Estabilidade e Estabilização Robusta de Sistemas Positivos Chaveados Variantes no Tempo na Presença de Atrasos na Função de Estados

Abstract

The present paper addresses the problem of stability analysis and robust stabilization of switched linear systems with time-delay in the state function. The uncertainty class considered is of discrete-time varying polytopic type. Conditions are proposed, in the form of linear matrix inequalities, via time-varying uncertain parameter-dependent switched Lyapunov functions, to ensure the positivity, stability and robust stabilization of the dynamic system. Polytopic uncertainties are considered in the state matrix and in the matrix that weights the time-delay state function. Two example systems are employedd to verify the effectiveness of the proposed conditions.