Necessary and sufficient conditions for an optimal control problem involving discontinuous cost integrand

비연속 코스트를 갖는 최적 제어 문제의 필요충분조건

An optimal problem in which the dynamics is nonlinear and the cost functional includes a discontinuous integrand is investigated. By using Neustadt's abstract maximum principle, a necessary conditions in the form of Pontryagin's maximum principle is derived and it is further shown that this necessary condition is also a sufficient condition for normal problems with linear-in-the-state systems.