Aschepkov L.T., Dolgy D.V., Kim T., Agarwal R.P. Optimal Control

Springer International Publishing AG, 2016. — 211 p. — ISBN: 3319497804This 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.The Subject of Optimal Control
Mathematical Model for Controlled Object
Control of Linear Systems
Reachability Set
Controllability of Linear Systems
Minimum Time Problem
Synthesis of the Optimal System Performance
The Observability Problem
Identification Problem
Control of Nonlinear Systems
Types of Optimal Control Problems
Small Increments of a Trajectory
The Simplest Problem of Optimal Control
General Optimal Control Problem
Sufficient Optimality Conditions