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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
HUJOS
2021-12-01
|
| 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 |
| _version_ | 1828487791767453696 |
|---|---|
| author | Huy Vu Le Anh Tuan Le |
| author_facet | Huy Vu Le Anh Tuan Le |
| author_sort | Huy Vu Le |
| collection | DOAJ |
| description |
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.
|
| first_indexed | 2024-12-11T09:57:12Z |
| format | Article |
| id | doaj.art-9993b15856654e33984128c32438f9af |
| institution | Directory Open Access Journal |
| issn | 1859-1388 2615-9678 |
| language | English |
| last_indexed | 2024-12-11T09:57:12Z |
| publishDate | 2021-12-01 |
| publisher | HUJOS |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên |
| spelling | doaj.art-9993b15856654e33984128c32438f9af2022-12-22T01:12:13ZengHUJOSTạp chí Khoa học Đại học Huế: Khoa học Tự nhiên1859-13882615-96782021-12-011301D10.26459/hueunijns.v130i1D.6283Finite-region stability of 2-D singular Roesser systems with directional delaysHuy Vu Le0Anh Tuan Le1Faculty of Natural Sciences, Hong Duc University, Thanh Hoa, VietnamFaculty of Mathematics, University of Sciences, Hue University, 77 Nguyen Hue St., Hue, Vietnam 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. http://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/6283Finite-region stability2-D singular systemsRoesser modellinear matrix inequalities |
| spellingShingle | Huy Vu Le Anh Tuan Le Finite-region stability of 2-D singular Roesser systems with directional delays Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên Finite-region stability 2-D singular systems Roesser model linear matrix inequalities |
| title | Finite-region stability of 2-D singular Roesser systems with directional delays |
| title_full | Finite-region stability of 2-D singular Roesser systems with directional delays |
| title_fullStr | Finite-region stability of 2-D singular Roesser systems with directional delays |
| title_full_unstemmed | Finite-region stability of 2-D singular Roesser systems with directional delays |
| title_short | Finite-region stability of 2-D singular Roesser systems with directional delays |
| title_sort | finite region stability of 2 d singular roesser systems with directional delays |
| topic | Finite-region stability 2-D singular systems Roesser model linear matrix inequalities |
| url | http://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/6283 |
| work_keys_str_mv | AT huyvule finiteregionstabilityof2dsingularroessersystemswithdirectionaldelays AT anhtuanle finiteregionstabilityof2dsingularroessersystemswithdirectionaldelays |