Asymptotic Stability of Implicit Differential Systems in the Vicinity of Program Manifold

  • S. S. Zhumatov

Abstract

Sufficient conditions for the asymptotic and uniform asymptotic stability of implicit differential systems in a neighborhood of the program manifold are established. Sufficient conditions of stability are also obtained for the known first integrals. A class of implicit systems for which it is possible to find the derivative of the Lyapunov function is selected.
Published
25.04.2014
How to Cite
ZhumatovS. S. “Asymptotic Stability of Implicit Differential Systems in the Vicinity of Program Manifold”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 4, Apr. 2014, pp. 558–565, http://umj.imath.kiev.ua/index.php/umj/article/view/2158.
Section
Short communications