IEEE Transactions on Automatic Control · 1994 · 59 citations · 9 references
EngineeringSystems EngineeringDynamical SystemsReal-time SystemsSystem DynamicsControl TheoryStabilityStability TheoryTime Delay EffectsAsymptotic StabilityDelay-dependent StabilityDelay-dependent Stability AnalysisDelay-dependent Stability CriteriaDelay-induced Stability AnalysisDelays In SystemsStability Analysis Of Linear SystemsTime-delay Systems
This paper presents asymptotic stability criteria for linear systems with time delay. The results not only improve previous results, but also provide a bound for the delay time such that if the system is asymptotically stable when the delay does not exist, it retains the asymptotic stability when the delay time is within the bound.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Stability of x(t)=Ax(t)+Bx(t- tau )
Tomoya Mori, H. Kokame · IEEE Transactions on Automatic Control · 1989 · 195 citations