@inbook{10.2307/j.ctt7zvqf0.5,
ISBN = {9780691127156},
URL = {http://www.jstor.org/stable/j.ctt7zvqf0.5},
abstract = {One of the most basic issues in system theory is stability of dynamical systems. System stability is characterized by analyzing the response of a dynamical system to small perturbations in the system states. Specifically, an equilibrium point of a dynamical system is said to bestableif, for small values of initial disturbances, the perturbed motion remains in an arbitrarily prescribed small region of the state space. More precisely, stability is equivalent to continuity of solutions as a function of the system initial conditions over a neighborhood of the equilibrium point uniformly in time. If, in addition, all solutions of},
bookauthor = {Wassim M. Haddad and VijaySekhar Chellaboina and Sergey G. Nersesov},
booktitle = {Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control},
pages = {9--80},
publisher = {Princeton University Press},
title = {Stability Theory for Nonlinear Impulsive Dynamical Systems},
year = {2006}
}