IEEE Transactions on Automatic Control · 2016 · 30 citations · 15 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsSystem DynamicsControl Of Dynamical SystemsControl TheoryNonlinear ControlStabilityStability TheoryDelay SystemsDelay-dependent Stability CriteriaExponential StabilityLyapunov ControlLyapunov FunctionsStability ConditionsStability CriterionTime-delay Systems
Necessary conditions for the exponential stability of time-delay systems of neutral type, and a new stability criterion for the scalar case are presented in this contribution. They are obtained in the framework of Lyapunov-Krasovskii functionals of complete type. The particularity of these conditions is that they depend exclusively on the delay Lyapunov matrix.
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On delay-dependent stability for linear neutral systems
Dan Ivănescu, Silviu‐Iulian Niculescu, Luc Dugard et al. · Automatica · 2003 · 120 citations