scholarly journals New Exponential Stability Conditions of Switched BAM Neural Networks with Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yi Yang
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Stability Problem ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Stability Conditions ◽  
Bam Neural Networks ◽  
Average Dwell Time Method ◽  
Delay Dependent ◽  
First Time

The exponential stability problem is considered in this paper for discrete-time switched BAM neural networks with time delay. The average dwell time method is introduced to deal with the exponential stability analysis of the systems for the first time. By constructing a new switching-dependent Lyapunov-Krasovskii functional, some new delay-dependent criteria are developed, which guarantee the exponential stability. A numerical example is provided to demonstrate the potential and effectiveness of the proposed algorithms.

scholarly journals Robust Stability of Switched Delay Systems with Average Dwell Time under Asynchronous Switching

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Jun Cheng ◽  
Hong Zhu ◽  
Shouming Zhong ◽  
Yuping Zhang
Keyword(s):  
Exponential Stability ◽  
Robust Stability ◽  
Integral Inequality ◽  
Global Exponential Stability ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Delay Systems ◽  
Asynchronous Switching ◽  
Average Dwell Time Method

The problem of robust stability of switched delay systems with average dwell time under asynchronous switching is investigated. By taking advantage of the average dwell-time method and an integral inequality, two sufficient conditions are developed to guarantee the global exponential stability of the considered switched system. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed techniques.

scholarly journals Robust H ∞ Control for the Nonlinear Cascade Systems with Passive and Nonpassive Subsystems

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Hongpeng Zhao ◽  
Xingtao Wang
Keyword(s):  
Exponential Stability ◽  
Dwell Time ◽  
Design Method ◽  
Average Dwell Time ◽  
Disturbance Attenuation ◽  
Feedback Controllers ◽  
Cascade Systems ◽  
Attenuation Level ◽  
Average Dwell Time Method ◽  
Disturbance Attenuation Level

In this paper, H ∞ control for the uncertain switched nonlinear cascade systems with passive and nonpassive subsystems is investigated. Based on the average dwell time method, for any given passivity rate, average dwell time, and disturbance attenuation level, the feedback controllers of the subsystems by predetermined constants are designed to solve the exponential stability and L 2 -gain problems of H ∞ control for switched nonlinear cascade systems. Two examples are provided to demonstrate the effectiveness of the proposed design method.

scholarly journals Finite-Time Stability Analysis of Switched Genetic Regulatory Networks

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Lizi Yin
Keyword(s):  
Finite Time ◽  
Dwell Time ◽  
Regulatory Networks ◽  
Average Dwell Time ◽  
Genetic Regulatory Networks ◽  
Linear Matrix ◽  
Time Stability ◽  
Finite Time Stability ◽  
Average Dwell Time Method ◽  
First Time

This paper investigates the finite-time stability problem of switching genetic regulatory networks (GRNs) with interval time-varying delays and unbounded continuous distributed delays. Based on the piecewise Lyapunov-Krasovskii functional and the average dwell time method, some new finite-time stability criteria are obtained in the form of linear matrix inequalities (LMIs), which are easy to be confirmed by the Matlab toolbox. The finite-time stability is taken into account in switching genetic regulatory networks for the first time and the average dwell time of the switching signal is obtained. Two numerical examples are presented to illustrate the effectiveness of our results.

scholarly journals Delay-Dependent Exponential Stability for Discrete-Time BAM Neural Networks with Time-Varying Delays

2008 ◽  
Vol 2008 ◽  
pp. 1-14 ◽  
Author(s):  
Yonggang Chen ◽  
Weiping Bi ◽  
Yuanyuan Wu
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Discrete Time ◽  
Lyapunov Functional ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Bam Neural Networks ◽  
Delay Dependent ◽  
Slack Matrices

This paper considers the delay-dependent exponential stability for discrete-time BAM neural networks with time-varying delays. By constructing the new Lyapunov functional, the improved delay-dependent exponential stability criterion is derived in terms of linear matrix inequality (LMI). Moreover, in order to reduce the conservativeness, some slack matrices are introduced in this paper. Two numerical examples are presented to show the effectiveness and less conservativeness of the proposed method.

scholarly journals A UNIFIED APPROACH TO EXPONENTIAL STABILITY ANALYSIS FOR A GENERAL CLASS OF SWITCHED TIME-DELAY LINEAR SYSTEMS

2021 ◽  
Vol 37 (3) ◽  
pp. 339-350
Author(s):  
Nguyen Khoa Son ◽  
Ngoc Van Le
Keyword(s):  
Time Delay ◽  
Exponential Stability ◽  
Linear Systems ◽  
Dwell Time ◽  
Functional Differential Equations ◽  
Average Dwell Time ◽  
Unified Approach ◽  
Arbitrary Switching ◽  
Functional Differential ◽  
Delay Dependent

This paper proposes a unified approach to study global  exponential stability for  a class of switched time-delay linear  systems described by general linear functional differential equations. Several new delay-dependent criteria of exponential stability are established for this class of systems, under arbitrary switching which satisfies some assumptions on the minimum dwell time or the average dwell time. As particular cases, the obtained results are shown to include and improve many previously known results. An example is given to illustrate the proposed method.

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