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Control theory --- Mathematical optimization --- Nonlinear theories --- Nonlinear control theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Nonlinear control theory. --- Mathematical optimization.

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Convex analysis and variational problems

Functional analysis --- Mathematical optimization --- Convex functions --- Calculus of variations --- Mathematical optimization. --- Convex functions. --- Calculus of variations. --- 517 --- 517 Analysis --- Analysis --- Optimisation mathématique --- Fonctions convexes --- Calcul des variations --- ELSEVIER-B EPUB-LIV-FT --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Functions, Convex --- Functions of real variables --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis

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Mathematical control systems --- Numerical methods of optimisation --- Mathematical optimization --- Mathematical models --- Optimisation mathématique --- Modèles mathématiques --- Congresses --- Congrès --- 681.3*G16 --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Basic Sciences. Mathematics --- Mathematical Models, Simulation Models --- Mathematical Models, Simulation Models. --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Optimisation mathématique --- Modèles mathématiques --- Congrès --- Information theory. --- Computer science. --- Theory of Computation. --- Computer Science, general. --- Informatics --- Science --- Communication theory --- Communication --- Cybernetics --- Mathematical models. --- Mathematical optimization. --- Mathematical optimization - Congresses --- Mathematical models - Congresses --- Mathematical optimization techniques

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This book is based on lectures given in a one-quarter course at UCLA. The aim. is to present som.e of the basic concepts and techniques of Functional Analys.is of relevance to optim.ization problem.s in Control. Com.m.unication and other areas in System. Science. The students are expected to have had an introductory course in Hilbert Space theory. Som.e effort has been m.ade to be self-contained m.ainly in order that the vocabularly used can be clarified. A m.inim.al bibliography is appended. The author is indebted to Jiri Ruzicka and Jerom.e Mersky for help with proof-reading. Profes sor L. Berkovitz looked over and m.ade m.any helpful corn.rn.ents on parts of an early version. Thanks are also due to Trudy Cook for typing the m.anuscript. Grateful acknowledgem.ent is also m.ade of partial support under AFOSR Grant No. 68-1408, Applied Mathem.atics Division, United Stat s Air Force.

Mathematical control systems --- Analytical spaces --- Probability theory --- 681.3*G16 --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Business & Economics --- Economic Theory --- Hilbert space. --- Mathematical optimization. --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Hilbert space --- Mathematical optimization --- Espace de Hilbert --- Optimisation mathématique --- Functional analysis --- Analyse fonctionnelle --- 517.98 --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Banach spaces --- Hyperspace --- Inner product spaces --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- Functional analysis. --- Programmation (mathématiques)

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Numerical analysis --- Mathematical optimization --- Data processing --- Congresses --- 519.8 --- Differential equations, Partial --- -Mathematical optimization --- -Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Partial differential equations --- Operational research --- Numerical solutions --- -Congresses --- Matrices --- -Differential equations, Partial --- -519.6 --- 681.3*G13 --- Optimization (Mathematics) --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Congresses. --- -Operational research --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.8 Operational research --- -519.8 Operational research --- Numerical solutions&delete& --- Data processing&delete& --- 519.6 --- Sparse matrices. --- Matrices éparses. --- Analyse numérique. --- Mathematical optimization - Data processing - Congresses --- Sparse matrices