Asymptotic Stability of Implicit Differential Systems in the Vicinity of Program Manifold
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.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 4, pp 625-632.
Citation Example: Zhumatov S. S. Asymptotic Stability of Implicit Differential Systems in the Vicinity of Program Manifold // Ukr. Mat. Zh. - 2014. - 66, № 4. - pp. 558–565.