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CDC
2010
IEEE

Stability robustness in the presence of exponentially unstable isolated equilibria

10 years 7 months ago
Stability robustness in the presence of exponentially unstable isolated equilibria
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 eigenvalue with positive real part, 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-toState stability.
David Angeli, Laurent Praly
Added 13 May 2011
Updated 13 May 2011
Type Journal
Year 2010
Where CDC
Authors David Angeli, Laurent Praly
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