03482nam 22004935 450 991080558530332120240117073658.03-031-36655-710.1007/978-3-031-36655-0(MiAaPQ)EBC31072005(Au-PeEL)EBL31072005(DE-He213)978-3-031-36655-0(EXLCZ)992997793390004120240117d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierA Course on Optimal Control[electronic resource] /by Gjerrit Meinsma, Arjan van der Schaft1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Springer,2023.1 online resource (282 pages)Springer Undergraduate Texts in Mathematics and Technology,1867-5514Print version: Meinsma, Gjerrit A Course on Optimal Control Cham : Springer,c2024 9783031366543 1. Calculus of Variations -- 2. Minimum Principle -- 3. Dynamic Programming -- 4. Linear Quadratic Control -- 5. Glimpses of Related Topics -- A. Background Material -- B. Differential Equations and Lyapunov Functions -- Solutions to Odd Numbered Exercises -- Bibliography -- Index.This text provides a detailed and self-contained introduction to the core topics of optimal control for finite-dimensional deterministic dynamical systems. Skillfully designed to guide the student through the development of the subject, the book provides a rich collection of examples, exercises, illustrations, and applications, to support comprehension of the material. Solutions to odd-numbered exercises are included, while a complete set of solutions is available to instructors who adopt the text for their class. The book is adaptable to coursework for final year undergraduates in (applied) mathematics or beginning graduate students in engineering. Required mathematical background includes calculus, linear algebra, a basic knowledge of differential equations, as well as a rudimentary acquaintance with control systems. The book has developed out of lecture notes that were tested, adapted, and expanded over many years of teaching. Chapters 1-4 constitute the material for a basic course on optimal control, covering successively the calculus of variations, minimum principle, dynamic programming, and linear quadratic control. The additional Chapter 5 provides brief views to a number of selected topics related to optimal control, which are meant to peak the reader’s interest. Some mathematical background is summarized in Appendix A for easy review. Appendix B recalls some of the basics of differential equations and also provides a detailed treatment of Lyapunov stability theory including LaSalle’s invariance principle, as occasionally used in Chapters 3 and 4.Springer Undergraduate Texts in Mathematics and Technology,1867-5514System theoryControl theorySystems Theory, Control System theory.Control theory.Systems Theory, Control .629.8312Meinsma Gjerrit1588715van der Schaft Arjan994079MiAaPQMiAaPQMiAaPQBOOK9910805585303321A Course on Optimal Control3882721UNINA