Optimization and Identification of Systems Governed by Evolution Equations on Banach Space

This monograph aims to develop a unified theory for identification of systems governed by evolution equations in Banach spaces and also attempts to develop an abstract optimization theory involving the space of operators and other control variables.;The text develops the author's general theory of optimization involving standard or relaxed controls, parameters and operators for abstract evolution equations on Banach space. It is comprised of five chapters containing theoretical results, followed by a sixth giving numerical results.;The book begins with general optimization problems involving operators, controls and other parameters for systems governed by parabolic, damped and undamped hyperbolic equations in Hilbert spaces and abstract evolution equations on Banach spaces based on semigroup theory. Necessary conditions of optimality for these systems are then presented.;Consideration is then given to abstract linear and semilinear initial boundary value problems involving analytic semigroup leading to abstract integral evolution equations.;The book then deals with nonlinear systems which are governed by evolution equation containing nonlinear monotone operators, accretive operators and quasi-accretive operators.;Finally, methods for the identification of stochastic systems based on partial state information giving existence theory and necessary conditions of optimality are discussed, and a solution to the partially observed control problem is also given.