scholarly journals LMI Stability Criterion for Uncertain Systems with Multiple Time Delays

2003 ◽  
Vol 46 (3) ◽  
pp. 1108-1111
Author(s):  
Chang-Hua LIEN ◽  
Jenq Der CHEN ◽  
Ker-Wei YU
Keyword(s):  
Stability Criterion ◽  
Time Delays ◽  
Uncertain Systems ◽  
Multiple Time ◽  
Multiple Time Delays

scholarly journals Stability and stabilizability of dynamical systems with multiple time-varying delays: delay-dependent criteria

2003 ◽  
Vol 2003 (4) ◽  
pp. 137-152 ◽  
Author(s):  
D. Mehdi ◽  
E. K. Boukas
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
The Stability ◽  
Delay Dependent ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm-bounded uncertainties are considered. Linear matrix inequality (LMIs) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established to check if a system of this class is stable and/or is stabilizable. Some numerical examples are provided to show the usefulness of the proposed results.

Exponential Stability for Continuous-Time Singular Systems With Multiple Time Delays

2003 ◽  
Vol 125 (2) ◽  
pp. 262-264 ◽  
Author(s):  
Yeong-Jeu Sun
Keyword(s):  
Convergence Rate ◽  
Exponential Stability ◽  
Stability Criterion ◽  
Continuous Time ◽  
Time Delays ◽  
Global Exponential Stability ◽  
Singular Systems ◽  
Multiple Time ◽  
Numerical Example ◽  
Multiple Time Delays

In this paper, the global exponential stability for a class of singular systems with multiple time delays is investigated. Simple stability criterion is derived to guarantee the global exponential stability of such systems. Moreover, an estimate of the convergence rate of such stable systems is presented. A numerical example is also provided to illustrate the main result.

Simple criteria for sector root clustering of uncertain systems with multiple time delays

2009 ◽  
Vol 39 (1) ◽  
pp. 65-71 ◽  
Author(s):  
Yeong-Jeu Sun ◽  
Ruey-Shyan Gau ◽  
Jer-Guang Hsieh
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Multiple Time ◽  
Multiple Time Delays
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