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DOI: 10.23952/jnfa.2024.9
Received November 2, 2023; Accepted March 24, 2024; Published April 28, 2024
Abstract. The absolute stability of a time-varying Lurie direct control system with time-varying delay is studied in this paper. Based on the Lyapunov stability theorem for non-autonomous delay differential systems, we tackle a class of stability analysis problems. Sufficient conditions to ensure the absolute stability of the time-delayed Lurie system with single nonlinearity are formulated by simple and easily verifiable inequalities. Subsequently, the conclusions are extended to the case of multiple nonlinearities. The results in this paper are not only effective for the Lurie systems with norm-unbounded coefficients but also applicable to this class of systems with bounded or constant coefficients. Finally, the stability results are illustrated by numerical simulations.
How to Cite this Article:
X. Yu, R. Lu, Y. Hua, Absolute stability of time-delayed Lurie direct control systems with unbounded coefficients, J. Nonlinear Funct. Anal. 2024 (2024) 9.