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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.

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