Delay-dependent exponential stability analysis of non-linear switched singular systems with average dwell time approach

Complexity ◽  
2014 ◽  
Vol 21 (4) ◽  
pp. 63-78 ◽  
Author(s):  
A. Manivannan ◽  
S. Muralisankar
Keyword(s):  
Stability Analysis ◽  
Exponential Stability ◽  
Dwell Time ◽  
Singular Systems ◽  
Average Dwell Time ◽  
Non Linear ◽  
Delay Dependent

scholarly journals Delay-Dependent Stability Analysis for Uncertain Switched Time-Delay Systems Using Average Dwell Time

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Yangming Zhang ◽  
Peng Yan
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Exponential Stability ◽  
Switched Systems ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Delay System ◽  
Delay Systems ◽  
Linear Matrix ◽  
Delay Dependent

We are concerned with the stability problem for linear discrete-time switched systems with time delays. The problem is solved by using multiple Lyapunov functions to develop constructive tools for the exponential stability analysis of the switched time-delay system. Furthermore, the uncertainties of the switched systems are also taken into consideration. Sufficient delay-dependent conditions are derived in terms of the average dwell time for the exponential stability based on linear matrix inequalities (LMIs). Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.

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.

On stability for discrete-time non-linear singular systems with switching actuators via average dwell time approach

2016 ◽  
Vol 39 (12) ◽  
pp. 1771-1776 ◽  
Author(s):  
Yunlong Liu ◽  
Juan Wang ◽  
Cunchen Gao ◽  
Zairui Gao ◽  
Xiaojin Wu
Keyword(s):  
Discrete Time ◽  
Dwell Time ◽  
Closed Loop ◽  
Singular Systems ◽  
Average Dwell Time ◽  
Discrete Time Systems ◽  
Non Linear ◽  
The Stability ◽  
Relationship Of ◽  
Time Systems

This paper aims to study stability for discrete-time non-linear singular systems with switching actuators. A sufficient condition is addressed to ensure that non-linear closed-loop singular systems are input-to-state stable via average dwell time approach and the iterative relationship of discrete-time systems. In the stability criterion, we neither construct a certain Lyapunov function, nor design the specific structure of the control inputs. It is much easier to design each sub-controller of switching actuators via the proposed condition. Finally, a numerical example is provided to demonstrate the feasibility and effectiveness of the results obtained.

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 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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