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Delay-dependent stability and stabilization of uncertain discrete-time markovian jump singular systems with time delay
| Content Provider | Scilit |
|---|---|
| Author | Ma, Shuping Liu, Xinzhi Zhang, Chenghui |
| Copyright Year | 2007 |
| Description | This paper discusses robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delay-dependent linear matrix inequalities condition for time-delay discrete-time Markovian jump singular systems to be regular, causal and stochastically stable is established. With this condition, problems of robust stochastic stability and stabilization are solved, and delay-dependent linear matrix inequalities are obtained. A numerical example is also given to illustrate the effectiveness of this method.2000Mathematics subject classification: primary 39A12; secondary 93C55. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/219649B1788C7814AB668B5E341C67EB/S1446181100012712a.pdf/div-class-title-delay-dependent-stability-and-stabilization-of-uncertain-discrete-time-markovian-jump-singular-systems-with-time-delay-div.pdf |
| Ending Page | 129 |
| Page Count | 19 |
| Starting Page | 111 |
| ISSN | 14461811 |
| e-ISSN | 14468735 |
| DOI | 10.1017/s1446181100012712 |
| Journal | The ANZIAM Journal |
| Issue Number | 1 |
| Volume Number | 49 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2007-07-01 |
| Access Restriction | Open |
| Subject Keyword | The ANZIAM Journal Automotive Engineering Discrete Markovian Jump Singular System delay System Linear Matrix Inequality (lmi) Robust Stochastic Stability and Stabilization. |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |