TY - BOOK ID - 14600627 TI - Optimal Control AU - Aschepkov, Leonid T. AU - Dolgy, Dmitriy V. AU - Kim, Taekyun. AU - Agarwal, Ravi P. PY - 2016 SN - 3319497804 3319497812 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Mathematics. KW - System theory. KW - Calculus of variations. KW - Calculus of Variations and Optimal Control; Optimization. KW - Systems Theory, Control. KW - Mathematical optimization. KW - Systems theory. KW - Optimization (Mathematics) KW - Optimization techniques KW - Optimization theory KW - Systems optimization KW - Mathematical analysis KW - Maxima and minima KW - Operations research KW - Simulation methods KW - System analysis KW - Control theory. KW - Systems, Theory of KW - Systems science KW - Science KW - Isoperimetrical problems KW - Variations, Calculus of KW - Philosophy UR - https://www.unicat.be/uniCat?func=search&query=sysid:14600627 AB - This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditions of optimal processes. In the first part of the course, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of a reachability set in the class of piecewise continuous controls, and the problems of controllability, observability, identification, performance and terminal control are also considered. The second part of the course is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Further exercises and a large number of additional tasks are provided for use as practical training in order for the reader to consolidate the theoretical material. ER -