Free Final-Time Delay Fractional Optimal Control Problems

Chongyang Liu (), Song Wang () and Zhaohua Gong
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Chongyang Liu: Shandong Technology and Business University, School of Mathematics and Information Science
Song Wang: Curtin University, School of Electrical Engineering, Computing, and Mathematical Sciences
Zhaohua Gong: Shandong Technology and Business University, School of Mathematics and Information Science

Chapter 7 in Nonlinear Fractional Optimal Control, 2026, pp 123-142 from Springer

Abstract: Abstract The final time in an optimal control problem can be either fixed or free. In this chapter, we consider numerical solution of free final-time delay fractional optimal control problems. By using the time-scaling transformation, this optimal control problem is transformed into the equivalent one with fixed terminal time and variable time-delay. Then, we propose an explicit numerical scheme for solving the transformed fractional time-delay system, which yields the discrete-time fractional optimal control problem. Furthermore, a gradient-based optimization approach is developed to solve the resulting discrete-time optimal control problem. Finally, numerical results for two example problems show the effectiveness of the developed algorithm.

Date: 2026
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DOI: 10.1007/978-981-92-0274-4_7

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