Finite dimensional approximations for a class of infinite dimensional time optimal control problems

• Published in: International journal of control Vol. 92; no. 1; pp. 132 - 144
• Main Authors: Tucsnak, Marius, Valein, Julie, Wu, Chi-Ting
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 02.01.2019; Taylor & Francis Ltd
• Subjects: Analysis of PDEs; Distributed parameter systems; Mathematics; Norms; numerical approximation; Optimal control; Time optimal control; optimal control; distributed parameter systems; numerical approximation AMS subject classifications 93C25

In this work, we study the numerical approximation of the solutions of a class of abstract parabolic time optimal control problems with unbounded control operator. Our main results assert that, provided that the target is a closed ball centered at the origin and of positive radius, the optimal time...