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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th-cmuir.6653943832-474882018-04-25T08:40:36Z 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 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. 2018-04-25T08:40:36Z 2018-04-25T08:40:36Z 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/6653943832/47488 |
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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. |
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Journal |
| author |
Manlika Rajchakit Piyapong Niamsup Grienggrai Rajchakit |
| spellingShingle |
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 |
| 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/6653943832/47488 |
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