applications
  3. Financial Engineerings

Education

1991

Indian Institute of Technology-Madras
India
Bachelors

1993

Florida Institute of Technology
USA
Masters

1996

Georgia Institute of Technology
USA
Ph.D.

Experience

  • 2018-Present, Professor | SRM University-AP, Amaravati, India
  • 2018-Present, Head of Faculty Development | SRM University-AP, Amaravati, India
  • 2018-Present, Associate Dean of SEAS | SRM University-AP, Amaravati, India
  • 2014–2018, Professor | Mahindra Ecole Centrale, Hyderabad India
  • 2017-2018, Dean of Academics | Mahindra Ecole Centrale, Hyderabad India
  • 2008-2014, Principal Scientist | TCS Research, Hyderabad, India
  • 2008-2014,  Head of Risk & Finace | TCS Research, Hyderabad, India
  • 2004-2008, Associate Professor | University of Tennessee, Knoxville, USA
  • 1999-2004, Assistant Professor | University of Missouri, Columbia, USA

Research Interest

  • Stability and control theory for dynamical systems including continuous, discrete, and hybrid systems; Robust stability and control; Dissipativity theory and nonlinear stability for uncertain systems; Time-delay systems; Interconnected systems;
  • Applications of systems theory to biomedical and mechanical systems; Adaptive control for anesthesia and respiratory systems; control of flight;
  • Stochastic optimization for financial engineering with focus on risk minimization by hedging

Awards & Fellowships

  • 2002– Faculty Early Career Award (CAREER) – National Science Foundation, USA
  • 2012– Distinguised Scientist– TCS Research, India

Memberships

  • Senior Member, IEEE

Publications

Books and Monographs

  • W. M. Haddad, V. Chellaboina, and Q. Hui. Nonnegative and Compartmental Dynamical Systems. Princeton University Press, Princeton, NJ, 2010.
  • W. M. Haddad and V. Chellaboina. Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach. Princeton University Press, Princeton, NJ, 2008.
  • W. M. Haddad, V. Chellaboina, and S. G. Nersesov. Impulsive and Hybrid Dynamical Systems: Sta-bility, Dissipativity, and Control. Princeton University Press, Princeton, NJ, 2006.
  • W. M. Haddad, V. Chellaboina, and S. G. Nersesov. Thermodynamics: A Dynamical Systems Approach. Princeton University Press, Princeton, NJ, 2005.
  • A. Leonessa, W. M. Haddad, and V. Chellaboina. Hierarchical Nonlinear Switching Control Design with Applications to Propulsion Systems. Springer, New York, NY, 2000.

Presentations

  • Machine learnng methods in control applications. Dr Kalam Nuclear Missile Complex (RCI), July 2016. Hyderabad, India.
  • Dissipativity theory for time-delay systems. 4th DelSys Workshop, November 2015. Central Supelec, Paris, France.
  • Stochastic control for finance. Decision and Control Laboratory, Georgia Institute of Technology, February 2013. Atlanta, GA, USA.
  • A tutorial on finance. Villanova University, February 2013. Villanova, PA, USA.
  • Pricing and hedging of discretely monitored path-dependent claims. 7th World Congress of the Bachelier Finance Society, June 2012. Sydney, Australia.
  • Risk mitigation methods. Emergent Business Models and Strategies: New Directions in Knowledge Management, March 2012. Vijayawada, India.
  • Minimum variance hedging of portfolios and connections to Delta-Gamma-neutral hedging. Interna-tional Conference on Business and Finance, January 2012. IBS, Hyderabad.
  • Risk measures and their computation, October 2011. IBS, Hyderabad.
  • Risk, pricing, and hedging. Workshop on Optimal Portfolio Management, July 2011. TCS, Thane.
  • Discrete-time, minimum-variance hedging of European contingent claims. 6th World Congress of the Bachelier Finance Society, June 2010. Toronto, Canada.

