The Stability Study of Dynamic Systems Using the Leapunov Function Method

Abstract

The paper includes the stability study of some dynamical systems given by systems of differential equations. The paper examines the stability of three dynamic systems using the Leapunov function method. The originality of the paper consists of how we choose the Leapunov function. We apply the stability theorems given by Leapunov for autonomous systems. Stability is an important property of a dynamic system that has applications in the technique.

Dynamic Systems - Applications in Economy and in Technology

“…For this system, the Hurwitz matrix method cannot be applied because of the solutions with null real part [1][2][3]. On the other hand, the prime integral is to be found…”

“…For this differential system, the Hurwitz matrix method cannot be applied because of having solutions with null real part [1][2][3]. For the first approximation system…”