ID PW
 
* Join the Member of ICROS 
* Need your ID or Password?
 
 
 
Subject Keyword Abstract Author
 
 
On the Uniqueness and Stability of Mayer Optimal Control Problem with Quasi-convexity Functional

Khelifa Djendel and Zhongcheng Zhou*
International Journal of Control, Automation, and Systems, vol. 21, no. 1, pp.31-39, 2023

Abstract : We consider in this paper Mayer optimal control problem for linear systems with convex compact polyhedral control set. Under quasi convexity of the functional, we give some assumptions to guarantee the uniqueness and analyse the stability for a class of Mayer-type problem via Pontryagin Maximum Principle relying on the controllability index of linear systems. Moreover, we present the error evaluates for the Euler discretization method and it turns out that its accuracy based on the controllability index related with the optimal solution. In addition, we give an example with numerical tests to confirm the theoretical result.

Keyword : Euler method, linear control system, optimal control, quasi-convex, uniqueness and stability analysis.

 
Copyright ⓒ ICROS. All rights reserved.
Institute of Control, Robotics and Systems, Suseo Hyundai-Ventureville 723, Bamgogae-ro 1-gil 10, Gangnam-gu, Seoul 06349, Korea
Homepage http://eng.icros.org | Tel. +82-2-6949-5801 (ext. 3) | Fax. +82-2-6949-5807 | E-mail icros@icros.org