Finite Time Stability of Stochastic Hybrid Systems
This paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems. Then, by using common Lyapunov function and multiple Lyapunov functions theory,...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/867189 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849434717611360256 |
|---|---|
| author | Ying Yang Guopei Chen |
| author_facet | Ying Yang Guopei Chen |
| author_sort | Ying Yang |
| collection | DOAJ |
| description | This paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems. Then, by using common Lyapunov function and multiple Lyapunov functions theory, two
sufficient conditions for finite time stability of stochastic hybrid systems are presented. Furthermore, a new notion called stochastic minimum dwell time is proposed and then, combining it with the method of multiple Lyapunov functions, a sufficient condition for finite time stability of stochastic hybrid systems is given. Finally, a numerical example is provided to illustrate the theoretical results. |
| format | Article |
| id | doaj-art-e388697712164699a5cb0fc341ced6f4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e388697712164699a5cb0fc341ced6f42025-08-20T03:26:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/867189867189Finite Time Stability of Stochastic Hybrid SystemsYing Yang0Guopei Chen1Department of Mathematics, Huizhou University, Huizhou 516007, ChinaDepartment of Mathematics, Huizhou University, Huizhou 516007, ChinaThis paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems. Then, by using common Lyapunov function and multiple Lyapunov functions theory, two sufficient conditions for finite time stability of stochastic hybrid systems are presented. Furthermore, a new notion called stochastic minimum dwell time is proposed and then, combining it with the method of multiple Lyapunov functions, a sufficient condition for finite time stability of stochastic hybrid systems is given. Finally, a numerical example is provided to illustrate the theoretical results.http://dx.doi.org/10.1155/2014/867189 |
| spellingShingle | Ying Yang Guopei Chen Finite Time Stability of Stochastic Hybrid Systems Abstract and Applied Analysis |
| title | Finite Time Stability of Stochastic Hybrid Systems |
| title_full | Finite Time Stability of Stochastic Hybrid Systems |
| title_fullStr | Finite Time Stability of Stochastic Hybrid Systems |
| title_full_unstemmed | Finite Time Stability of Stochastic Hybrid Systems |
| title_short | Finite Time Stability of Stochastic Hybrid Systems |
| title_sort | finite time stability of stochastic hybrid systems |
| url | http://dx.doi.org/10.1155/2014/867189 |
| work_keys_str_mv | AT yingyang finitetimestabilityofstochastichybridsystems AT guopeichen finitetimestabilityofstochastichybridsystems |