Representation and Control of Infinite-Dimensional Systems
Publication year: 2007
ISBN: 978-0-8176-4581-6
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The book is structured into five parts. Part I reviews basic optimal control and game theory of finite dimensional systems, which serves as an introduction to the book. Part II deals with time evolution of some generic controlled infinite dimensional systems and contains a fairly complete account of semigroup theory. It incorporates interpolation theory and exhibits the role of semigroup theory in delay differential and partial differential equations. Part III studies the generic qualitative properties of controlled systems. Parts IV and V examine the optimal control of systems when performance is measured via a quadratic cost. Boundary control of parabolic and hyperbolic systems and exact controllability are also covered.
Subject: Mathematics and Statistics / H-infinity t / Optimal control / controllability, observability, stabiliabiliy /distributed parameter systems /finite dimensional systems / game theory / hyperbolic equation / infinite dimensional systems /linear ordinary differential equations / linear quadratic differential games /max-inf and min-sup problems /partial differential equation / partial differential equations / quadratic optimal control / systems with time delays
