Second method of Lyapunov and comparison principle for systems with impulse effect. (English) Zbl 0729.93052

Kulev, G. K.; Bainov, D. D.

J. Comput. Appl. Math. 23, No. 3, 305-321 (1988).

Summary: Questions of stability and boundedness of the solutions of systems with impulse effect at fixed moments with respect to a manifold are considered. The investigations are carried out by means of piecewise continuous vector-valued functions which are analogues of Lyapunov’s functions. By means of a vector comparison equation and differential inequalities for piecewise continuous functions, we obtain theorems on stability and boundedness of the solutions of systems with impulses with respect to a manifold.

MSC:

93C57	Sampled-data control/observation systems
34A40	Differential inequalities involving functions of a single real variable
34C11	Growth and boundedness of solutions to ordinary differential equations
34D20	Stability of solutions to ordinary differential equations

Keywords:

systems with impulse effect

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