Items related to Optimal Periodic Control (Lecture Notes in Mathematics)
Synopsis
This research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic motions. Using either Ekeland's Variational Principle or optimization theory in Banach spaces, necessary optimality conditions are proved. In particular, complete proofs of second-order conditions are included and the result is used for various versions of the optimal periodic control problem. Furthermore a scenario for local properness (related to Hopf bifurcation) is drawn up, giving hints as to where to look for optimal periodic solutions. The book provides mathematically rigorous proofs for results which are potentially of importance in chemical engineering and aerospace engineering.
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Optimal Periodic Control (Lecture Notes in Mathematics)
Seller: Hidden Trove Books, Peoria, IL, U.S.A.
Seller rating 5 out of 5 stars
Soft cover. Condition: Very Good. Optimal Periodic Control (Lecture Notes in Mathematics, ISBN 9780387192499) is a specialized research monograph in control theory and optimization, focusing on systems whose behavior repeats over time. Periodic control problems arise in engineering, physics, economics, and applied mathematics, making this volume relevant across multiple disciplines. Typical content includes: Foundations of periodic optimal control Existence and regularity of optimal periodic solutions Variational and functional?analytic methods Pontryagin?type principles for periodic systems Applications to dynamical systems and engineering models Rigorous proofs, operator?theoretic constructions, and optimization frameworks This LNM volume is especially valued by researchers working in control theory, dynamical systems, and applied analysis. Ideal For Control?theory researchers Optimization specialists Applied?mathematics scholars Collectors of Lecture Notes in Mathematics Why It Matters Periodic control problems are central in engineering and applied mathematics. LNM volumes in control theory are low?print?run and retain strong resale value. This topic is niche but in demand among advanced researchers. Seller Inventory # ABE-1791939365986