ON OPTIMAL CONTROL OF LINEAR HYBRID SYSTEMS WITH TERMINAL CONSTRAINTS

The paper deals with linear discrete-continuous control systems under linear terminal constraints of equality type. To investigate the optimal control problem, the Cauchy formula and the conjugate system are derived. The optimal control problem is studied in a class of discrete control functions, and based on elements and principles of the dynamical version of the adaptive method of LP (Gabasov et al, 2000). The main dynamical elements of the version are described to formulate the ϵ-maximum principle in terms of a ”support”, and to justify a method of constructing optimal programs. Some important properties of estimates of optimality (ϵ-optimality) are obtained. A scheme of constructing optimal positional solutions are described