Abstract: Optimal open-loop and closed-loop controls are defined in a consistent fashion. It is shown that under certain conditions an optimal closed-loop control generates an optimal open-loop one and ...

Abstract: We consider a class of linear dynamical systems in which the system and input matrices, as well as the input, are uncertain. The nominal system is time-invariant, while the uncertainties are ...

Abstract: We consider a class of linear dynamical systems containing uncertain elements and subject to uncertain inputs, and for which either uncertain state or output is available. We construct a feedback ...

Abstract: This paper presents controllers for a class of nonlinear uncertain systems when each control input is subject to an upper bound on its magnitude or norm. The proposed controllers ensure that ...

Abstract: An avoidance control is an admissible control which permits avoidance of a givenset of state space Rn . Existence theorems for avoidance controls are given for control processes governed by ...

Abstract: The problem of maximizing the minimum distance of a dynamical system’s state from a given closed set, while transferring the system from a given initial state to a given terminal state, is ...

Abstract: We consider the optimal control problem with vector-valued criterion (including cooperative games) and seek Pareto-optimal (noninferior) solutions. Scalarization results, together with modified ...