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Conference papers
Stability Robustness in the presence of exponentially unstable isolated equilibria
Abstract : This note studies nonlinear systems evolving on manifolds with a finite number of asymptotically stable equi- libria 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-to- State stability.
Cited literature [15 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-00554432
Contributor : François Chaplais <>
Submitted on : Monday, January 10, 2011 - 6:53:23 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Monday, April 11, 2011 - 4:34:13 PM
Contributor : François Chaplais <>
Submitted on : Monday, January 10, 2011 - 6:53:23 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Monday, April 11, 2011 - 4:34:13 PM
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