Finite-Time Control of Complex Networks With Nondifferential Delays by Bounded Control Laws
Fanchao Kong, Yuanyuan Zhang, Quanxin Zhu, Tingwen Huang · IEEE Transactions on Circuits & Systems II Express Briefs · 2023
This brief considers a class of complex networks with nondifferential delays and discontinuous disturbances modeled by Filippov systems. Due to the existence of nondifferential delays, the use of Lyapunov-Krosovskii-functional approaches will not be optimal, and the effects of time delays on the convergence time cannot be analyzed. In order to solve this problem, comparison methods and inequality techniques are chosen to be used, which have not been used to study the stability of the delayed complex networks in the literature. By using the differential inclusion theory, delay-dependent finite-time stability criteria are derived via the designed control laws with functions$\tanh (\cdot)$and$\arctan (\cdot)$. The designed controllers are bounded and without delay terms, which are different from the previous ones. Some previous stability results on the complex networks with differential delays are improved. Finally, numerical simulations are provided to illustrate the validness of theoretical results.