D-stability bound analysis for discrete multiparameter singularly perturbed systems

1997 ◽  
Vol 44 (4) ◽  
pp. 347-351 ◽  
Author(s):  
Feng-Hsiag Hsiao ◽  
Shing-Tai Pan ◽  
Ching-Cheng Teng
Keyword(s):  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Stability Bound ◽  
Perturbed Systems ◽  
Bound Analysis

scholarly journals Stability bound analysis of singularly perturbed systems with time-delay

2013 ◽  
Vol 19 (4) ◽  
pp. 505-511 ◽  
Author(s):  
Fengqi Sun ◽  
Chunyu Yang ◽  
Qingling Zhang ◽  
Yongxiang Shen
Keyword(s):  
Time Delay ◽  
Singularly Perturbed ◽  
Stability Criteria ◽  
Singularly Perturbed Systems ◽  
Numerical Examples ◽  
Stability Bound ◽  
Perturbed Systems ◽  
The Stability ◽  
Bound Analysis

This paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals. The proposed criteria are less conservative than the existing ones. Two numerical examples are given to illustrate the advantages and effectiveness of the proposed methods.

scholarly journals Stability Bound Analysis and Synthesis for Singularly Perturbed Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Fengqi Sun ◽  
Linna Zhou ◽  
Qingling Zhang ◽  
Yongxiang Shen
Keyword(s):  
Computational Cost ◽  
Singularly Perturbed ◽  
Time Varying ◽  
Singularly Perturbed Systems ◽  
Time Varying Delay ◽  
Stability Bound ◽  
Perturbed Systems ◽  
Analysis And Synthesis ◽  
Varying Delay ◽  
Bound Analysis

This paper addresses the problems of stability bound analysis and synthesis for singularly perturbed systems with time-varying delay. First, by constructing an appropriate Lyapunov-Krasovskii functional, a sufficient condition is derived for the system to be stable when the singular perturbation parameter is lower than a predefined upper bound which is referred to as the stability bound of the singularly perturbed system. The proposed criterion needs less computational cost than the existing ones. Then, a state feedback controller design method is proposed to achieve a prescribed stability bound, which can be applied to both standard and nonstandard singularly perturbed systems with time-varying delay. Finally, the effectiveness and merits of the proposed approach are shown through numerical examples.

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