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.6653943832-72382014-08-30T03:51:43Z 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 Rajchakit M. Niamsup P. Rajchakit G. 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. 2014-08-30T03:51:43Z 2014-08-30T03:51:43Z 2013 Article 10255834 10.1186/1029-242X-2013-499 http://www.scopus.com/inward/record.url?eid=2-s2.0-84887642116&partnerID=40&md5=66252a9b11d91a6f6817d15a6d52a0f4 http://cmuir.cmu.ac.th/handle/6653943832/7238 English |
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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. |
| format |
Article |
| author |
Rajchakit M. Niamsup P. Rajchakit G. |
| spellingShingle |
Rajchakit M. Niamsup P. Rajchakit G. 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 |
Rajchakit M. Niamsup P. Rajchakit G. |
| author_sort |
Rajchakit M. |
| 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 |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84887642116&partnerID=40&md5=66252a9b11d91a6f6817d15a6d52a0f4 http://cmuir.cmu.ac.th/handle/6653943832/7238 |
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1681420763046871040 |