ISBN : 9781032500072
Author : Simon Serovajsky
Publisher : CRC
Year : 2024
Language : English
Type : Book
Description : 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.