scholarly journals A Stability Condition with Delay-Dependence for a Class of Switched Large-Scale Time-Delay Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Chi-Jo Wang ◽  
Juing-Shian Chiou
Keyword(s):  
Time Delay ◽  
Large Scale ◽  
Stability Margin ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Switching Law ◽  
Delay Dependence ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Total Activation

By using the time-switched method and the comparison theorem, we derived a criterion of delay-dependent stability for the switched large-scale time-delay systems. To guarantee the exponential stability for the switched large-scale time-delay systems with stability marginλ, the total activation time ratio of the switching law is determined. An example is used to illustrate the effectiveness of our result.

Robust Stability Analysis of Delay-Dependence for a Class of Switched Uncertain Systems with Time Delay

2013 ◽  
Vol 415 ◽  
pp. 139-142
Author(s):  
Chi Jo Wang ◽  
Juing Shian Chiou
Keyword(s):  
Time Delay ◽  
Stability Margin ◽  
Uncertain System ◽  
Switching Law ◽  
Delay Dependence ◽  
Robust Stability Analysis ◽  
Exponentially Stable ◽  
Delay Dependent ◽  
Interval Systems ◽  
Delay Dependent Stability

Some new criteria of delay-dependent stability for the switched time-delay uncertain system are deduced by employing time-switched method and the comparison theorem in this paper. The total activation time ratio of the switching law can be determined to guarantee the switched time-delay uncertain system is exponentially stable with stability margin . Finally, this method can be extended to switched interval systems with time-delay. Some examples are exploited to illustrate the proposed schemes..

scholarly journals Delay dependent stability of linear time-delay systems

2013 ◽  
Vol 40 (2) ◽  
pp. 223-245 ◽  
Author(s):  
Sreten Stojanovic ◽  
Dragutin Debeljkovic
Keyword(s):  
Time Delay ◽  
Large Scale ◽  
Linear Time ◽  
Direct Method ◽  
Sufficient Conditions ◽  
Lyapunov Equation ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper deals with the problem of delay dependent stability for both ordinary and large-scale time-delay systems. Some necessary and sufficient conditions for delay-dependent asymptotic stability of continuous and discrete linear time-delay systems are derived. These results have been extended to the large-scale time-delay systems covering the cases of two and multiple existing subsystems. The delay-dependent criteria are derived by Lyapunov's direct method and are exclusively based on the solvents of particular matrix equation and Lyapunov equation for non-delay systems. Obtained stability conditions do not possess conservatism. Numerical examples have been worked out to show the applicability of results derived.

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