Nonlinear fractional optimal control theory and numerical computation Chongyang Liu, Song Wang, Zhaohua Gong

Format:

Book

Author/Creator:

Liu, Chongyang, 1977- author.

Wang, Song (Of Curtin University), author.

Gong, Zhaohua, author.

Series:

Springer optimization and its applications ; v. 237.

Springer optimization and its applications 1931-6836 volume 237

Language:

English

Subjects (All):

Fractional calculus.

Nonlinear theories.

Control theory.

Numerical analysis.

Mathematical optimization.

Physical Description:

1 online resource

Place of Publication:

Singapore Springer [2026]

Summary:

"Fractional optimal control problems (FOCPs) are a generalization of the conventional optimal control problems of integer order in the sense that the dynamics are governed by fractional systems. FOCPs arise in many fields such as mathematics, engineering, biology, economics, finance and management. It is often impossible to obtain analytical solutions of nonlinear FOCPs in general. Thus, establishing optimization theory and finding effective numerical methods for nonlinear FOCPs have become an active research topic. In this book, we will investigate the optimality theories and numerical solution methods of a variety of nonlinear FOCPs including delay nonlinear FOCP, free final time nonlinear FOCP, robust nonlinear FOCP, nonlinear FOCPs with Atangan-Baleanu derivatives and nonlinear FOCPs with conformable derivatives. Numerical solution of fractional optimal control has been an emerging research topic which has attracted much attention in the past few years from both researchers and practitioners, as advances in this area will be very useful for solving real-world optimal control problems which cannot be solved using conventional methods. The objective of this book is to present systematically various fractional optimal control problems of practical importance. By bringing forward fresh novel methods and innovative tools, we are to provide a state-of-the-art and comprehensive systematic treatment of nonlinear fractional optimal control problems, mostly from our previous research results. This can not only develop fractional systems, optimal control theory, and optimization algorithms but also serve as a reference for applied and computational of optimal control problems. The book will be attractive to researchers in various fields of mathematics, control theory and engineering and practitioners who wants to solve their real-life fractional optimal control problems. Graduate students in related fields will also find this book useful for their training and research"-- Springer Nature Link

Contents:

Fractional integrals and derivatives

Fractional-order systems

Constrained mathematical programming

Fractional optimal control problems

Delay fractional optimal control problems

Free final-time delay fractional optimal control problems

Robust fractional optimal control problems

Fractional optimal control problems with Atangana-Baleanu derivatives

Fractional optimal control problems with conformable derivatives

Notes:

Includes bibliographical references

Online resource; title from PDF title page (Springer Nature Link, viewed July 16, 2026)

Other Format:

Print version Liu, Chongyang, 1977- Nonlinear fractional optimal control

ISBN:

9789819202744

9819202744

OCLC:

1603171362

Access Restriction:

Restricted for use by site license