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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Diederich Hinrichsen is a retired Professor of Mathematical Systems Theory at the University of Bremen.
Anthony J. Pritchard († 2007) was Professor of Mathematics and founder and director of the Control Theory Centre at the University of Warwick.
Fritz Colonius is a retired Professor of Applied Mathematics at the University of Augsburg. His main research interest is the interplay of control theory and dynamical systems theory.
Tobias Damm is Professor for Systems and Control Theory at RPTU University Kaiserslautern-Landau. His research interests include linear algebra and numerical analysis and the application of these to control theory.
Achim Ilchmann held a chair in Applied Mathematics at the Technical University of Ilmenau until his retirement in 2022. His research interests include the algebraic theory of time-varying linear systems, adaptive control, and Baroque architecture.
Birgit Jacob has been with the University of Wuppertal, Germany, since 2010, where she is a full professor in analysis. Her current research interests include the area of infinite-dimensional systems and operator theory, particularly well-posed linear systems and port-Hamiltonian systems.
Fabian R. Wirth is Professor for Dynamical Systems at the University of Passau. His research interests include stability theory, switched systems, infinite-dimensional and large-scale systems.
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Zustand: Fair. Volume 1313. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:3540192492. Artikel-Nr. 9789698
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Softcover. Zustand: Gut. Bln., Springer (1988). gr.8°. VI, 177 p. Pbck. Lecture Notes on Mathematics, 1313.- Dedication by the author and name on flyleaf, slighlty browned. Artikel-Nr. 83970
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783540192497
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Zustand: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher | 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. Artikel-Nr. 4375304/203
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Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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. Artikel-Nr. 4375304/202
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