In this paper, problems of stability in measure and optimal control are considered for an uncertain continuous-time singular system which can be described by uncertain differential equations. Singular system is assumed to be regular and impulse-free. Under some given assumptions, the existence and uniqueness of the solution, and stability in measure of the singular system are presented. Then, b...

The paper deals with optimal control problems with only one control variable and one state constraint, of arbitrary order. We consider the case of finitely many boundary arcs and touch times. We obtain a no-gap theory of second-order conditions, allowing to characterize second-order quadratic growth.

This paper presents the Optimal Well-tempered Tuning system (OWT), a software application for computing optimal tuning systems in real-time. The optimal tuning systems are created from a framework, proposed by us, that formalizes historical and cross-cultural criteria. The parameters of the system are a fixed number of pitches, a repeat factor, an ideal tuning set, and weights for keys and inte...

Optimal Control for Learning with Applications in Dynamic MRI

In this paper, we propose the new concept of optimal solution for fuzzy variational problems based on the possibility and necessity measures. Inspired by the well–known embedding theorem, we can transform the fuzzy variational problem into a bi–objective variational problem. Then the optimal solutions of fuzzy variational problem can be obtained by solving its corresponding biobjective variatio...

This paper investigates the real-time optimal obstacle avoidance of a micro ground vehicle (MGV) using the modified Carathéodory- solutions. The optimal control problem is sequentially solved by the pseudospectral optimal control theory as a minimum-time point-to-point maneuver. The MGV uses the generated optimal control law and optimal trajectory for its maneuver. When the vehicle approaches ...