Input-to-state stability with respect to inputs and their derivatives

David Angeli; Eduardo D. Sontag; Yuan Wang

doi:https://doi.org/10.1002/rnc.753

Input-to-state stability with respect to inputs and their derivatives

David Angeli, Eduardo D. Sontag, Yuan Wang

Rutgers, The State University

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

24 Scopus citations

Abstract

A new notion of input-to-state stability involving infinity norms of input derivatives up to a finite order k is introduced and characterized. An example shows that this notion of stability is indeed weaker than the usual ISS. Applications to the study of global asymptotic stability of cascaded non-linear systems are discussed.

Original language	American English
Pages (from-to)	1035-1056
Number of pages	22
Journal	International Journal of Robust and Nonlinear Control
Volume	13
Issue number	11
DOIs	https://doi.org/10.1002/rnc.753
State	Published - Sep 2003

ASJC Scopus subject areas

Control and Systems Engineering
Chemical Engineering(all)
Biomedical Engineering
Aerospace Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

Keywords

Cascaded systems
Dissipative systems
Input-to-state stability
Lyapunov methods

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https://doi.org/10.1002/rnc.753

Cite this

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title = "Input-to-state stability with respect to inputs and their derivatives",

abstract = "A new notion of input-to-state stability involving infinity norms of input derivatives up to a finite order k is introduced and characterized. An example shows that this notion of stability is indeed weaker than the usual ISS. Applications to the study of global asymptotic stability of cascaded non-linear systems are discussed.",

keywords = "Cascaded systems, Dissipative systems, Input-to-state stability, Lyapunov methods",

author = "David Angeli and Sontag, {Eduardo D.} and Yuan Wang",

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AU - Angeli, David

AU - Sontag, Eduardo D.

AU - Wang, Yuan

PY - 2003/9

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N2 - A new notion of input-to-state stability involving infinity norms of input derivatives up to a finite order k is introduced and characterized. An example shows that this notion of stability is indeed weaker than the usual ISS. Applications to the study of global asymptotic stability of cascaded non-linear systems are discussed.

AB - A new notion of input-to-state stability involving infinity norms of input derivatives up to a finite order k is introduced and characterized. An example shows that this notion of stability is indeed weaker than the usual ISS. Applications to the study of global asymptotic stability of cascaded non-linear systems are discussed.

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KW - Dissipative systems

KW - Input-to-state stability

KW - Lyapunov methods

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JF - International Journal of Robust and Nonlinear Control

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ER -

Input-to-state stability with respect to inputs and their derivatives

Abstract

ASJC Scopus subject areas

Keywords

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