Limits...
P-th moment and almost sure stability of stochastic switched nonlinear systems

View Article: PubMed Central - PubMed

ABSTRACT

This paper mainly tends to utilize \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi$$\end{document}ψ-type function to investigate p-th moment and almost sure stability for a class of stochastic switched nonlinear systems. Based on the multiple Lyapunov functions approach, some sufficient conditions are derived to check the stability criteria of stochastic switched nonlinear systems. One numerical example is provided to demonstrate the effectiveness of the proposed results.

No MeSH data available.


Switching signal of the stochastic switched nonlinear systems
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC5121118&req=5

Fig1: Switching signal of the stochastic switched nonlinear systems

Mentions: By Theorem 1, we can choose , then , , which means that the conditions of Theorem 1 are satisfied. So the stochastic switched nonlinear systems are p-th moment stable. The switching signal and the state trajectory are presented in Figs. 1 and 2 respectively.Fig. 1


P-th moment and almost sure stability of stochastic switched nonlinear systems
Switching signal of the stochastic switched nonlinear systems
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5121118&req=5

Fig1: Switching signal of the stochastic switched nonlinear systems
Mentions: By Theorem 1, we can choose , then , , which means that the conditions of Theorem 1 are satisfied. So the stochastic switched nonlinear systems are p-th moment stable. The switching signal and the state trajectory are presented in Figs. 1 and 2 respectively.Fig. 1

View Article: PubMed Central - PubMed

ABSTRACT

This paper mainly tends to utilize \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi$$\end{document}ψ-type function to investigate p-th moment and almost sure stability for a class of stochastic switched nonlinear systems. Based on the multiple Lyapunov functions approach, some sufficient conditions are derived to check the stability criteria of stochastic switched nonlinear systems. One numerical example is provided to demonstrate the effectiveness of the proposed results.

No MeSH data available.