Optimal persistent disturbance attenuation control for linear hybrid systems

[1]  Theodore Motzkin The theory of linear inequalities , 1952 .

[2]  D. Bertsekas Infinite time reachability of state-space regions by using feedback control , 1972 .

[3]  F. Blanchini Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions , 1994, IEEE Trans. Autom. Control..

[4]  Eduardo D. Sontag,et al.  Interconnected Automata and Linear Systems: A Theoretical Framework in Discrete-Time , 1996, Hybrid Systems.

[5]  M. Dahleh,et al.  Control of Uncertain Systems: A Linear Programming Approach , 1995 .

[6]  Thomas A. Henzinger,et al.  The Algorithmic Analysis of Hybrid Systems , 1995, Theor. Comput. Sci..

[7]  Pravin Varaiya,et al.  Verification of Hybrid Systems using Abstractions , 1996 .

[8]  J.-C. Hennet,et al.  On (A, B)-invariance of polyhedral domains for discrete-time systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[9]  Franco Blanchini,et al.  Robust performance with fixed and worst-case signals for uncertain time-varying systems , 1997, Autom..

[10]  Robin J. Evans,et al.  A new approach to robust control of hybrid systems over infinite time , 1998, IEEE Trans. Autom. Control..

[11]  M. Jirstrand Invariant sets for a class of hybrid systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[12]  Pravin Varaiya,et al.  What's decidable about hybrid automata? , 1995, STOC '95.

[13]  P. Caines,et al.  Hierarchical hybrid control systems: a lattice theoretic formulation , 1998, IEEE Trans. Autom. Control..

[14]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[15]  Franco Blanchini,et al.  Set invariance in control , 1999, Autom..

[16]  Arjan van der Schaft,et al.  An Introduction to Hybrid Dynamical Systems, Springer Lecture Notes in Control and Information Sciences 251 , 1999 .

[17]  Mireille E. Broucke A Geometric Approach to Bisimulation and Verification of Hybrid Systems , 1999, HSCC.

[18]  Johannes Schumacher,et al.  An Introduction to Hybrid Dynamical Systems, Springer Lecture Notes in Control and Information Sciences 251 , 1999 .

[19]  Alberto Bemporad,et al.  Control of systems integrating logic, dynamics, and constraints , 1999, Autom..

[20]  John Lygeros,et al.  Controllers for reachability specifications for hybrid systems , 1999, Autom..

[21]  A. Pnueli,et al.  Effective synthesis of switching controllers for linear systems , 2000, Proceedings of the IEEE.

[22]  E. Kerrigan Robust Constraint Satisfaction: Invariant Sets and Predictive Control , 2000 .

[23]  J. Maciejowski,et al.  Invariant sets for constrained nonlinear discrete-time systems with application to feasibility in model predictive control , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[24]  R. Decarlo,et al.  Perspectives and results on the stability and stabilizability of hybrid systems , 2000, Proceedings of the IEEE.

[25]  George J. Pappas,et al.  Discrete abstractions of hybrid systems , 2000, Proceedings of the IEEE.

[26]  Alberto Bemporad,et al.  Observability and controllability of piecewise affine and hybrid systems , 2000, IEEE Trans. Autom. Control..

[27]  S. Sastry,et al.  Decidable and semi-decidable controller synthesis for classes of discrete time hybrid systems , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[28]  Bo Hu,et al.  Disturbance attenuation properties of time-controlled switched systems , 2001, J. Frankl. Inst..

[29]  Panos J. Antsaklis,et al.  An invariant‐based approach to the design of hybrid control systems , 2001 .

[30]  M. Morari,et al.  Analysis and control with performance of piecewise affine and hybrid systems , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[31]  Panos J. Antsaklis,et al.  Controller synthesis for a class of uncertain piecewise linear hybrid dynamical systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[32]  A. Michel,et al.  Qualitative analysis of discrete-time switched systems , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[33]  Jean-Pierre Aubin,et al.  Impulse differential inclusions: a viability approach to hybrid systems , 2002, IEEE Trans. Autom. Control..

[34]  Rolf Johansson,et al.  Nonlinear and Hybrid Systems in Automotive Control , 2002 .

[35]  Alberto Bemporad,et al.  On the Optimal Control Law for Linear Discrete Time Hybrid Systems , 2002, HSCC.

[36]  Hai Lin,et al.  Disturbance attenuation properties for discrete-time uncertain switched linear systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[37]  Panos J. Antsaklis,et al.  Robust stability and disturbance attenuation analysis of a class of networked control systems , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[38]  Maria Domenica Di Benedetto,et al.  Approximations of maximal controlled safe sets for hybrid systems , 2003 .

[39]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[40]  João Pedro Hespanha,et al.  Root-mean-square gains of switched linear systems , 2003, IEEE Trans. Autom. Control..

[41]  M. Johansson,et al.  Piecewise Linear Control Systems , 2003 .

[42]  Hai Lin,et al.  Robust Regulation of Polytopic Uncertain Linear Hybrid Systems with Networked Control System Applications , 2003 .

[43]  João Pedro Hespanha,et al.  Uniform stability of switched linear systems: extensions of LaSalle's Invariance Principle , 2004, IEEE Transactions on Automatic Control.

[44]  Panos J. Antsaklis,et al.  Optimal control of switched systems based on parameterization of the switching instants , 2004, IEEE Transactions on Automatic Control.

[45]  Hai Lin,et al.  Disturbance attenuation in classes of uncertain linear hybrid systems , 2004, Proceedings of the 2004 American Control Conference.

[46]  Shuzhi Sam Ge,et al.  Analysis and synthesis of switched linear control systems , 2005, Autom..

[47]  Hai Lin,et al.  Switched Linear Systems: Control and Design , 2006, IEEE Transactions on Automatic Control.

[48]  F. Violet,et al.  on a , 2021 .

[49]  Hai,et al.  Uniformly Ultimate Boundedness Control for Uncertain Switched Linear Systems , 2022 .