Delay-Dependent Stability Criteria for Time-Delayed Systems

2013 ◽  
Vol 313-314 ◽  
pp. 1184-1187
Author(s):  
Chang Hui Song
Keyword(s):  
Sufficient Conditions ◽  
Functional Method ◽  
Stability Conditions ◽  
Quadratic Term ◽  
Asymptotically Stable ◽  
Stability Criteria ◽  
Delayed Systems ◽  
Numerical Examples ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper drivesthe asymptotical stability conditions for a class of linear systems with time delay.First, aseries of integral inequalities based on quadratic term are formulated bycombining Leibniz-Newton formula. Next, basedon Lyapunov-Krasovskii functional method and linearmatrix inequality, the sufficient conditions of delay-dependent stability are derived toensure thelinear systemswith timedelay are asymptotically stable. Last,the results are illustrated by some numerical examples andthe delay bounds obtained in this paper are of less conservative.

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 Delay-Dividing Approach for Stability of Neutral System with Mixed Delays

2012 ◽  
Vol 468-471 ◽  
pp. 405-408
Author(s):  
Fang Qiu ◽  
Quan Xin Zhang
Keyword(s):  
Stability Problem ◽  
Lyapunov Functional ◽  
Mixed Delays ◽  
Neutral System ◽  
Stability Criteria ◽  
Numerical Examples ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper studies the stability problem for the neutral system with mixed delays. By constructing a novel Lyapunov functional based on a delay-dividing approach, some delay-dependent stability criteria are derived to guarantee the stability of the neutral system. It is established theoretically that the criteria are less conservative than recent reported ones. Two numerical examples are demonstrated to illustrate the effectiveness of the proposed results.

scholarly journals Delay-Dependent Robust Exponential Stability andH∞Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Jianwei Xia
Keyword(s):  
Performance Analysis ◽  
Exponential Stability ◽  
Multiple Delays ◽  
Stability Criteria ◽  
Markovian Jumping ◽  
Robust Exponential Stability ◽  
Numerical Examples ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Reciprocally Convex Approach

This paper deals with the problem of robust exponential stability andH∞performance analysis for a class of uncertain Markovian jumping system with multiple delays. Based on the reciprocally convex approach, some novel delay-dependent stability criteria for the addressed system are derived. At last, numerical examples is given presented to show the effectiveness of the proposed results.

On delay-dependent stability conditions

2000 ◽  
Vol 40 (1) ◽  
pp. 71-76 ◽  
Author(s):  
Vladimir L. Kharitonov ◽  
Daniel Melchor-Aguilar
Keyword(s):  
Stability Conditions ◽  
Delay Dependent ◽  
Delay Dependent Stability

scholarly journals Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Xuling Wang ◽  
Xiaodi Li ◽  
Gani Tr. Stamov
Keyword(s):  
Control Systems ◽  
Impulsive Control ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Stability Criteria ◽  
Numerical Examples ◽  
Infinite Delays ◽  
Impulsive Control Systems ◽  
Stable Matrix ◽  
Theoretical Results

This paper studies impulsive control systems with finite and infinite delays. Several stability criteria are established by employing the largest and smallest eigenvalue of matrix. Our sufficient conditions are less restrictive than the ones in the earlier literature. Moreover, it is shown that by using impulsive control, the delay systems can be stabilized even if it contains no stable matrix. Finally, some numerical examples are discussed to illustrate the theoretical results.

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