New delay-dependent robust exponential stability for uncertain stochastic systems with multiple delays based on extended reciprocally convex approach

2015 ◽  
Vol 33 (3) ◽  
pp. 773-789 ◽  
Author(s):  
Jianwei Xia ◽  
Ju H. Park ◽  
Hongbing Zeng
Keyword(s):  
Exponential Stability ◽  
Stochastic Systems ◽  
Multiple Delays ◽  
Robust Exponential Stability ◽  
Delay Dependent ◽  
Reciprocally Convex Approach

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.

scholarly journals Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Weihua Mao ◽  
Feiqi Deng ◽  
Anhua Wan
Keyword(s):  
Exponential Stability ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Mean Square ◽  
Robust Exponential Stability ◽  
Interval Time ◽  
Time Varying Delay ◽  
Mean Square Exponential Stability ◽  
Delay Dependent

This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities (LMIs). By free-weight matrices method, the usual restriction that the stability conditions only bear slow-varying derivative of the delay is removed. Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.

ROBUST EXPONENTIAL STABILITY OF STOCHASTIC TIME-DELAY SYSTEMS WITH UNCERTAINTIES AND NONLINEAR PERTURBATIONS

2009 ◽  
Vol 06 (01) ◽  
pp. 61-71 ◽  
Author(s):  
HUAICHENG YAN ◽  
MAX Q.-H. MENG ◽  
XINHAN HUANG ◽  
HAO ZHANG
Keyword(s):  
Exponential Stability ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Linear Matrix ◽  
Mean Square ◽  
Nonlinear Perturbations ◽  
Robust Exponential Stability ◽  
Mean Square Stability ◽  
Delay Dependent

In this paper, the delay-dependent robust exponential mean-square stability analysis problem is considered for a class of uncertain stochastic systems with time-varying delay and nonlinear perturbations. Some sufficient conditions on delay-dependent robust exponential stability in the mean square are established in terms of linear matrix inequalities (LMIs) by exploiting a novel Lyapunov–Krasovskii functional and by making use of zero equations methods. These developed results indicate less conservatism than the existing ones due to the introduction of some free weighting matrices which can be selected properly. The new delay-dependent stability criteria are expressed as a set of LMIs, which can be readily solved by using standard numerical software. Numerical examples are provided to demonstrate the effectiveness and the applicability of the proposed criteria.

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