Exponential stability of triangular differential inclusion systems

Nir Cohen; Izchak Lewkowicz; Leiba Rodman

doi:10.1016/S0167-6911(97)00004-2

Exponential stability of triangular differential inclusion systems

Nir Cohen
, Izchak Lewkowicz
, Leiba Rodman

School of Electrical and Computer Engineering

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

12 Scopus citations

Abstract

We consider a differential inclusion system of the form ẋ ∈ script A signx, where script A sign is a collection of upper triangular matrices. Conditions for exponential stability of all the possible solutions are given.

Original language	English
Pages (from-to)	159-164
Number of pages	6
Journal	Systems and Control Letters
Volume	30
Issue number	4
DOIs	https://doi.org/10.1016/S0167-6911(97)00004-2
State	Published - 1 Jan 1997

Keywords

Differential inclusions
Exponential stability
Triangular systems

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/S0167-6911(97)00004-2

Cite this

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title = "Exponential stability of triangular differential inclusion systems",

abstract = "We consider a differential inclusion system of the form ẋ ∈ script A signx, where script A sign is a collection of upper triangular matrices. Conditions for exponential stability of all the possible solutions are given.",

keywords = "Differential inclusions, Exponential stability, Triangular systems",

author = "Nir Cohen and Izchak Lewkowicz and Leiba Rodman",

note = "Funding Information: * Corresponding author. E-mail: [email protected]. 1 The research of this author is supported by the CNPq Grant 300019/96-3, 2 The research of this author is partially supported by the NSF Grant DMS-9500924 and by the United States-Israel BSF Grant 9400271.",

year = "1997",

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doi = "10.1016/S0167-6911(97)00004-2",

language = "English",

volume = "30",

pages = "159--164",

journal = "Systems and Control Letters",

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publisher = "Elsevier B.V.",

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T1 - Exponential stability of triangular differential inclusion systems

AU - Cohen, Nir

AU - Lewkowicz, Izchak

AU - Rodman, Leiba

N1 - Funding Information: * Corresponding author. E-mail: [email protected]. 1 The research of this author is supported by the CNPq Grant 300019/96-3, 2 The research of this author is partially supported by the NSF Grant DMS-9500924 and by the United States-Israel BSF Grant 9400271.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - We consider a differential inclusion system of the form ẋ ∈ script A signx, where script A sign is a collection of upper triangular matrices. Conditions for exponential stability of all the possible solutions are given.

AB - We consider a differential inclusion system of the form ẋ ∈ script A signx, where script A sign is a collection of upper triangular matrices. Conditions for exponential stability of all the possible solutions are given.

KW - Differential inclusions

KW - Exponential stability

KW - Triangular systems

UR - https://www.scopus.com/pages/publications/0031140499

U2 - 10.1016/S0167-6911(97)00004-2

DO - 10.1016/S0167-6911(97)00004-2

M3 - Article

AN - SCOPUS:0031140499

SN - 0167-6911

VL - 30

SP - 159

EP - 164

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 4

ER -

Exponential stability of triangular differential inclusion systems

Abstract

Keywords

ASJC Scopus subject areas

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