Simon Serovajsky

Optimization

100 Examples

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Taylor & Francis Ltd
• Seitenzahl: 550
• Erscheinungstermin: 30. Juli 2024
• Abmessung: 254mm x 178mm
• ISBN-13: 9781032500072
• ISBN-10: 1032500077
• Artikelnr.: 70150372

Autorenporträt

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.