Conference Papers

  • E. Subramanian, V. Chellaboina, and A. Jain. Explicit solutions of discrete-time hedging strategies for multi-asset options. In 2016 International Conference on Industrial Engineering, Management Science and Application, Jeju Island, Korea, 2016.
  • E. Subramanian, V. Chellaboina, and A. Jain. Performance evaluation of discrete-time hedging strate-gies for european contingent claims. In 2016 International Conference on Industrial Engineering, Management Science and Application, Jeju Island, Korea, 2016.
  • E. Subramanian and V. Chellaboina. Explicit solutions of discrete-time quadratic optimal hedging strategies for european contingent claims. In 2014 IEEE Conference on Computational Intelligence for Financial Engineering & Economics, London, UK, 2014.
  • V. Chellaboina, E. Subramanian, and S. P Bhat. Explicit formulas for optimal hedging stratergies for european contingent claims. In 2013 IEEE Conference on Computational Intelligence for Financial Engineering & Economics, Singapore, 2013.
  • A. Bhatia, V. Chellaboina, and S. P. Bhat. A Monte Carlo approach to currency risk minimization. In International Simulation Conference of India, IIT Bombay, 2012.
  • A. Bhatia, V. Chellaboina, and S. P. Bhat. An optimization approach to currency risk hedging. In International Conference on Business and Finance, IBS, Hyderabad, 2012.
  • V. Chellaboina, A. Bhatia, and S. P. Bhat. Minimum variance hedging of portfolios and connec-tions to Delta-Gamma-neutral hedging. In International Conference on Business and Finance, IBS, Hyderabad, 2012.
  • V. Chellaboina, D. Shikha, and S. P. Bhat. Pricing and hedging of discretely monitored path-dependent claims. In 7th World Congress of the Bachelier Finance Society, Sydney, Australia, 2012.
  • S.P. Bhat, V. Chellaboina, and A. Bhatia. Discrete-time, minimum-variance hedging of European contingent claims. In 6th World Congress of the Bachelier Finance Society, Toronto, Canada, 2010.
  • W.M. Haddad, S.G. Nersesov, and V. Chellaboina. Heat flow, work energy, chemical reactions, and thermodynamics: A dynamical systems perspective. In American Control Conference (ACC), 2010, pages 1196–1203, Baltimore, MD, 2010.
  • D. Shikha, S.P. Bhat, and V. Chellaboina. Optimal hedging of discretely monitored path-dependent derivatives. In 1st Academic Summit on Valuation and Financial Modeling, SCMHRD, Pune, 2010.
  • E. Subramanian, V. Chellaboina, A. Bhatia, and S.P. Bhat. Discrete-time hedging for european contingent claims via risk minimization in market measure. In 1st Academic Summit on Valuation and Financial Modeling, SCMHRD, Pune, 2010.
  • S. Bhat, V. Chellaboina, A. Bhatia, S. Prasad, and M.U. Kumar. Discrete-time, minimum-variance hedging of european contingent claims. In IEEE Conference on Decision and Control, pages 5544– 5549, Shanghai, 2009.
  • M.U. Kumar, V. Chellaboina, S. Bhat, S. Prasad, and A. Bhatia. Discrete-time optimal hedging for multi-asset path-dependent european contingent claims. In IEEE Conference on Decision and Control, pages 3679–3684, Shanghai, 2009.
  • V. Chellaboina, H. Li, W. M. Haddad, and J. M. Bailey. Direct adaptive control for a multi-compartment model of a pressure-limited respirator and lung mechanics systems. In Proc. IEEE Conf. Dec. Contr., pages 2668–2673, Cancun, Mexico, 2008.
  • V. Chellaboina, W. M. Haddad, J. M. Bailey, and H. Li. Limit Cycle Stability Analysis of a Multi-Compartment Model for a Pressure-Limited Respirator and Lung Mechanics System. In American Control Conference, 2007. ACC’07, pages 2024–2029, 2007.
  • V. Chellaboina, A. Kamath, and W. M. Haddad. Frequency Domain Sufficient Conditions for Stability Analysis of Linear Neutral Time-Delay Systems. In 44th IEEE Conference on Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC’05, pages 4330–4335, 2005.
  • V. Chellaboina and M. K. Ranga. Reduced order optimal control using genetic algorithms. In American Control Conference, 2005. Proceedings of the 2005, pages 1407–1412, 2005.
  • V. Chellaboina, W. M. Haddad, J. M. Bailey, and J. Ramakrishnan. On the absence of oscillations in compartmental dynamical systems. In Decision and Control, 2002, Proceedings of the 41st IEEE Conference on, volume 2, 2002.
  • V. S. Chellaboina and W. M. Haddad. Teaching time-varying stability theory using autonomous partial stability theory. In Decision and Control, 2001. Proceedings of the 40th IEEE Conference on, volume 4, 2001.
  • E. G. Collins Jr., W. M. Haddad, V. Chellaboina, and T. Song. Robustness analysis in the delta-domain using fixed-structure multipliers. In Decision and Control, 1997., Proceedings of the 36th IEEE Conference on, volume 4, 1997.

