On the Input-to-State Stability Property

Eduardo D. Sontag

doi:10.1016/S0947-3580(95)70005-X

On the Input-to-State Stability Property

Eduardo D. Sontag

Research output: Contribution to journal › Article › peer-review

300 Scopus citations

Abstract

The ‘input to state stability’ (ISS) property provides a natural framework in which to formulate notions of stability with respect to input perturbations. In this expository paper, we review various equivalent definitions expressed in stability, Lyapunov-theoretic, and dissipation terms. We sketch some applications to the stabilisation of cascades of systems and of linear systems subject to control saturation.

Original language	English (US)
Pages (from-to)	24-36
Number of pages	13
Journal	European Journal of Control
Volume	1
Issue number	1
DOIs	https://doi.org/10.1016/S0947-3580(95)70005-X
State	Published - 1995

All Science Journal Classification (ASJC) codes

Engineering(all)

Keywords

Cascades
Dissipation
Lyapunuv functions
Saturation
Stability

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10.1016/S0947-3580(95)70005-X

Cite this

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title = "On the Input-to-State Stability Property",

abstract = "The {\textquoteleft}input to state stability{\textquoteright} (ISS) property provides a natural framework in which to formulate notions of stability with respect to input perturbations. In this expository paper, we review various equivalent definitions expressed in stability, Lyapunov-theoretic, and dissipation terms. We sketch some applications to the stabilisation of cascades of systems and of linear systems subject to control saturation.",

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AB - The ‘input to state stability’ (ISS) property provides a natural framework in which to formulate notions of stability with respect to input perturbations. In this expository paper, we review various equivalent definitions expressed in stability, Lyapunov-theoretic, and dissipation terms. We sketch some applications to the stabilisation of cascades of systems and of linear systems subject to control saturation.

KW - Cascades

KW - Dissipation

KW - Lyapunuv functions

KW - Saturation

KW - Stability

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ER -

On the Input-to-State Stability Property

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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