Finite-region stability of 2-D singular Roesser systems with directional delays
In this paper, the problem of finite-region stability is studied for a class of two-dimensional (2-D) singular systems described by using the Roesser model with directional delays. Based on the regularity, we first decompose the underlying singular 2-D systems into fast and slow subsystems correspo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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HUJOS
2021-12-01
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| Series: | Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên |
| Subjects: | |
| Online Access: | http://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/6283 |
| Summary: | In this paper, the problem of finite-region stability is studied for a class of two-dimensional (2-D) singular systems described by using the Roesser model with directional delays. Based on the regularity, we first decompose the underlying singular 2-D systems into fast and slow subsystems corresponding to dynamic and algebraic parts. Then, with the Lyapunov-like 2-D functional method, we construct a weighted 2-D functional candidate and utilize zero-type free matrix equations to derive delay-dependent stability conditions in terms of linear matrix inequalities (LMIs). More specifically, the derived conditions ensure that all state trajectories of the system do not exceed a prescribed threshold over a pre-specified finite region of time for any initial state sequences when energy-norms of dynamic parts do not exceed given bounds.
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| ISSN: | 1859-1388 2615-9678 |