Mathematics in Science and Engineering, Volume 24Academic Press, 1966 - Engineering mathematics |
Contents
Introduction | 3 |
DelayDifferential Equations | 9 |
Nonlinear DelayDifferential Equations | 113 |
Copyright | |
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absolutely continuous admissible pair Akad analytic assume bang-bang control Bellman bounded C(Tº compact set compact subset components Consider continuous function continuously differentiable control systems converges convex set corresponding defined Definition denote differential equations Dokl equation x(t exists finite formula functional V(t h₁ Hence I(to inequality initial condition x(t initial function interval I[to kernel matrices Lebesgue Lebesgue integrable Lebesgue measure Lemma Let x(t Lipschitzian with respect Math matrix measurable function n-dimensional Nonlinear optimal control optimal pair optimal problem parameter positive number Prikl Proof retarded argument right-hand side satisfies the initial second kind Section sequence solution x(t space stability support hyperplane Suppose system X t₁ t₂ tel[a tel[to Theorem theory trajectory uniformly unique uº(t vector function x(t₁ ατ