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This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.

System analysis. --- Control theory. --- Commande, Théorie de la. --- Network theory --- Systems analysis --- Dynamics --- Machine theory --- System theory --- Mathematical optimization --- Network analysis --- Network science --- System Analysis --- Control theory --- Commande, théorie de la --- Commande, Theorie de la.

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This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. Existence of optimal controls is established for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

Calculus of variations. --- Control theory. --- Mathematical optimization. --- Dynamics --- Machine theory --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis --- Optimisation mathématique. --- Calcul des variations. --- Commande, théorie de la.

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Analysis and control of nonlinear infinite dimensional systems

Commande, théorie de la. --- Optimisation mathématique. --- Opérateurs non-linéaires. --- Optimaliseren. --- Operatoren. --- Controleleer. --- Control theory. --- Mathematical optimization. --- Nonlinear operators. --- Théorie de la commande --- Optimisation mathématique --- Opérateurs non linéaires --- Control theory --- Mathematical optimization --- Nonlinear operators --- Amygdala --- 519.71 --- Operators, Nonlinear --- Operator theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- physiology. --- Control systems theory: mathematical aspects --- 519.71 Control systems theory: mathematical aspects --- Dynamics --- Machine theory --- physiology