Journal of Dynamic Systems Measurement and Control · 2003 · 76 citations · 17 references
Natural SciencesMathematicsDifferential EquationsDiscrete MathematicsDynamical SystemsControl TheoryStabilityStability TheoryTime Delay EffectsAsymptotic StabilityDelay-dependent StabilityDelay-dependent Stability CriteriaDiscrete DelaysDiscrete Time Delay SystemsDistributed Time DelaysSpectral RadiusTime-delay Systems
In this paper, the asymptotic stability for a class of neutral systems with discrete and distributed multiple time delays is considered. Discrete-delay-independent and discrete-delay-dependent criteria are proposed to guarantee stability for such systems. The resulting stability criteria are written in the form of spectral radius and linear matrix inequality (LMI). Some numerical examples are given to illustrate that our obtained results are less conservative.
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