SIAM Journal on Control and Optimization · 1981 · 184 citations · 14 references
Natural SciencesMathematicsSystems EngineeringDifferential EquationsDynamical SystemsSystem DynamicsControl Of Dynamical SystemsControl SystemsControl TheoryFeedback ControlTime Delay EffectsBounded OperatorsControl Of Differential SystemsDelay Differential SystemsDelay EquationsLinear Control SystemsLinear State-space SystemsState Delay Models
We show how a linear differential delay equation with delays in the control can be reformulated as an evolution equation with bounded input operator. As a simple application, we solve an infinite time quadratic cost control problem for the delay differential equation. We also point out how our results, even when specialized to the case where delays in the control disappear, extend results previously published in the literature.
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