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- catalog abstract "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.".
- catalog contributor b2119574.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [167]-177.".
- catalog description "Contents: Introduction -- Optimization Theory -- Retarded Functional Differential Equations -- Strong Local Minima -- Weak Local Minima -- Local Relaxed Minima -- Tests for Local Properness -- A Scenario for Local Properness -- Optimal Periodic Control of Ordinary Differential Equations -- References.".
- catalog description "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.".
- catalog extent "vi, 177 p. :".
- catalog hasFormat "Optimal periodic control.".
- catalog identifier "0387192492 (New York)".
- catalog identifier "3540192492 (Berlin)".
- catalog isFormatOf "Optimal periodic control.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1313.".
- catalog isPartOf "Lecture notes in mathematics ; 1313".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Optimal periodic control.".
- catalog subject "Control theory.".
- catalog subject "Mathematical optimization.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1313 QA402.3".
- catalog subject "Systems theory.".
- catalog tableOfContents "Contents: Introduction -- Optimization Theory -- Retarded Functional Differential Equations -- Strong Local Minima -- Weak Local Minima -- Local Relaxed Minima -- Tests for Local Properness -- A Scenario for Local Properness -- Optimal Periodic Control of Ordinary Differential Equations -- References.".
- catalog title "Optimal periodic control / Fritz Colonius.".
- catalog type "text".