This self-contained book by Pablo Pedregal presents in a unified, systematic way the basic principles of optimal control governed by ODEs. Using a variational perspective, the author incorporates important restrictions like constraints for control and state, as well as the state system itself, into the equivalent variational reformulation of the problem. The fundamental issues of existence of optimal solutions, optimality conditions, and numerical approximation are then examined from this variational viewpoint. Inside, readers will find •a unified approach to all the basic issues of optimal control, •academic and real-world examples testing the book’s variational approach, and •a rigorous treatment stressing ideas and arguments rather than the underlying mathematical formalism. A Variational Approach to Optimal Control of ODEs is mainly for applied analysts, applied mathematicians, and control engineers, but will also be helpful to other scientists and engineers who want to understand the basic principles of optimal control governed by ODEs. It requires no prerequisites in variational problems or expertise in numerical approximation. It can be used for a first course in optimal control.
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Pablo Pedregal is professor of applied mathematics at University of Castilla-La Mancha in Spain. He has written more than 100 scientific articles and several technical books. His research is focused on variational techniques applied to optimization problems in areas like calculus of variations, optimal control, optimal design in continuous media, nonlinear elasticity, and inverse problems.
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Paperback. Condition: New. Adopting a variational approach, this self-contained textbook presents the basic principles of optimal control governed by ODEs. Inside, readers will encounterthe fundamental issues of existence of optimal solutions, optimality conditions, and numerical approximation from a variational perspective,academic and real-world examples testing the book's variational approach, anda unified treatment that requires no prior expertise in variational problems or numerical approximation.A Variational Approach to Optimal Control of ODEs is for applied analysts, applied mathematicians, and control engineers. It can be used in courses on Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory. Seller Inventory # LU-9781611977103
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