Journal Articles

  • V. Chellaboina. Dynamic dissipativity theory for stability of time-delay systems. In Advances on Delays and Dynamics. Springer, 2017, accepted.
  • Anil Bhatia, Sanjay Bhat, and Vijaysekhar Chellaboina. Optimal static hedging of currency risk using fx forwards. Global Journal of Mathematical Sciences (GJMS), 2(2), 2015.
  • Vijaysekhar Chellaboina, Sanjay P Bhat, and Deep Shikha. On pricing and optimal hedging of path-dependent financial derivatives. Nonlinear Studies, 21(2), 2014.
  • W. M. Haddad, S. G. Nersesov, and V. Chellaboina. Heat flow, work energy, chemical reactions, and thermodynamics: A dynamical systems perspective. In T. Mizutani, editor, Thermodynamics, pages 51–72. InTech, 2011.
  • W.M. Haddad, Q. Hui, and V. Chellaboina. H2 optimal semistable control for linear dynamical systems: An LMI approach. Journal of the Franklin Institute, 348:2898–2910, 2011.
  • V. Chellaboina, W. M. Haddad, H. Li, and J. M. Bailey. Limit cycle stability analysis and adaptive control of a multi-compartment model for a pressure-limited respirator and lung mechanics system. Int. J. Contr., pages 940–955, 2010.
  • E. Subramanian, V. Chellaboina, A. Bhatia, and S. P. Bhat. Discrete-time hedging for european contingent claims via risk minimization in market measure. Drishtikon, 2, 2010.
  • V. Chellaboina, S. P. Bhat, W. M. Haddad, and D. S. Bernstein. Modeling and analysis of mass-action kinetics: Nonnegativity, realizability, reducibility, and semistability. IEEE Contr. Syst. Mag., 29:60–78, 2009.
  • W. M. Haddad, V. Chellaboina, and B. Gholami. H2 suboptimal estimation and control for nonnegative dynamical systems. Opt. Contr. Appl. Meth., 30:27–47, 2009.
  • V. Chellaboina, W.M. Haddad, Q. Hui, and J. Ramakrishnan. On system state equipartitioning and semistability in network dynamical systems with arbitrary time-delays. Systems & Control Letters, 57:670–679, 2008.
  • V. Chellaboina, W.M. Haddad, and A. Kamath. The structured phase margin for robust stability analysis of linear systems with phase and time delay uncertainties. International Journal of Control, 81(8):1298–1310, 2008.
  • W. M. Haddad, V. Chellaboina, Q. Hui, and T. Hayakawa. Neural network adaptive control for discrete-time nonlinear nonnegative dynamical systems. Adv. Diff. Eqs., 2008:1–29, 2008.
  • W.M. Haddad, V. Chellaboina, and B. Gholami. Controller synthesis with guaranteed closed-loop phase constraints. Automatica, 44(12):3211–3214, 2008.
  • W.M. Haddad, V. Chellaboina, and S.G. Nersesov. Time-reversal symmetry, Poincar´e recurrence, irreversibility, and the entropic arrow of time: From mechanics to system thermodynamics. Nonlinear Analysis: Real World Applications, 9(2):250–271, 2008.
  • V. Chellaboina, W. M. Haddad, J. Ramakrishnan, and Q. Hui. Direct adaptive control of nonnegative and compartmental systems with time delay. Biology and Control Theory: Current Challenges, pages 291–316, 2007.
  • Z.C. Feng, M. Fan, and V. Chellaboina. Adaptive input estimation methods for improving the band-width of microgyroscopes. IEEE Sensors Journal, 7(4):562–567, 2007.
  • W. M. Haddad, Q. Hui, V. Chellaboina, and S. G. Nersesov. Hybrid decentralized maximum entropy control for large-scale dynamical systems. Nonlinear Analysis: Hybrid Systems, 1:244–263, 2007.
  • W.M. Haddad, V. Chellaboina, Q. Hui, and SG Nersesov. Energy-and entropy-based stabilization for lossless dynamical systems via hybrid controllers. IEEE Transactions on Automatic Control, 52(9):1604–1614, 2007.
