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Observer design for Lipschitz nonlinear systems with nonuniformly sampled measurements

This paper studies the design of full-order observer for Lipschitz nonlinear systems with nonuniformly sampled measurements. By introducing a time-varying Lyapunov functional to capture the dynamic characteristic of the estimation error dynamics, a less conservative condition has been found that guarantee the exponential stability of the estimation error dynamics. The new condition is dependent on the upper bound of sampled intervals and is formulated in the form of linear matrix inequalities (LMIs). The observer gain matrix can be achieved by solving a set of LMIs. Finally, two examples are given to illustrate the feasibility and effectiveness of our results.