Analysing such examples allows a deeper understanding of the features of these optimization methods, including the limits of their applicability. In this way, the book seeks to stimulate further development and understanding of the theory of optimal control.
Analysing such examples allows a deeper understanding of the features of these optimization methods, including the limits of their applicability. In this way, the book seeks to stimulate further development and understanding of the theory of optimal control.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Simon Serovajsky is a professor of mathematics at al-Farabi Kazakh National University in Kazakhstan. He is the author of many books published in the area of optimization and optimal control theory, mathematical physics, mathematical modelling, philosophy and history of mathematics as well as a long list of high-quality publications in learned journals.
Inhaltsangabe
Part I. Minimization of Functions of One Variable. 1. Fermat theorem. 2. Additions. Part II. Optimal Control Problems for Systems with a Free Finite State. 3. Maximum principle. 4. Alternative methods. 5. Uniqueness and Sufficiency. 6. Singular Controls. 7. Unsolvability of Optimal Control Problems. 8. Ill-posed Optimal Control Problems. Part III. Optimal Control Problems for Systems with a Fixed Final State. 9. Maximum Principle for Systems with a Fixed Final State. 10. Addition. 11. Counterexamples of Optimal Control Problems with a Fixed Final State. Part IV. Optimal Control Problems for Systems with Isoperimetric Conditions. 13. Optimization of Systems with Isoperimetric Conditions. 14. Absence of Sufficiency and Uniqueness in Problems with Isoperimetric Conditions. 15. Different Counterexamples for Optimization Problems with Isoperimetric Conditions. Part V. Optimal Control Problems with a Free Initial State. 16. Optimal control systems with a free initial state. 17. Different Optimal Control Problems for Systems with a Free Initial State.
Part I. Minimization of Functions of One Variable. 1. Fermat theorem. 2. Additions. Part II. Optimal Control Problems for Systems with a Free Finite State. 3. Maximum principle. 4. Alternative methods. 5. Uniqueness and Sufficiency. 6. Singular Controls. 7. Unsolvability of Optimal Control Problems. 8. Ill-posed Optimal Control Problems. Part III. Optimal Control Problems for Systems with a Fixed Final State. 9. Maximum Principle for Systems with a Fixed Final State. 10. Addition. 11. Counterexamples of Optimal Control Problems with a Fixed Final State. Part IV. Optimal Control Problems for Systems with Isoperimetric Conditions. 13. Optimization of Systems with Isoperimetric Conditions. 14. Absence of Sufficiency and Uniqueness in Problems with Isoperimetric Conditions. 15. Different Counterexamples for Optimization Problems with Isoperimetric Conditions. Part V. Optimal Control Problems with a Free Initial State. 16. Optimal control systems with a free initial state. 17. Different Optimal Control Problems for Systems with a Free Initial State.
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