Global analysis of piecewise linear systems using impact maps and surface Lyapunov functions (2003)
Gonçalves, Jorge M., Megretski, Alexandre, Dahleh, Munther A.
This paper presents an entirely new constructive global analysis methodology for a class of hybrid systems known as piecewise linear systems (PLS). This methodology infers global properties of PLS...
ℒ2-Gain of double integrators with saturation nonlinearity (2002)
This note uses quadratic surface Lyapunov functions (SuLFs) to efficiently check if a double integrator in feedback with a saturation nonlinearity has ℒ2-gain less than γ > 0. We show that for...
ℒ2-Gain of Double Integrators with Saturation Nonlinearity (2001)
This paper uses quadratic surface Lyapunov functions to efficiently check if a double integrator in feedback with a saturation nonlinearity has ℒ2-gain less than γ > 0. We show that for many such...