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Mean square stabilization for stochastic switched fuzzy systems

Authors: Hong Yang; Liangjie Li; Mian Zhang; Yanni Shi; Zhile Wei; Yingsong Jiang;

Mean square stabilization for stochastic switched fuzzy systems

Abstract

In this paper, a mean square stabilization criterion for stochastic switched fuzzy (SSF) systems is proposed. SSF system, which differs from existing ones, can often incorporate discrete states, continuous dynamics and randomness as well as their interactions in complex real-world systems. In the beginning, switching parallel distributed compensation controller is introduced. The multiple Lyapunov function methods are adopted to establish the stability results. Moreover, sufficient conditions for mean square stability are presented and stabilizing switching laws of the state-dependent form are designed. Simultaneously, switching techniques are used to derive the criteria, some subsystems are allowed to be unstable. Finally, the elaborated illustrative example demonstrates the effectiveness of the proposed method.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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