Liu, Xinzhi Practical stabilization of control systems with impulse effects. (English) Zbl 0757.93073 J. Math. Anal. Appl. 166, No. 2, 563-576 (1992). Summary: We investigate practical stabilization of control systems with impulse effects. Utilizing piecewise continuous Lyapunov functions and impulsive differential inequalities, we prove some general comparison results through which we establish some sufficient conditions for practical stabilization of control systems with impulse effects. We also use two different measures, which gives a unified approach, and include many interesting special cases. Cited in 9 Documents MSC: 93D30 Lyapunov and storage functions Keywords:Lyapunov functions; impulsive differential inequalities PDF BibTeX XML Cite \textit{X. Liu}, J. Math. Anal. Appl. 166, No. 2, 563--576 (1992; Zbl 0757.93073) Full Text: DOI OpenURL References: [1] Hahn, W., Stability of Motion (1967), Springer-Verlag: Springer-Verlag Berlin · Zbl 0189.38503 [2] Lakshmikantham, V.; Bainov, D. D.; Simeonov, P. S., Theory of impulsive differential equations, World Scientific (1989) · Zbl 0719.34002 [3] Lakshmikantham, V.; Leela, S., (Differential and Integral inequalities, Vol. 1 (1969), Academic Press: Academic Press New York) · Zbl 0177.12403 [5] Lakshmikantham, V.; Liu, Xinzhi, Perturbing families of Lyapunov functions and stability in terms of two measures, J. Math. Anal. Appl., 140, 107-114 (1989) · Zbl 0681.34045 [6] Liu, Xinzhi, Perturbing families of Lyapunov functions and asymptotic stability, Appl. Math. Phys. Sci., 23, 23-34 (1989) · Zbl 0679.34056 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.