  • V. Chellaboina, W.M. Haddad, and A. Kamath. A dynamical dissipative systems approach to stability analysis of time-delay systems. Int. J. Robust and Nonlinear Control, 15:25–33, 2005.
  • W. M. Haddad, T. Hayakawa, S. G. Nersesov, nonlinear uncertain impulsive dynamical systems. 2005 and V. Chellaboina. Hybrid adaptive control for Int. J. Adapt. Control Signal Process., 19:445–469.
  • W.M. Haddad and V. Chellaboina. Stability and dissipativity theory for nonnegative dynamical sys-tems: a unified analysis framework for biological and physiological systems. Nonlinear Analysis: Real World Applications, 6(1):35–65, 2005.
  • W.M. Haddad, Q. Hui, S.G. Nersesov, and V. Chellaboina. Thermodynamic modeling, energy equipar-tition, and nonconservation of entropy for discrete-time dynamical systems. Advances in Difference Equations, 2005(3):275–318, 2005.
  • W.M. Haddad, N.A. Kablar, V. Chellaboina, and S.G. Nersesov. Optimal disturbance rejection control for nonlinear impulsive dynamical systems. Nonlinear Analysis, 62(8):1466–1489, 2005.
  • T. Hayakawa, W.M. Hadda, N. Hovakimyan, and V. Chellaboina. Neural network adaptive control for nonnegative nonlinear dynamical system. IEEE Transactions on Neural Networks, 16(2):399–413, 2005.
  • Q. Hui, W. M. Haddad, V. Chellaboina, and T. Hayakawa. Adaptive control of mammillary drug delivery systems with actuator amplitude constraints and system time delays. Eur. J. Contr., 11:586– 600, 2005.
  • X. Zhang, W. Xu, S.S. Nair, and V. Chellaboina. PDE modeling and control of a flexible two-link manipulator. IEEE Transactions on Control Systems Technology, 13(2):301–312, 2005.
  • V. Chellaboina, W. M. Haddad, J. M. Bailey, and J. Ramakrishnan. On monotonicity of solutions of discrete-time nonnegative and compartmental dynamical systems. Adv. Diff. Eqs., 2004:261–271, 2004.
  • V. Chellaboina, W.M. Haddad, JM Bailey, and J. Ramakrishnan. On nonoscillation and monotonicity of solutions of nonnegative and compartmental dynamical systems. IEEE Transactions on Biomedical Engineering, 51(3):408–414, 2004.
  • W. M. Haddad, V. Chellaboina, and S. G. Nersesov. Vector dissipativity theory and stability of feedback interconnections for large-scale nonlinear dynamical systems. Int. J. Contr., 77:907–919, 2004.
  • W. M. Haddad, V. Chellaboina, and T. Rajpurohit. Dissipativity theory for nonnegative and com-partmental dynamical systems with time delay. IEEE Trans. Autom. Contr., 49:747–751, 2004.
  • W. M. Haddad, S. G. Nersesov, and V. Chellaboina. Lyapunov function proof of Poincar´e’s theorem. Int. J. Syst. Sci., 35:287–292, 2004.
  • W.M. Haddad and V. Chellaboina. Stability and dissipativity theory for nonnegative and compart-mental dynamical systems with time delay, Advances in time-delay systems. Lect. Notes Comput. Sci. Eng, 38:421–435, 2004.
  • W.M. Haddad and V. Chellaboina. Stability and dissipativity theory for nonnegative and compart-mental dynamical systems with time delay. Advances in time-delay systems, pages 421–435, 2004.
  • W.M. Haddad and V. Chellaboina. Stability theory for nonnegative and compartmental dynamical systems with time delay. Systems & Control Letters, 51(5):355–361, 2004.
  • W.M. Haddad, V. Chellaboina, Q. Hui, and S. Nersesov. Vector dissipativity theory for large-scale impulsive dynamical systems. Mathematical Problems in Engineering, 3(2004):225–262, 2004.
  • W.M. Haddad, V. Chellaboina, and S.G. Nersesov. Thermodynamics and Large-Scale Non-Linear Dynamical Systems: a Vector Dissipative Systems Approach. Dynamics of continuous, discrete, and impulsive systems: Series B, 11:609–649, 2004.
