Approximate Solutions of Impulsive Optimal Controls for a Class of Lagrange Problem. (25th October 2020)

• Record Type: Journal Article
• Authors: Zhu, Lanping; Pan, Weiwei; Li, Gang
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 14(2020)
• Page Start: 1769
• Page End: 1785
• Publication Date: 2020-10-25
• Subjects: Approximate solutions -- impulsive optimal controls -- Lagrange problem -- minimizing sequences; 34G20 -- 34K35 -- 93C25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1813165
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: This work is devoted to establish the optimal solutions of impulsive optimal controls for a class of Lagrange problem. Using the approximate method and fixed point theorem, the corresponding semilinear system is solvable under some appropriate assumptions. From the derived results, we propose to construct two kinds of minimizing sequences of approximating solutions to obtain the optimal solutions. The new results obtained here actually give rise to a general technique useful also for other optimal control problems with multiple solutions.