Abstract
This chapter is mainly concerned with the input-to-state stability concept of nonlinear stochastic switched systems with bounded disturbance input. The primary objective is to develop Lyapunov-like sufficient conditions guaranteeing the stability property in the pth moment. To control the switching among the system modes, we adopt two switching rules, an initial-state-dependent dwell-time switching signal and Markovian switching. We consider systems consisting of a set of all stable modes and a set of stable and unstable modes. Also, implications of these results are stated with enhancing examples.
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© 2018 Springer Nature Singapore Pte Ltd. and Higher Education Press, Beijing
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Alwan, M.S., Liu, X. (2018). Input-to-State Stability for Stochastic Switched Systems. In: Theory of Hybrid Systems: Deterministic and Stochastic. Nonlinear Physical Science. Springer, Singapore. https://doi.org/10.1007/978-981-10-8046-3_6
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DOI: https://doi.org/10.1007/978-981-10-8046-3_6
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