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Mathematical Control Theory

On an analytical solution of systems of matrix inequalities dual to Lyapunov inequality systems

V. V. Pozdyaev

Arzamas Polytechnical Institute of Nizhny Novgorod State Technical University

Abstract: Systems of Lyapunov inequalities of arbitrary order are considered. A way to analytically find solutions of dual matrix inequality systems is presented. Some particular cases are considered in detail, providing sufficient conditions of original Lyapunov inequality systems' infeasibility.

Keywords: linear systems, matrix inequalities, Lyapunov inequalities.

UDC: 681.5.011
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