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FINITE-TIME STABILITY OF SYSTEM OF SERIES-CONNECTED INTEGRATORS

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The problem of finite-time stability analysis of system of series-connected integrators is considered. An algorithm of the system stabilization is proposed. The algorithm makes use of implicit Lyapunov function technique as well as several properties of homogeneous systems. Evaluation of control parameters is based on solution to a system of linear matrix inequalities. Effectiveness of the proposed method is confirmed by presented results of computer modeling

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