Domination Design Approach to Robust Stabilization of Nonlinear Systems with Time-Delay via Lyapunov-Razumikhin Function

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This paper presents a new design approach to robust stabilizing controller for nonlinear systems with time-delay related uncertainty. The key idea of the design approach is to dominate the derivative of Lyapunov-Razumikhin function whenever the Razumikhin condition holds. It is shown that by exploiting the proposed domination design approach, a solution of robust stabilization problem can be derived for the nonlinear systems that has cascaded form and triangular structure with bounded time delay related uncertainty. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach.

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