Approximation and stabilization of distributed systems by lumped systems

M. Vidyasagar; B. D.O. Anderson

doi:10.1016/0167-6911(89)90001-7

Approximation and stabilization of distributed systems by lumped systems

M. Vidyasagar^*, B. D.O. Anderson

^*Corresponding author for this work

School of Engineering

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

22 Citations (Scopus)

Abstract

In this note we study two questions regarding linear time-invariant distributed systems, namely: (1) When can the given system be approximated by a lumped system? (2) When can the given system be stabilized by a lumped system? In each case we obtain a complete answer to the question in terms of the behaviour of the purely atomic parts of the stable numerator and denominator of the plant.

Original language	English
Pages (from-to)	95-101
Number of pages	7
Journal	Systems and Control Letters
Volume	12
Issue number	2
DOIs	https://doi.org/10.1016/0167-6911(89)90001-7
Publication status	Published - Feb 1989

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10.1016/0167-6911(89)90001-7

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title = "Approximation and stabilization of distributed systems by lumped systems",

abstract = "In this note we study two questions regarding linear time-invariant distributed systems, namely: (1) When can the given system be approximated by a lumped system? (2) When can the given system be stabilized by a lumped system? In each case we obtain a complete answer to the question in terms of the behaviour of the purely atomic parts of the stable numerator and denominator of the plant.",

keywords = "Distributed systems, lumped controllers, stable factorizations",

author = "M. Vidyasagar and Anderson, {B. D.O.}",

year = "1989",

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T1 - Approximation and stabilization of distributed systems by lumped systems

AU - Vidyasagar, M.

AU - Anderson, B. D.O.

PY - 1989/2

Y1 - 1989/2

N2 - In this note we study two questions regarding linear time-invariant distributed systems, namely: (1) When can the given system be approximated by a lumped system? (2) When can the given system be stabilized by a lumped system? In each case we obtain a complete answer to the question in terms of the behaviour of the purely atomic parts of the stable numerator and denominator of the plant.

AB - In this note we study two questions regarding linear time-invariant distributed systems, namely: (1) When can the given system be approximated by a lumped system? (2) When can the given system be stabilized by a lumped system? In each case we obtain a complete answer to the question in terms of the behaviour of the purely atomic parts of the stable numerator and denominator of the plant.

KW - Distributed systems

KW - lumped controllers

KW - stable factorizations

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U2 - 10.1016/0167-6911(89)90001-7

DO - 10.1016/0167-6911(89)90001-7

M3 - Article

AN - SCOPUS:0024608493

SN - 0167-6911

VL - 12

SP - 95

EP - 101

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

Approximation and stabilization of distributed systems by lumped systems

Abstract

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