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- W4200453079 abstract "This paper studies the stochastic stability problem for Markovian jump systems with unified uncertain transition rates via multiple integral techniques. The considered transition rates unify some existing ones in a framework, which are more general and practical. A multiple-integral-type Lyapunov–Krasovskii functional (MITLKF) is constructed, which contains more ply of integral terms than some existing ones. In order to obtain a tighter bound of the MITLKF, an auxiliary function-based multiple integral inequality (AFMII) is proposed, which encompasses some existing ones as its special cases. Based on these ingredients, a novel stability condition is derived for Markovian jump systems with the unified uncertain transition rates. The effectiveness of the proposed approach is demonstrated by two examples." @default.
- W4200453079 created "2021-12-31" @default.
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- W4200453079 date "2021-12-01" @default.
- W4200453079 modified "2023-10-02" @default.
- W4200453079 title "Multiple integral techniques for stochastic stability analysis of Markovian jump systems: A unified uncertain transition rates" @default.
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- W4200453079 doi "https://doi.org/10.1016/j.jfranklin.2021.11.037" @default.
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