Singular Extremals for the Time-Optimal Control of Dissipative Spin12Particles

A Computational Method for Solving Optimal Control Problem of Time-varying Singular Systems Using the Haar Wavelets

Feedback–invariant Optimal Control Theory and Differential Geometry, II. Jacobi Curves for Singular Extremals

This is the second article in the series opened by the paper [4]. Jacobi curves were defined, computed, and studied in that paper for regular extremals of smooth control systems. Here we do the same for singular extremals. The last section contains a feedback classification and normal forms of generic single–input affine in control systems on a 3-dimensional manifold.

Numerical Solution of Optimal Control of Time-varying Singular Systems via Operational Matrices

In this paper, a numerical method for solving the constrained optimal control of time-varying singular systems with quadratic performance index is presented. Presented method is based on Bernste in polynomials. Operational matrices of integration, differentiation and product are introduced and utilized to reduce the optimal control of time-varying singular problems to the solution of algebraic ...

Dissipative Control for Singular Impulsive Dynamical Systems

The aim of this work is to study the dissipative control problem for singular impulsive dynamical systems. We start by introducing the impulse to the singular systems, and give the definition of the dissipation for singular impulsive dynamical systems. Then we discuss the dissipation of singular impulsive dynamical systems, we obtain some sufficient and necessary conditions for dissipation of t...

Singular extremals in multi - input time - optimal problems : a sufficient condition

Abstract: In this paper we study second order sufficient conditions for the strong-local optimality of singular Pontryagin extremals. In particular, we focus on the minimum-time problem for a control-affine system with vector inputs. We use Hamiltonian methods to prove that the coercivity of a suitably-defined second variation plus an involutivity assumption on the distribution of the controlle...