Solution to Singular Optimal Control by Backward Differential Flow | Zendy

Jinghao Zhu | Zendy; Shangrui Zhao | Zendy; Guohua Liu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Solution to Singular Optimal Control by Backward Differential Flow

Author(s) -

Jinghao Zhu,

Shangrui Zhao,

Guohua Liu

Publication year - 2013

Publication title -

journal of control science and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.208

H-Index - 18

eISSN - 1687-5257

pISSN - 1687-5249

DOI - 10.1155/2013/678679

Subject(s) - flow (mathematics) , differential (mechanical device) , class (philosophy) , optimal control , mathematics , set (abstract data type) , mathematical optimization , singular solution , transformation (genetics) , control (management) , flow control (data) , control theory (sociology) , computer science , mathematical analysis , geometry , engineering , biochemistry , chemistry , computer network , artificial intelligence , gene , programming language , aerospace engineering

This paper presents a backward differential flow for solving singular optimal control problems. By using Krotov equivalent transformation, the cost functional is converted to a class of global optimization problems. Some properties of the flow are given to reveal the significant relationship between the dynamic of the flow and the geometry of the feasible set. The proposed method is also used in solving a class of variational problems. Some examples are illustrated

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research