Verifying average dwell time of hybrid systems
ACM Transactions on Embedded Computing Systems (TECS)
Decompositional Construction of Lyapunov Functions for Hybrid Systems
HSCC '09 Proceedings of the 12th International Conference on Hybrid Systems: Computation and Control
Brief paper: A unified dissipativity approach for stability analysis of piecewise smooth systems
Automatica (Journal of IFAC)
Symbolic control of stochastic switched systems via finite abstractions
QEST'13 Proceedings of the 10th international conference on Quantitative Evaluation of Systems
Exponential stability of stochastic systems with hysteresis switching
Automatica (Journal of IFAC)
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This paper presents a general framework for analyzing stability of nonlinear switched systems, by combining the method of multiple Lyapunov functions with a suitably adapted comparison principle in the context of stability in terms of two measures. For deterministic switched systems, this leads to a unification of representative existing results and an improvement upon the current scope of the method of multiple Lyapunov functions. For switched systems perturbed by white noise, we develop new results which may be viewed as natural stochastic counterparts of the deterministic ones. In particular, we study stability of deterministic and stochastic switched systems under average dwell-time switching.