scholarly journals Delay-dependent stability and stabilization criteria for T–S fuzzy singular systems with interval time-varying delay by improved delay partitioning approach

SpringerPlus ◽  
2016 ◽  
Vol 5 (1) ◽  
Author(s):  
Chao Sun ◽  
Fuli Wang ◽  
Xiqin He
Keyword(s):  
Singular Systems ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Stability And Stabilization ◽  
Delay Dependent ◽  
Delay Partitioning ◽  
Delay Dependent Stability ◽  
Varying Delay

scholarly journals A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Jianmin Jiao ◽  
Rui Zhang
Keyword(s):  
Singular Systems ◽  
Time Varying ◽  
Decomposition Approach ◽  
Interval Time ◽  
Time Varying Delay ◽  
Delay Decomposition Approach ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper investigates delay-dependent stability problem for singular systems with interval time-varying delay. An appropriate Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple equidistant subintervals, where both the information of every subinterval and time-varying delay have been taken into account. Employing the Lyapunov-Krasovskii functional, improved delay-dependent stability criteria for the considered systems to be regular, impulse-free, and stable are established. Finally, two numerical examples are presented to show the effectiveness and less conservativeness of the proposed method.

scholarly journals Delay-Dependent Stability Criteria for Singular Systems with Interval Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Jianmin Jiao
Keyword(s):  
Singular Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Stability Criteria ◽  
Interval Time ◽  
Time Varying Delay ◽  
Decision Variables ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper is concerned with stability analysis for singular systems with interval time-varying delay. By constructing a novel Lyapunov functional combined with reciprocally convex approach and linear matrix inequality (LMI) technique, improved delay-dependent stability criteria for the considered systems to be regular, impulse free, and stable are established. The developed results have advantages over some previous ones as they involve fewer decision variables yet less conservatism. Numerical examples are provided to demonstrate the effectiveness of the proposed stability results.

On Improved Delay-Range-Dependent Stability Criteria for Linear Systems with Interval Time-Varying Delay

2013 ◽  
Vol 427-429 ◽  
pp. 1306-1310
Author(s):  
Jun Jun Hui ◽  
He Xin Zhang ◽  
Fei Meng ◽  
Xin Zhou
Keyword(s):  
Functional Method ◽  
Linear Matrix ◽  
Time Varying ◽  
Stability Criteria ◽  
Interval Time ◽  
Time Varying Delay ◽  
Weighting Matrix ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

In this paper, we consider the problem of robust delay-dependent stability for a class of linear uncertain systems with interval time-varying delay. By using the directly Lyapunov-Krasovskii (L-K) functional method, integral inequality approach and the free weighting matrix technique, new less conservative stability criteria for the system is formulated in terms of linear matrix inequalities .Numerical examples are given to show the effectiveness of the proposed approach.

A New Approach on Stability for Linear Systems with Interval Time-Varying Delay

2013 ◽  
Vol 380-384 ◽  
pp. 1774-1777
Author(s):  
He Li ◽  
Zhao Di Xu ◽  
Chang Liu
Keyword(s):  
Linear Systems ◽  
Lyapunov Stability Theory ◽  
Time Varying ◽  
Decomposition Approach ◽  
Interval Time ◽  
Time Varying Delay ◽  
Delay Decomposition Approach ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper addresses the problem of stability for linear systems with interval time-varying delay. By using an optimized delay-decomposition approach and being based on Lyapunov stability theory and reciprocally convex lemma, we can get the delay-dependent stability criterion which can lead to much less conservative stability results compared to other methods for linear systems with time delay. A numerical example is given to show the effectiveness of the proposed criteria.

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