Lyapunov stability of singular discrete time-varying systems

被引：0

作者：

Inst. of System Sciences, Northeastern Univ., Shenyang 110004, China ^{[1
]}

不详 ^{[2
]}

机构：

来源：

Xi Tong Cheng Yu Dian Zi Ji Shu/Syst Eng Electron | 2007年 / 8卷 / 1342-1345期

关键词：

Asymptotic stability - Control system stability - Lyapunov functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The necessary and sufficient condition is obtained for causality and asymptotic stability of singular discrete time-varying systems by establishing Lyapunov equation. Following, the stability of the systems is studied via Lyapunov inequality. At the same time, the other necessary and sufficient condition is obtained for causality and asymptotic stability of the systems. This method makes more convenient to prove the stability of systems. Finally the detailed steps of the above method are given and some examples are given to illustrate the correctness of the obtained results.

引用

共 50 条

[1] Robust stability for uncertain discrete singular systems with time-varying delays
Wu, Z.
Su, H.
Chu, J.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2009, 223 (I5) : 713 - 720
[2] LYAPUNOV STABILITY FOR TIME-VARYING POPULATION SYSTEMS
CHEN, RZ
GAO, H
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1990, 33 (08): : 909 - 919
[3] On the Lyapunov exponents of triangular discrete time-varying systems
Czornik, Adam
Doan, Thai Son
MATHEMATISCHE NACHRICHTEN, 2025, 298 (03) : 976 - 997
[4] Finite-time stability of uncertain singular systems based on time-varying Lyapunov function
Meng, Mei
Sun, Yuangong
2022 22ND INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2022), 2022, : 1348 - 1353
[5] Analysis of robust stability for uncertain discrete singular systems with time-varying delay
Mao, W. (wjmao@iipc.zju.edu.cn), 1600, Southeast University, 2 Sipailou, Nanjing, 210096, China (42):
[6] ON THE CONSTRUCTION OF LYAPUNOV'S FUNCTION FOR TIME-VARYING DISCRETE SYSTEMS AND APPLICATIONS IN STABILITY.
Liu, Yongqing
Tang, Gongyou
Advances in modelling & simulation, 1988, 11 (01): : 43 - 54
[7] LYAPUNOV'S STABILITY FOR TIME-VARYING POPULATION SYSTEMS
陈任昭
高夯
Science China Mathematics, 1990, (08) : 909 - 919
[8] Assignability of Lyapunov Spectrum for Discrete Linear Time-Varying Systems
Babiarz, Artur
Banshchikova, Irina
Czornik, Adam
Makarov, Evgenii
Niezabitowski, Michal
Popova, Svetlana
DIFFERENCE EQUATIONS AND DISCRETE DYNAMICAL SYSTEMS WITH APPLICATIONS, ICDEA 2018, 2020, 312 : 133 - 147
[9] LYAPUNOV FUNCTION CONSTRUCTION FOR A CLASS OF DISCRETE TIME-VARYING SYSTEMS
MOORE, JB
SUN, KC
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1969, AC14 (05) : 595 - +
[10] Stability and stabilization of discrete-time singular Markov jump systems with time-varying delay
Ma, Shuping
Boukas, El-Kebir
Chinniah, Y.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (05) : 531 - 543

← 1 2 3 4 5 →