On Homogeneous Distributed Parameter Systems

Andrey Polyakov; Denis Efimov; Emilia Fridman; Wilfrid Perruquetti

doi:https://doi.org/10.1109/TAC.2016.2525925

On Homogeneous Distributed Parameter Systems

Andrey Polyakov, Denis Efimov, Emilia Fridman, Wilfrid Perruquetti

School of Electrical Engineering

Tel Aviv University

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

Abstract

A geometric homogeneity is introduced for evolution equations in a Banach space. Scalability property of solutions of homogeneous evolution equations is proven. Some qualitative characteristics of stability of trivial solution are also provided. In particular, finite-time stability of homogeneous evolution equations is studied. Theoretical results are illustrated on important classes of partial differential equations.

Original language	English
Article number	7399345
Pages (from-to)	3657-3662
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	61
Issue number	11
DOIs	https://doi.org/10.1109/TAC.2016.2525925
State	Published - Nov 2016

Keywords

Distributed parameter systems
nonlinear dynamical systems
stability analysis

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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https://doi.org/10.1109/TAC.2016.2525925

Cite this

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title = "On Homogeneous Distributed Parameter Systems",

abstract = "A geometric homogeneity is introduced for evolution equations in a Banach space. Scalability property of solutions of homogeneous evolution equations is proven. Some qualitative characteristics of stability of trivial solution are also provided. In particular, finite-time stability of homogeneous evolution equations is studied. Theoretical results are illustrated on important classes of partial differential equations.",

keywords = "Distributed parameter systems, nonlinear dynamical systems, stability analysis",

author = "Andrey Polyakov and Denis Efimov and Emilia Fridman and Wilfrid Perruquetti",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.",

year = "2016",

month = nov,

doi = "https://doi.org/10.1109/TAC.2016.2525925",

language = "الإنجليزيّة",

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pages = "3657--3662",

journal = "IEEE Transactions on Automatic Control",

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T1 - On Homogeneous Distributed Parameter Systems

AU - Polyakov, Andrey

AU - Efimov, Denis

AU - Fridman, Emilia

AU - Perruquetti, Wilfrid

PY - 2016/11

Y1 - 2016/11

N2 - A geometric homogeneity is introduced for evolution equations in a Banach space. Scalability property of solutions of homogeneous evolution equations is proven. Some qualitative characteristics of stability of trivial solution are also provided. In particular, finite-time stability of homogeneous evolution equations is studied. Theoretical results are illustrated on important classes of partial differential equations.

AB - A geometric homogeneity is introduced for evolution equations in a Banach space. Scalability property of solutions of homogeneous evolution equations is proven. Some qualitative characteristics of stability of trivial solution are also provided. In particular, finite-time stability of homogeneous evolution equations is studied. Theoretical results are illustrated on important classes of partial differential equations.

KW - Distributed parameter systems

KW - nonlinear dynamical systems

KW - stability analysis

UR - http://www.scopus.com/inward/record.url?scp=84994820037&partnerID=8YFLogxK

U2 - https://doi.org/10.1109/TAC.2016.2525925

DO - https://doi.org/10.1109/TAC.2016.2525925

M3 - مقالة

SN - 0018-9286

VL - 61

SP - 3657

EP - 3662

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 11

M1 - 7399345

ER -

On Homogeneous Distributed Parameter Systems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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