On characterizations of the input-to-state stability property

Eduardo D. Sontag; Yuan Wang

doi:10.1016/0167-6911(94)00050-6

On characterizations of the input-to-state stability property

Eduardo D. Sontag, Yuan Wang

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

1311 Scopus citations

Abstract

We show that the well-known Lyapunov sufficient condition for "input-to-state stability" (ISS) is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided.

Original language	English (US)
Pages (from-to)	351-359
Number of pages	9
Journal	Systems and Control Letters
Volume	24
Issue number	5
DOIs	https://doi.org/10.1016/0167-6911(94)00050-6
State	Published - Apr 10 1995

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science(all)
Mechanical Engineering
Electrical and Electronic Engineering

Keywords

Input/state stability
Lyapunov function techniques
Nonlinear stability

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10.1016/0167-6911(94)00050-6

Cite this

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title = "On characterizations of the input-to-state stability property",

abstract = "We show that the well-known Lyapunov sufficient condition for {"}input-to-state stability{"} (ISS) is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided.",

keywords = "Input/state stability, Lyapunov function techniques, Nonlinear stability",

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

note = "Funding Information: *Corresponding author. E-mail: sontag@hilbert.rutgers.edu ywang@polya.math.fau.edu. 1S upported in part by US Air Force Grant AFOSR-91-0346. 2 Supported in part by NSF Grant DMS-9108250.",

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doi = "10.1016/0167-6911(94)00050-6",

language = "English (US)",

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T1 - On characterizations of the input-to-state stability property

AU - Sontag, Eduardo D.

AU - Wang, Yuan

N1 - Funding Information: *Corresponding author. E-mail: sontag@hilbert.rutgers.edu ywang@polya.math.fau.edu. 1S upported in part by US Air Force Grant AFOSR-91-0346. 2 Supported in part by NSF Grant DMS-9108250.

PY - 1995/4/10

Y1 - 1995/4/10

N2 - We show that the well-known Lyapunov sufficient condition for "input-to-state stability" (ISS) is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided.

AB - We show that the well-known Lyapunov sufficient condition for "input-to-state stability" (ISS) is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided.

KW - Input/state stability

KW - Lyapunov function techniques

KW - Nonlinear stability

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U2 - 10.1016/0167-6911(94)00050-6

DO - 10.1016/0167-6911(94)00050-6

M3 - Article

AN - SCOPUS:0029288045

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VL - 24

SP - 351

EP - 359

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 5

ER -

On characterizations of the input-to-state stability property

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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