New p-th Moment Exponential Stability Criteria for FCNNs with Time-Varying Delays and Stochastic Effects

2020 ◽  
Vol 29 (2) ◽  
Author(s):  
Hongmei Bao
Keyword(s):  
Exponential Stability ◽  
Time Varying ◽  
Stability Criteria ◽  
Stochastic Effects ◽  
Moment Exponential Stability

scholarly journals pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying Delays

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Zhong Zhang ◽  
Lixia Ye
Keyword(s):  
Exponential Stability ◽  
Pulse Width ◽  
Time Varying ◽  
Stability Criteria ◽  
Feedback Systems ◽  
Pulse Width Modulated ◽  
Globally Exponential Stability ◽  
Pth Moment Exponential Stability ◽  
Moment Exponential Stability ◽  
Theoretical Results

This paper further studies thepth moment exponential stability of stochastic pulse-width-modulated (PWM) feedback systems with distributed time-varying delays. We establish several globally exponential stability criteria for such PWM feedback systems by using Lyapunov-Krasovskii functional and then present an upper bound of the parameter of PWM when the system is stable and such system has stronger anti-interference performance than the system without time-varying delays. Furthermore, we present two examples to show the effectiveness and conservativeness of the theoretical results.

scholarly journals On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-23
Author(s):  
Xinghua Liu ◽  
Hongsheng Xi
Keyword(s):  
Exponential Stability ◽  
Lyapunov Stability Theory ◽  
Markovian Jump Systems ◽  
Time Varying ◽  
Transition Rates ◽  
Stability Criteria ◽  
Markovian Jump ◽  
Rate Dependent ◽  
Partially Known Transition Rates ◽  
Jump Systems

The exponential stability of neutral Markovian jump systems with interval mode-dependent time-varying delays, nonlinear perturbations, and partially known transition rates is investigated. A novel augmented stochastic Lyapunov functional is constructed, which employs the improved bounding technique and contains triple-integral terms to reduce conservativeness; then the delay-range-dependent and rate-dependent exponential stability criteria are developed by Lyapunov stability theory, reciprocally convex lemma, and free-weighting matrices. The corresponding results are extended to the uncertain case. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.

scholarly journals New Delay-Dependent Exponential Stability Criteria for Neural Networks with Mixed Time-Varying Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-16
Author(s):  
Wu Wen ◽  
Kaibo Shi
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Linear Matrix ◽  
Optimization Approach ◽  
Time Varying ◽  
Stability Criteria ◽  
Decision Variables ◽  
Mathematical Techniques ◽  
Delay Dependent ◽  
The Relationship

This study is concerned with the problem of new delay-dependent exponential stability criteria for neural networks (NNs) with mixed time-varying delays via introducing a novel integral inequality approach. Specifically, first, by taking fully the relationship between the terms in the Leibniz-Newton formula into account, several improved delay-dependent exponential stability criteria are obtained in terms of linear matrix inequalities (LMIs). Second, together with some effective mathematical techniques and a convex optimization approach, less conservative conditions are derived by constructing an appropriate Lyapunov-Krasovskii functional (LKF). Third, the proposed methods include the least numbers of decision variables while keeping the validity of the obtained results. Finally, three numerical examples with simulations are presented to illustrate the validity and advantages of the theoretical results.

New stability criteria for stochastic perturbed singular systems in mean square

2021 ◽  
Author(s):  
Thomas Caraballo ◽  
Faten Ezzine ◽  
Mohamed ali Hammami
Keyword(s):  
Exponential Stability ◽  
Singular Systems ◽  
Time Varying ◽  
Mean Square ◽  
Stability Criteria ◽  
Uniform Exponential Stability ◽  
Lyapunov Techniques ◽  
Stability And Stabilization ◽  
Stochastic Singular Systems ◽  
Stability In Mean Square

Abstract In this paper, we investigate the problem of stability of time-varying stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial con- ditions are consistent. Sucient conditions on uniform exponential stability and practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems are obtained based upon Lyapunov techniques. Furthermore, we study the prob- lem of stability and stabilization of some classes of stochastic singular systems. Eventually, we provide a numerical example to validate the e ectiveness of the abstract results of this paper.

Sign in / Sign up

Export Citation Format

Share Document