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

EP - 184 PB - Princeton University Press PY - 2012 SN - 9780691153896 SP - 169 T2 - Hybrid Dynamical Systems T3 - Modeling, Stability, and Robustness UR - www.jstor.org/stable/j.ctt7s02z.11 Y2 - 2020/07/10/ ER -