Robust stability for a class of uncertain discrete singular systems with time-delay

2011 ◽  
Author(s):  
Guannan He ◽  
Jing Ji
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Singular Systems ◽  
Discrete Singular Systems

Robust stability for uncertain discrete singular systems with time-varying delays

2009 ◽  
Vol 223 (5) ◽  
pp. 713-720 ◽  
Author(s):  
Z Wu ◽  
H Su ◽  
J Chu
Keyword(s):  
Time Delay ◽  
Lyapunov Function ◽  
Robust Stability ◽  
Singular Systems ◽  
Time Varying ◽  
Numerical Example ◽  
Delay Bounds ◽  
Cross Terms ◽  
Discrete Singular Systems ◽  
Delay Dependent

This paper is concerned with the problem of delay-dependent robust stability for uncertain discrete singular systems with time-varying delays. Without introducing the free-weighting matrices to deal with the cross terms, a new and improved delay-dependent condition is established for the nominal systems to be regular, causal, and stable via a new Lyapunov function employing the integrated lower and upper time-delay bounds. The condition is also extended to the uncertain case. A numerical example is given to illustrate that the proposed methods are effective and lead to less conservatism than the existing ones.

Sliding Mode Variable Structure Control Design for a Kind of Nonlinear Discrete Singular Uncertain Systems with Time-Delay

2011 ◽  
Vol 383-390 ◽  
pp. 5803-5809 ◽  
Author(s):  
Yong Xu Wang ◽  
Cai Hong Zhang ◽  
Cun Che Gao
Keyword(s):  
Time Delay ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Singular Systems ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Structure Control ◽  
Discrete Singular Systems ◽  
Interval Coefficients ◽  
Sliding Mode Variable Structure

In this paper, the quasi-sliding mode variable structure control problem for interval coefficients nonlinear discrete singular uncertain systems with time-delay is researched, and it can be decomposed to two lower dimension systems with ordinary coefficients. According to some results on robust stability of discrete singular systems with time-delay, the quasi-switching manifold with difference compensator are designed, then with the quasi-sliding mode variable structure control law, the system comes to stability. At last, the feasibility and effectiveness of the results are explained by a numerical example.

Robust stability of discrete singular systems with delayed state

2008 ◽  
Vol 31 (1) ◽  
pp. 149-155 ◽  
Author(s):  
Yau‐Tarng Juang ◽  
Chih‐Peng Huang ◽  
Hui‐Ling Lin
Keyword(s):  
Robust Stability ◽  
Singular Systems ◽  
Discrete Singular Systems
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