IEEE Transactions on Automatic Control · 2020 · 27 citations · 27 references
Natural SciencesMathematicsSystems EngineeringDifferential EquationsDynamical SystemsControl Of Dynamical SystemsControl TheoryStabilityStability TheoryTime Delay EffectsDelay SystemsExponential StabilityLinear Time-invariant SystemsLyapunov FunctionsLyapunov StabilityNeutral Delay SystemsStability CriterionTime-delay Systems
We present a new necessary and sufficient condition of exponential stability of neutral-type linear time invariant (LTI) systems with one delay. The new stability criterion is given in terms of a block matrix, which exclusively depends on the delay Lyapunov matrix and is of finite dimension.
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