On a state space approach to nonlinear H∞ control
Systems & Control Letters
Passivity and absolute stabilization of a class of discrete-time nonlinear systems
Automatica (Journal of IFAC)
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
A Generalized Approach for Analysis and Control of Discrete-Time Piecewise Affine and Hybrid Systems
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
Brief Equivalence of hybrid dynamical models
Automatica (Journal of IFAC)
Computation of Lyapunov functions for smooth nonlinear systems using convex optimization
Automatica (Journal of IFAC)
Analysis and control of discrete-time piecewise linear time-delay systems
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
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In this paper we consider discrete-time piecewise affine hybrid systems with Boolean inputs, outputs and states and we show that they can be represented in a canonical form where the logic variables influence the switching between different submodels but not the continuous-valued dynamics. We exploit this representation for studying Lagrange stability and developing performance analysis procedures based on linear matrix inequalities. Moreover, by using arguments from dissipativity theory for nonlinear systems, we generalize our approach to solve the H驴 analysis problem.