Smart Grid Security and ResilienceStability and Control of Uncertain SystemsAdaptive Dynamic Programming Control

Xiang Zhu, Yiheng Wu, Chunyan Lu

2026.1.1Journal of Control Science and Engineering

DOI: 10.1155/jcse/1842009

Abstract

This paper is concerned with intermittent control issues for a class of complex cyber‐physical systems with actuator saturation and mixed time delays under multiple attacks. It is assumed that mixed delays are composed of distributed state delays and time‐varying input delays, and two stochastic variables obeying the Bernoulli distributions are utilized to characterize the occurrence probability of malicious attacks. In such a framework, the discrete‐delayed model incorporating the characteristics of mixed delays and multiple attacks is established for the complex cyber‐physical systems. Sufficient conditions are derived with the help of Lyapunov stability theory and linear matrix inequality technology, and an intermittent controller is proposed to guarantee the exponential stability of complex cyber‐physical systems. Finally, two illustrative examples are provided to demonstrate the effectiveness of the developed control method.

Citation format

ZHU, Xiang; WU, Yiheng; LU, Chunyan. Intermittent control for complex cyber‐physical systems with mixed time‐delays under multiple attacks. Journal of Control Science and Engineering, 2026, 2026(1).