Academic Journal of Mathematical Sciences, 2026, 7(1); doi: 10.25236/AJMS.2026.070105.
Heping Gu1
1Department of Mathematics and Physics, Sichuan Minzu College, Kangding, China
In this paper, a new adaptive-trigger control method via adaptive dynamic programming is proposed to study the finite-time optimal control problem of nonlinear systems with input delay. Firstly, the influence of input delay was eliminated through an approximation method. Secondly, in order to obtain the solution of the Hamilton-Jacobi-Bellman equation and design the optimal control scheme, a neural network is constructed to approximate the optimal cost function. In addition, the closed-loop systems have been proven to be finite-time stable. Finally, the feasibility of the proposed method was verified through a numerical simulation.
Adaptive-triggered Mechanism, Adaptive Dynamic Programming, Optimal Control, Neural Network, Input Delay
Heping Gu. Finite-time adaptive-triggered control for nonlinear affine systems with input delay. Academic Journal of Mathematical Sciences (2026), Vol. 7, Issue 1: 30-38. https://doi.org/10.25236/AJMS.2026.070105.
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