ABSTRACT
Chapter 1 The fundamental problems of the dynamics and the stability of systems with uncertain parameter values attract the attention of many specialists. During recent years the progress in the study of the stability of nonlinear and controlled uncertain systems is connected with the constructive application of the ideas of the direct Lyapunov method. Actual results obtained in this direction are given in the review by Corless [1993b], which contains a large bibliography (also see Garofalo and Glielmo [1996]). The concept of the parametric stability (see Ikeda et al. [1991]) and the original idea of the article by Lakshmikantham and Vatsala [1997] were incentives for conducting a series of studies of the dynamic behavior of nonlinear systems with uncertain values of their parameters.
