Exponentially incremental dissipativity for nonlinear stochastic switched systems |
| |
Authors: | Yuanhong Ren Weiqun Wang Weisong Zhou |
| |
Affiliation: | 1. School of Science, Nanjing University of Science and Technology, Nanjing, People's Republic of China;2. Research Center for System Theory and Application, Chongqing University of Posts and Telecommunications, Chongqing, People's Republic of China |
| |
Abstract: | ABSTRACTIn this paper, we investigate the exponentially incremental dissipativity for nonlinear stochastic switched systems by using the designed state-dependent switching law and multiple Lyapunov functions approach. Specifically, using incremental supply rate as well as a state dissipation inequality in expectation, a stochastic version of exponentially incremental dissipativity is presented. The sufficient conditions for nonlinear stochastic switched systems to be exponentially incrementally dissipative are given by the designed state-dependent switching law. Furthermore, the extended Kalman–Yakubovich–Popov conditions are derived by using two times continuously differentiable storage functions. Moreover, the incremental stability conditions in probability for nonlinear stochastic switched systems are derived based on exponentially incremental dissipativity. The exponentially incremental dissipativity is preserved for the feedback-interconnected nonlinear stochastic switched systems with the composite state-dependent switching law; meanwhile, the incremental stability in probability is preserved under some certain conditions. A numerical example is given to illustrate the validity of our results. |
| |
Keywords: | Exponentially incremental dissipativity stochastic switched systems incremental stability in probability state-dependent switching law |
|
|