Optimal control of nonlinear fractional systems with multiple pantograph‐delays

Zhaohua Gong, Chongyang Liu, Kok Lay Teo and Xiaopeng Yi

Applied Mathematics and Computation, 2022, vol. 425, issue C

Abstract: In this paper, we consider optimal control of nonlinear fractional-order systems with multiple pantograph-delays, where the fractional-order derivatives are expressed in the Caputo sense. For this problem, we first propose an explicit integration scheme to numerically solve the nonlinear fractional-order system with multiple pantograph-delays and approximate the cost functional using the trapezoidal rule. This yields a series of nonlinear parameter optimization problems. Then, we derive gradients of the cost functions in the resulting problems. Furthermore, we present a gradient-based optimization approach to solve the fractional pantograph-delay optimal control problem. Finally, we validate the proposed solution approach by solving three numerical examples.

Keywords: Fractional optimal control; Pantograph-delay system; Numerical integration; Gradient computation; Numerical optimization (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300322001783

DOI: 10.1016/j.amc.2022.127094

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