Necessary and Sufficient Conditions of the Optimality for Hyperbolic Systems with Non-Differentiable Performance Functional.

摘要

In this paper an optimal control problem with non-differentiable cost function for distributed parameter system is solved. As an example an optimal control problem for system described by a linear partial differential of hyperbolic type with the Neuman's boundary condition is considered. By use of the Milutin-Dubovicki method, necessary and sufficient conditions of optimality with non-differentiable performance functional and constrained control are derived for Neuman's problem. (Atomindex citation 14:780537)