On the Use of Augmented Model to Continuous-Time System Stability Study

Abstract

Complex systems stability study subject to parameters uncertainties or to nonlinear behavior, are considered in this paper. A systematic method for the reduction of the analysis complexity of the underlying systems constitutes the main contribution of this paper. By applying the comparison principle for stability analysis and the use of an augmented models technique for representation, it is shown that stability conditions are interpreted in one hand, in terms of the nominal without uncertainties/nonlinearities conditions and in the other hand uncertainty/nonlinearity supplementary conditions. Second order systems are developed to illustrate the efficiency of our approach.