Work

Lagrange Multiplier Method for Variational Theory and Optimal Control and Beyond

Year: 2024

Type: article

Abstract: Lagrange multipliers are a commonly employed method for the elimination of constraints in both variational theory and optimal control. However, it should be noted that the validity of this approach may be compromised when the identified multiplier is equal to zero. The paper elucidates the phenomenon of a zero multiplier and its hidden mechanism, and it proffers two methodologies for surmounting the associated challenges.

Source: WSEAS TRANSACTIONS ON MATHEMATICS

DOI: 10.37394/23206.2024.23.103

Authors: Yabin Shao, Ji-Huan He, Yue Shen

Institutions: Zhejiang Shuren University, Xi'an University of Architecture and Technology

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G6394591794