Finite-time stability and stabilization of nonlinear stochastic hybrid systems☆

By Ying-Xu Yang, Junmi Li, Guopei Chen. 2009

108 citations recorded by the source corpus.

This paper deals with the problem of finite-time stability and stabilization of nonlinear Markovian switching stochastic systems which exist impulses at the switching instants. Using multiple Lyapunov function theory, a sufficient condition is established for finite-time stability of the underlying systems. Furthermore, based on the state partition of continuous parts of systems, a feedback controller is designed such that the corresponding impulsive stochastic closed-loop systems are finite-time stochastically stable. A numerical example is presented to illustrate the effectiveness of the proposed method.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/13523ae970ca874bf1abf0ebfcc38db7c2ea0ff1

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In Computer Networks and Communications

In Control and Systems Engineering

Citations in the corpus

Stability analysis for stochastic hybrid systems: A survey (2014, background): “, 1991, 1993; Hanson, 2007; Mao, 1999; Mao & Yuan, 2006; Yin & Zhu, 2010) and impulsive switching diffusions (Yang et al., 2009),where the flows are stochastic via the stochastic differential equation dz = bq(z)dt + σq(z)dw.”
Finite-time regional verification of stochastic non-linear systems (2011, methodology): “Much of the continuous-state verification research has focused on non-linear systems with Gaussian and switching noise (Prajna et al. 2004a; Yang et al. 2009).”