Title :
New stability analysis technique and backstepping for neutral nonlinear systems
Author :
Mazenc, F. ; Ito, H.
Author_Institution :
L2S, Supelec, Gif-sur-Yvette, France
Abstract :
For nonlinear systems with delay of neutral type, we propose a new technique of stability and robustness analysis. It relies on the construction of functionals that make it possible to establish estimates of the solutions different from, but very similar to, estimates of ISS or iISS type. These functionals are themselves different from, but very similar to, ISS or iISS Lyapunov-Krasovskii functionals. The approach applies to systems which do not have a globally Lipschitz vector field and are not necessarily locally exponentially stable. We apply this technique to carry out a backstepping design of stabilizing control laws for a family of neutral nonlinear systems.
Keywords :
Lyapunov methods; asymptotic stability; delays; nonlinear systems; ISS type; Lyapunov-Krasovskii functionals; a backstepping design; delay; globally Lipschitz vector field; iISS type; neutral nonlinear systems; robustness analysis; stability analysis technique; stabilizing control laws; Asymptotic stability; Backstepping; Delay; Nonlinear systems; Robustness; Stability analysis; Trajectory;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6314623