@inbook{10.2307/j.ctt7s02z.11,
ISBN = {9780691153896},
URL = {http://www.jstor.org/stable/j.ctt7s02z.11},
abstract = {Invariance principles characterize the sets to which precompact solutions to a dynamical system must converge. They rely on invariance properties of ω-limit sets of solutions, as defined in Definition 6.17, and additionally on Lyapunov-like functions, which do not increase along solutions, or output functions. Invariance principles which rely on Lyapunov-like functions are presented in Section 8.2. Applications of these invariance principles to analysis of asymptotic stability are described in Section 8.3. Section 8.4 states an invariance principle involving not a Lyapunov-like function, but an output function having a certain property not along all solutions, but only along the solution whose},
bookauthor = {Rafal Goebel and Ricardo G. Sanfelice and Andrew R. Teel},
booktitle = {Hybrid Dynamical Systems: Modeling, Stability, and Robustness},
pages = {169--184},
publisher = {Princeton University Press},
title = {Invariance principles},
year = {2012}
}