The Stability of Second Order Quadratic Differential Equations. Part III

Abstract : This is a sequel to the earlier report on pure quadratic systems and considers the complexities introduced by the addition of a linear term. The diversity of qualitative behavior evinced by such systems has led us to limit this investigation to a specific question - global asymptotic stability. Necessary and sufficient conditions for such stability are derived here taking advantage of the relatively simple structure of the pure quadratic systems discussed. These conditions may find application in such areas of systems theory as adaptive control and bilinear systems. (Author)