Global asymptotic controllability implies input-to-state stabilization

Michael Malisoff; Ludovic Rifford; Eduardo Sontag

doi:10.1137/S0363012903422333

Global asymptotic controllability implies input-to-state stabilization

Michael Malisoff, Ludovic Rifford, Eduardo Sontag

Research output: Contribution to journal › Review article › peer-review

41 Scopus citations

Abstract

The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed-loop systems input-to-state stable (ISS) with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors are also discussed. Our controllers have the property that they tolerate small observation noise as well.

Original language	English (US)
Pages (from-to)	2221-2238
Number of pages	18
Journal	SIAM Journal on Control and Optimization
Volume	42
Issue number	6
DOIs	https://doi.org/10.1137/S0363012903422333
State	Published - 2004

All Science Journal Classification (ASJC) codes

Control and Optimization
Applied Mathematics

Keywords

Asymptotic controllability
Input-to-state stability
Lyapunov functions
Nonsmooth analysis

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10.1137/S0363012903422333

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abstract = "The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed-loop systems input-to-state stable (ISS) with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors are also discussed. Our controllers have the property that they tolerate small observation noise as well.",

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AU - Rifford, Ludovic

AU - Sontag, Eduardo

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AB - The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed-loop systems input-to-state stable (ISS) with respect to actuator errors. Extensions for fully nonlinear GAC systems with actuator errors are also discussed. Our controllers have the property that they tolerate small observation noise as well.

KW - Asymptotic controllability

KW - Input-to-state stability

KW - Lyapunov functions

KW - Nonsmooth analysis

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M3 - Review article

AN - SCOPUS:10244242681

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JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 6

ER -

Global asymptotic controllability implies input-to-state stabilization

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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