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Improved stability analysis and control design of reset systems

A reset methodology in controller design can affect the performance and stability of control systems. Stability of reset time delay systems can be addressed based on a similar theorem of Lyapunov-Krasoviskii theory. In this study, a robust delay-dependent stability analysis of reset control systems is proposed for linear time invariant case. The conditions of stability are given in terms of linear matrix inequalities. In addition, extension of results is given to investigate stability of non-linear reset systems. Numerical examples are used to illustrate the effectiveness of the proposed approaches.