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.

Stability and L2–Gain analysis of linear switched singular systems by using multiple discontinuous Lyapunov function approach

2019 ◽  
Vol 41 (15) ◽  
pp. 4197-4206 ◽  
Author(s):  
Jumei Wei ◽  
Huimin Zhi ◽  
Kai Liu
Keyword(s):  
Lyapunov Function ◽  
Exponential Stability ◽  
Discrete Time ◽  
Text Analysis ◽  
Dwell Time ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Function Approach ◽  
Discrete Time Case

In this paper, the problem of the E-exponential stability and [Formula: see text] analysis of linear switched singular systems is investigated in discrete-time case. By using a multiple discontinuous Lyapunov function approach and adopting the mode-dependent average dwell time (MDADT) switching signals, new sufficient conditions of E-exponential stability and [Formula: see text] analysis for linear switched singular systems are presented. Based on the above results, we also derive the weighted [Formula: see text] performance index. In addition, by utilizing our proposed method, tighter bounds on average dwell time can be obtained for our considered systems. At last, a numerical example is given to show the effectiveness of the results.

scholarly journals Exponential Stability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays via an Average Dwell-Time Method

2012 ◽  
Vol 2012 ◽  
pp. 1-18
Author(s):  
N. Yotha ◽  
T. Botmart ◽  
T. Mouktonglang
Keyword(s):  
Nonlinear Systems ◽  
Exponential Stability ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Fast Time ◽  
Time Varying ◽  
Switched Nonlinear Systems ◽  
Time Varying Delay ◽  
Unstable Subsystems

The problem of exponential stability for a class of switched nonlinear systems with discrete and distributed time-varying delays is studied. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function. We study the stability properties of switched nonlinear systems consisting of both stable and unstable subsystems. Average dwell-time approached and improved piecewise Lyapunov functional combined with Leibniz-Newton are formulated. New delay-dependent sufficient conditions for the exponential stabilization of the switched systems are first established in terms of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method.

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 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.

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