Name
Abstract | ||
|---|---|---|
This note studies nonlinear systems evolving on manifolds with a finite number of asymptotically stable equilibria and a Lyapunov function which strictly decreases outside equilibrium points. If the linearizations at unstable equilibria have at least one positive eigenvalue, then almost global asymptotic stability turns out to be robust with respect to sufficiently small disturbances in the L∞ norm. Applications of this result are shown in the study of almost global Input-to-State stability. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/TAC.2010.2091170 | Automatic Control, IEEE Transactions |
Keywords | Field | DocType |
lyapunov methods,asymptotic stability,linearisation techniques,nonlinear control systems,robust control,lyapunov function,eigenvalue,exponentially unstable isolated equilibria,global asymptotic stability robustness,global input-to-state stability,linearizations,nonlinear systems,outside equilibrium points,almost global stability,gradient-like systems,input-to-state stability,integral manifolds,nonlinear systems on manifolds,nonlinear system,equilibrium point,robustness,eigenvalues,manifolds,stability analysis | Lyapunov function,Mathematical optimization,Nonlinear control,Control theory,Mathematical analysis,Equilibrium point,Exponential stability,Robust control,Linearization,Manifold,Mathematics,Stability theory | Conference |
Volume | Issue | ISSN |
56 | 7 | 0018-9286 |
Citations | PageRank | References |
11 | 0.67 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| David Angeli | 1 | 1264 | 153.03 |
| Praly, L. | 2 | 1835 | 364.39 |