IEEE Transactions on Automatic Control · 2002 · 100 citations · 10 references
Natural SciencesMathematicsDynamical SystemsReal-time SystemsSystem DynamicsContinuous Dynamical SystemsControl Of Dynamical SystemsControl SystemsControl TheoryFeedback ControlStability TheoryDelay-dependent StabilityDelay-dependent Stability AnalysisDelay-dependent Stability CriteriaDelay-induced Stability AnalysisNeutral Delay SystemsOperator InequalitiesPassivity TheoryTime-delay Systems
Sufficient conditions for passivity (positive realness) are obtained for continuous-time, linear, retarded, and neutral-type systems. A delay-dependent solution is given in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying Park's inequality for bounding cross terms. A memoryless state-feedback solution is derived. Numerical examples are given which illustrate the effectiveness of the new theory.
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