  • S. G. Nersesov, W. M. Haddad, and V. Chellaboina. Optimal fixed-structure control for linear non-negative dynamical systems. Int. J. Robust and Nonlinear Control, 14:487–511, 2004.
  • V. Chellaboina, S.P. Bhat, and W.M. Haddad. An invariance principle for nonlinear hybrid and impulsive dynamical systems. Nonlinear Analysis, 53(3-4):527–550, 2003.
  • V. Chellaboina and W. M. Haddad. Authors’ reply to comments on is the Frobenius matrix norm induced? IEEE Trans. Autom. Contr., 48:519–520, 2003.
  • V. Chellaboina, W. M. Haddad, and T. Hayakawa. Direct adaptive control for nonlinear matrix second-order dynamical systems with state-dependent uncertainty. Syst. Contr. Lett., 48:53–67, 2003.
  • V. Chellaboina and W.M. Haddad. Exponentially dissipative nonlinear dynamical systems: A nonlinear extension of strict positive realness. Mathematical Problems in Engineering, 1(2003):25–45, 2003.
  • W.M. Haddad, V. Chellaboina, and E. August. Stability and dissipativity theory for discrete-time non-negative and compartmental dynamical systems. International Journal of Control, 76(18):1845–1861, 2003.
  • W.M. Haddad, V. Chellaboina, and J.H. Oh. Linear controller analysis and design for systems with input hystereses nonlinearities. Journal of the Franklin Institute, 340(5):371–390, 2003.
  • W.M. Haddad, T. Hayakawa, and V. Chellaboina. Robust adaptive control for nonlinear uncertain systems. Automatica, 39(3):551–556, 2003.
  • W.M. Haddad, S.G. Nersesov, and V. Chellaboina. Energy-based control for hybrid port-controlled Hamiltonian systems. Automatica, 39(8):1425–1435, 2003.
  • A.V. Roup, D.S. Bernstein, S.G. Nersesov, W.M. Haddad, and V. Chellaboina. Limit cycle analysis of the verge and foliot clock escapement using impulsive differential equations and Poincar´e maps. International Journal of Control, 76(17):1685–1698, 2003.
  • V. Chellaboina and W.M. Haddad. A unification between partial stability and stability theory for time-varying systems. IEEE Control Systems Magazine, 22(6):66–75, 2002
  • V. Chellaboina and W.M. Haddad. Stability margins of discrete-time nonlinear-non-quadratic optimal regulators. International Journal of Systems Science, 33(7):577–584, 2002.
  • W. M. Haddad, V. Chellaboina, and S. G. Nersesov. A unification between partial stability of state-dependent impulsive systems and stability theory of time-dependent impulsive systems. Int. J. Hybrid Syst., 2:155–168, 2002.
  • W.M. Haddad, V. Chellaboina, and S.G. Nersesov. Hybrid nonnegative and compartmental dynamical systems. Mathematical Problems in Engineering, 8(6):493–515, 2002.
  • S. G. Nersesov, V. Chellaboina, and W. M. Haddad. A generalization of Poincar´es theorem to hybrid and impulsive dynamical systems. Int. J. Hybrid Syst., 2:39–55, 2002.
  • C. Vijaysekhar and M. Hadddad Wassim. A unification between partial stability and stability theory for timevarying systems. IEEE Control Systems Magazine, 22:66–75, 2002.
  • W.M. Haddad and V. Chellaboina. Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems, Math. Problems Engrg, 7(4):299–335, 2001.
  • W.M. Haddad and V. Chellaboina. Nonlinear control of Hammerstein systems with passive nonlinear dynamics. IEEE Transactions on Automatic Control, 46(10):1630–1634, 2001.
  • W.M. Haddad, V. Chellaboina, and N.A. Kablar.  Non-linear impulsive dynamical systems. Part I: Stability and Dissipativity. International Journal of Control, 74(17):1631–1658, 2001.
  • W.M. Haddad, V. Chellaboina, and N.A. Kablar. Non-linear impulsive dynamical systems. Part II: Stability of feedback interconnections and optimality. International Journal of Control, 74(17):1659– 1677, 2001.
