Control of Distributed Singular Systems" ... the purpose of this book is to describe and analyse (and to some extent generalise) the principal results, scattered in the literature, concerning perturbation methods in optimal control for systems that are governed by deterministic or stochastic differential equations."--Preface. |
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PARABOLIC EXPLOSIVE SYSTEMS | 11 |
5 | 11 |
VARIOUS REMARKS | 14 |
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3y²p admissible pairs analogous assume assumption Banach space boundary conditions bounded set Cauchy problem Chapter closed convex set compact control-state cost function deduce defined denoted dxdt exist optimal pairs existence of optimal exists a triplet fact finite follows given going to prove Green's formula hence infJ(v,z introduce J.L. LIONS L² Q L²(n L6 Q Lemma linear Method of Approach minimizing sequence Multiplying non-empty closed convex obtain open set optimal control optimal pair u,y p+Nu pair v,z penalised priori estimates Proof of Theorem reductio ad absurdum regular Remark resp result satisfies Section set of admissible Singular Optimality System space strong L²(Q Subsection Theorem Theorem 2.1 triplet u,y,p unique solution whence ΔΖ ΔΦ ε ε ар аф дг др дре ду Ре Ус