ESAIM Control Optimisation and Calculus of Variations · 2009 · 96 citations · 19 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsControl Of Dynamical SystemsControl TheoryFeedback ControlNonlinear DynamicsStabilityStability TheoryDelay-dependent StabilityDelay-dependent Stability AnalysisDelay-dependent Stability CriteriaDelay-induced Stability AnalysisExponential StabilityNonlinear StabilitySecond-order Differential EquationsStabilization Theory
We consider abstract second order evolution equations with unbounded feedback with delay. Existence results are obtained under some realistic assumptions. Sufficient and explicit conditions are derived that guarantee the exponential or polynomial stability. Some new examples that enter into our abstract framework are presented.
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