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Delay-dependent criteria for absolute stability of uncertain time-delayed Lur’e dynamical systems |
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| Authors: | SM Lee |
| Institution: | a Department of Electronic Engineering, Daegu University, Gyungsan, Republic of Korea b Robust Control and Nonlinear Dynamics Laboratory, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea |
| Abstract: | This paper deals with the absolute stability analysis for uncertain time-delayed Lur systems with sector and slope restricted nonlinearities. New delay-dependent stability criteria are derived via linear matrix inequality (LMI) formulation that can be easily solved by various convex optimization techniques. Sector bounds and slope bounds are employed to a Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. A numerical example shows effectiveness of the proposed stability condition over some existing ones. |
| Keywords: | Delay-dependent criteria Time-delayed Lur&rsquo e systems Sector and slope restrictions LMI |
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