Aizerman's problem for discrete systems

M. I. Gil'; Rigoberto Medina

doi:10.1080/0003681021000029927

Aizerman's problem for discrete systems

M. I. Gil', Rigoberto Medina

Department of Mathematics

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

6 Scopus citations

Abstract

Absolute stability conditions for nonlinear difference equations are derived. In particular, it is proved that equations with positive Green's functions (impulse responses) satisfy the generalized Aizerman conjecture.

Original language	English
Pages (from-to)	1367-1375
Number of pages	9
Journal	Applicable Analysis
Volume	81
Issue number	6
DOIs	https://doi.org/10.1080/0003681021000029927
State	Published - 1 Jan 2002

Keywords

Absolute Stability
Generalized Aizerman's Conjecture
Nonlinear Difference Equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/0003681021000029927

Cite this

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title = "Aizerman's problem for discrete systems",

abstract = "Absolute stability conditions for nonlinear difference equations are derived. In particular, it is proved that equations with positive Green's functions (impulse responses) satisfy the generalized Aizerman conjecture.",

keywords = "Absolute Stability, Generalized Aizerman's Conjecture, Nonlinear Difference Equations",

author = "Gil', {M. I.} and Rigoberto Medina",

year = "2002",

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KW - Absolute Stability

KW - Generalized Aizerman's Conjecture

KW - Nonlinear Difference Equations

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Aizerman's problem for discrete systems

Abstract

Keywords

ASJC Scopus subject areas

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