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New delay-dependent condition for absolute stability of Lurie control systems with multiple time-delays and nonlinearities. (English) Zbl 1193.93143
Summary: The absolute stability of Lurie system with multiple time-delays and nonlinearities is considered in this paper. Based on the Lyapunov stability theory and the approaches of decomposing the matrices and adding modulatory matrices, a novel delay-dependent sufficient condition for the absolute stability is derived and expressed in the form of the linear matrix inequality (LMI). A numerical example shows that the result obtained in this paper improved the estimate of the stability limit over some existing results.

MSC:
93D05Lyapunov and other classical stabilities of control systems
34K20Stability theory of functional-differential equations
93C23Systems governed by functional-differential equations