A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay

A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay

This paper addresses a mean square exponential stability problem for a class of switched stochastic systems with time-varying delay. The time delay is any continuous function belonging to a given interval, but not necessary differentiable. By constructing a suitable augmented Lyapunov-Krasovskii fun...

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Main Authors: Manlika Rajchakit, Piyapong Niamsup, Grienggrai Rajchakit
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84887642116&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52732
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-527322018-09-04T09:31:15Z A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay Manlika Rajchakit Piyapong Niamsup Grienggrai Rajchakit Mathematics This paper addresses a mean square exponential stability problem for a class of switched stochastic systems with time-varying delay. The time delay is any continuous function belonging to a given interval, but not necessary differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the mean square exponential stability of switched stochastic systems with time-varying delay are first established in terms of LMIs. Numerical example is given to show the effectiveness of the obtained result. ©2013 Rajchakit et al.; licensee Springer. 2018-09-04T09:31:15Z 2018-09-04T09:31:15Z 2013-11-21 Journal 1029242X 10255834 2-s2.0-84887642116 10.1186/1029-242X-2013-499 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84887642116&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52732
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Manlika Rajchakit
Piyapong Niamsup
Grienggrai Rajchakit
A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
description This paper addresses a mean square exponential stability problem for a class of switched stochastic systems with time-varying delay. The time delay is any continuous function belonging to a given interval, but not necessary differentiable. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the mean square exponential stability of switched stochastic systems with time-varying delay are first established in terms of LMIs. Numerical example is given to show the effectiveness of the obtained result. ©2013 Rajchakit et al.; licensee Springer.
format Journal
author Manlika Rajchakit
Piyapong Niamsup
Grienggrai Rajchakit
author_facet Manlika Rajchakit
Piyapong Niamsup
Grienggrai Rajchakit
author_sort Manlika Rajchakit
title A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
title_short A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
title_full A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
title_fullStr A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
title_full_unstemmed A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
title_sort constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84887642116&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52732
_version_ 1681424004894687232

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