  • W.M. Haddad, V. Chellaboina, and S.G. Nersesov. On the equivalence between dissipativity and optimality of nonlinear hybrid controllers. Int. J. Hybrid Sys, 1:51–65, 2001.
  • A. Leonessa, W.M. Haddad, and V. Chellaboina. Nonlinear system stabilization via hierarchical switching control. IEEE Transactions on Automatic Control, 46(1):17–28, 2001.
  • R.T. Bupp, D.S. Bernstein, V. Chellaboina, and W.M. Haddad. Finitetime stabilization of the double integrator using a virtual trap-door absorber. IEEE Trans. Autom. Contr, 45:776–780, 2000.
  • R.T. Bupp, D.S. Bernstein, V. Chellaboina, and W.M. Haddad. Resetting virtual absorbers for control. J.Vibr.Control,6:61-83, 2000.
  • R.T. Buppo, D.S. Bernstein, V. Chellaboina, and W.M. Haddad. Finite settling time control of the double integrator using avirtual trap-door absorber. IEEE Transactions on Automatic Control, 45(4):776–780, 2000.
  • V. Chellaboina and W. M. Haddad. Stability margins of nonlinear optimal regulators with nonquadratic performance criteria involving cross-weighting terms. Syst. Contr. Lett., 39:71–78, 2000.
  • V. Chellaboina, W.M. Haddad, D.S. Bernstein, and D.A. Wilson. Induced convolution operator norms of linear dynamical systems. Mathematics of Control, Signals, and Systems (MCSS), 13(3):216–239, 2000.
  • V. Chellaboina, W.M. Haddad, and J.H. Oh. Fixed-order dynamic compensation for linear systems with actuator amplitude and rate saturation constraints. International Journal of Control, 73(12):1087– 1103, 2000.
  • J.L. Fausz, V. Chellaboina, and W.M. Haddad. Inverse optimal adaptive control for non-linear un-certain systems with exogenous disturbances. International Journal of Adaptive Control and Signal Processing, 14(1):1–38, 2000.
  • W. M. Haddad, V. Chellaboina, J.R. Corrado, and D. S. Bernstein. Robust fixed-structure controller synthesis using the implicit small gain bound. J. Franklin Inst., 337:85–96, 2000.
  • W. M. Haddad, V. Chellaboina, and R. Kumar. Multiobjective L1/H controller design with frequency and time domain constraints. Eur. J. Contr., 6:170–183, 2000.
  • W.M. Haddad, V. Chellaboina, J.L. Fausz, and A. Leonessa. Optimal non-linear robust control for non-linear uncertain systems. International Journal of Control, 73(4):329–342, 2000.
  • W.M. Haddad, V. Chellaboina, and W. Wu. Optimal nonlinear–nonquadratic feedback control for nonlinear discrete-time systems with l 2 and l disturbances. Nonlinear Analysis, 41(3-4):287–312, 2000.
  • A. Leonessa, V. Chellaboina, and W. M. Haddad. Robust stabilization of axial flow compressors with uncertain pressure-flow maps. IEEE Trans. Contr. Syst. Tech., 8:466–473, 2000.
  • A. Leonessa, W.M. Haddad, and V. Chellaboina. Hierarchical nonlinear switching control design with applications to propulsion systems. Springer Verlag, 2000.
  • A. Leonessa, W.M. Haddad, and V. Chellaboina. Nonlinear robust hierarchical control for nonlinear uncertain systems. Mathematical Problems in Engineering, 5(6):499–542, 2000.
  • V. Chellaboina, A. Leonessa, and W. M. Haddad. Generalized Lyapunov and invariant set theorems for nonlinear dynamical systems. Syst. Contr. Lett., 38:289–295, 1999.
  • W. M. Haddad, A. Leonessa, V. Chellaboina, and J. L. Fausz. Nonlinear robust disturbance rejection controllers for rotating stall and surge in axial flow compressors. IEEE Trans. Contr. Syst. Tech., 7:391–398, 1999.
  • W.M. Haddad, J.L. Fausz, and V. Chellaboina. Nonlinear controllers for nonlinear systems with input nonlinearities. Journal of the Franklin Institute, 336(4):649–664, 1999.
