On Homogeneous Distributed Parameter Systems

Andrey Polyakov; Denis Efimov; Emilia Fridman; Wilfrid Perruquetti

doi: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

Access to Document

10.1109/TAC.2016.2525925

Cite this

@article{20eca78ffaec40c5a75c77535e5e5a1a,

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 = "10.1109/TAC.2016.2525925",

language = "الإنجليزيّة",

volume = "61",

pages = "3657--3662",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

number = "11",

}

TY - JOUR

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 - 10.1109/TAC.2016.2525925

DO - 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

Access to Document

Other files and links

Fingerprint

Cite this