
Principles of Dynamic Optimization
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This text will be a valuable resource for those seeking an understanding of dynamic optimization. The lucid exposition, insights into the field, and comprehensive coverage will benefit postgraduates, researchers, and professionals in system science, control engineering, optimization, and applied mathematics.
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Persons
Piernicola Bettiol is professor of mathematics at the University of Brest, France. He received a PhD degree in mathematics from the University of Padova and was a Postdoctoral Researcher at Imperial College London. His areas of research are dynamic optimization, control theory, calculus of variations and differential games.
Richard Vinter
is Emeritus Professor of Control Theory at Imperial College, London. He obtained a PhD from Cambridge University and was a Postdoctoral Researcher (Harkness Fellowship) at M.I.T.. His research is in the areas of nonlinear analysis, dynamic optimization, systems theory, differential games, stochastic modelling and estimation.
Content
Preface.- Overview.- Set Convergence, Measurability, and Existence of Minimizers.- Variational Principles.- Nonsmooth Analysis.- Subdifferential Calculus.- Differential Inclusions.- The Maximum Principle.- The Generalized Euler-Lagrange and Hamiltonian Inclusion Conditions.- Free End-Time Problems.- The Maximum Principle for Problems with Pathwise Constraints.- The Euler-Lagrange and Hamiltonian Inclusion Conditions in the Presence of State Constraints.- Regularity of Minimizers.- Dynamic Programming.- Bibliography.- Index.
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