  • A. Leonessa, V. Chellaboina, and W.M. Haddad. Multi-mode control of axial compressors via stability-based switching controllers. Journal of propulsion and power, 15(2):364–367, 1999.
  • W. M. Haddad and V. Chellaboina. Mixed-norm H2/L1 controller synthesis via fixed-order dynamic compensation: A Riccati equation approach. Int. J. Contr., 71:35–59, 1998.
  • W. M. Haddad and V. Chellaboina. Nonlinear fixed-order dynamic compensation for passive systems. Int. J. Robust and Nonlinear Control, 8:349–365, 1998.
  • W. M. Haddad, J. L. Fausz, V. Chellaboina, and C. T. Abdallah. A unification between nonlinear-nonquadratic optimal control and integrator backstepping. Int. J. Robust and Nonlinear Control, 8:879–906, 1998.
  • W.M. Haddad and V. Chellaboina. Optimal nonlinear–nonquadratic feedback control for systems with L2 and L disturbances. Nonlinear Analysis, 34(2):229–255, 1998.
  • W.M. Haddad, V. Chellaboina, and JL Fausz. Robust nonlinear feedback control for uncertain linear systems with nonquadratic performance criteria. Systems & control letters, 33(5):327–338, 1998.
  • W.M. Haddad, V. Chellaboina, J.L. Fausz, and C. Abdallah. Optimal discrete-time control for non-linear cascade systems. Journal of the Franklin Institute, 335(5):827–839, 1998.
  • V. Chellaboina and W. M. Haddad. Solution to ’some matrix integral identities’. SIAM Review, 39:763–765, 1997.
  • V. Chellaboina and W.M. Haddad. Structured matrix norms for real and complex block-structured uncertainty. Automatica (Journal of IFAC), 33(5):995–997, 1997.
  • W. M. Haddad, V. Chellaboina, and D. S. Bernstein. An implicit small gain condition and an upper bound for the real structured singular value. Syst. Contr. Lett., 29:197–205, 1997.
  • W. M. Haddad, Jr. E.G. Collins, D.C. Hyland, and V. Chellaboina. Frequency domain performance bounds for uncertain structures with sensor and actuator dynamics. Int. J. Contr., 66:381–392, 1997.
  • W.M. Haddad and V. Chellaboina. Robust nonlinear-nonquadratic feedback control via parameterde-pendent Lyapunov functions. International Journal of Control, 66(6):843–861, 1997.
  • W.M. Haddad, V. Chellaboina, and J.L. Fausz. Optimal nonlinear disturbance rejection control for nonlinear cascade systems. International Journal of Control, 68(5):997–1018, 1997.
  • W.M. Haddad, V. Kapila, and V. Chellaboina. Guaranteed domains of attraction for multivariable Lur´e systems via open Lyapunov surfaces. International Journal of Robust and Nonlinear Control, 7(10):935–949, 1997.
  • W. M. Haddad, V. Chellaboina, and D. S. Bernstein. Real-µ bounds based on fixed shapes in the Nyquist plane: Parabolas, hyperbolas, cissoids, nephroids, and octomorphs. Syst. Contr. Lett., 27:55– 66, 1996.
  • W.M. Haddad, D.S. Bernstein, and V. Chellaboina. Generalized mixed-µ bounds for real and complex multiple-block uncertainty with internal matrix structure. International Journal of Control, 64(5):789– 806, 1996.
  • W.M. Haddad and V. Chellaboina. Discrete-time nonlinear analysis and feedback control with non-quadratic performance criteria. Journal of the Franklin Institute, 333(6):849–860, 1996.
  • D.C. Hyland, Jr. E.G. Collins, W. M. Haddad, and V. Chellaboina. Frequency domain performance bounds for uncertain positive real systems. AIAA J. Guid. Contr. Dyn., 19:398–406, 1996.
  • V. Chellaboina and W.M. Haddad. Is the Frobenius matrix norm induced? IEEE Transactions on Automatic Control, 40(12):2137–2139, 1995.

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