ABSTRACT

2.1 Introduction

General results of qualitative analysis of nonlinear systems motions presented in Section 1.6 and 1.8 are set out in terms of existence of an appropriate Liapunov matrix-valued function. Similarly to the classical version of the direct Liapunov method the efficiency of the results application in the investigation of concrete systems dynamics depends on the successful solution of the problem of constructing an appropriate matrix-valued function.