Simultaneous stabilization of countable families of nonlinear systems by means of continuous feedback

Ho-Mock-Qai, Bertina; Dayawansa, W.P.

doi:10.1109/cdc.1996.574241

Cited by 6 publications

(1 citation statement)

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“…Then, in order to obtain a feedback law u k 0 which robustly asymptotically stabilizes the entire family fSg; g A Gg, we``piece'' together u À k 0 and u k 0 , using an interpolation method which was introduced in [8] for the simultaneous stabilization of countable families of systems.…”

Section: Robust Stabilization When a á Is Positive And The Sign Of B mentioning

confidence: 99%

Nonsmooth Robust Stabilization of a Class of Two-Dimensional Nonlinear Systems

Ho-Mock-Qai¹

1999

Math. Control Signals Systems

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In this paper we consider a class of parameterized families of nonlinear systems which cannot be robustly asymptotically stabilized by means of C 1 feedback. We construct C 0 state feedback laws which are smooth away from the origin and which robustly asymptotically stabilize these families of systems. We then show that, in some cases, the regularity of the obtained robust asymptotic stabilizers is``maximum'' in the sense that the considered families of systems do not admit any Lipschitz continuous robust asymptotic stabilizer.

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Section: Robust Stabilization When a á Is Positive And The Sign Of B mentioning

confidence: 99%