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A frequency domain condition for stability of interconnected MIMO systems

Gattami, Ather LU and Murray, R (2004) American Control Conference, 2004 In Proceedings of the 2004 American Control Conference p.3723-3728
Abstract
Analysis of interconnected dynamical systems is considered. A framework for the analysis of stability of the interconnection is given. The results of Fax and Murray that studies the SISO-case for a constant interconnection matrix are generalized to the MIMO-case where arbitrary interconnection is allowed. The analysis shows the existence of a separation principle that is very useful in the sense of the simplicity for stability analysis. Stability could be checked graphically using a Nyquist-like criterion. The problem with time-delays and interconnection variation and robustness appear to be natural special cases of the general framework, and hence, simple stability criteria are derived easily
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
interconnection matrix, SISO system, interconnected dynamical system analysis, interconnected MIMO systems, frequency domain analysis, stability criteria, time delays, robustness, graph theory, stability analysis, Nyquist like criterion
in
Proceedings of the 2004 American Control Conference
pages
3723 - 3728
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
conference name
American Control Conference, 2004
external identifiers
  • WOS:000224688300633
  • Scopus:8744255340
ISBN
0-7803-8335-4
language
English
LU publication?
yes
id
4146fa4b-8622-48b8-be76-85bfe079de3f (old id 613473)
alternative location
http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=1384491
date added to LUP
2007-11-26 18:41:29
date last changed
2016-12-04 04:44:35
@misc{4146fa4b-8622-48b8-be76-85bfe079de3f,
  abstract     = {Analysis of interconnected dynamical systems is considered. A framework for the analysis of stability of the interconnection is given. The results of Fax and Murray that studies the SISO-case for a constant interconnection matrix are generalized to the MIMO-case where arbitrary interconnection is allowed. The analysis shows the existence of a separation principle that is very useful in the sense of the simplicity for stability analysis. Stability could be checked graphically using a Nyquist-like criterion. The problem with time-delays and interconnection variation and robustness appear to be natural special cases of the general framework, and hence, simple stability criteria are derived easily},
  author       = {Gattami, Ather and Murray, R},
  isbn         = {0-7803-8335-4},
  keyword      = {interconnection matrix,SISO system,interconnected dynamical system analysis,interconnected MIMO systems,frequency domain analysis,stability criteria,time delays,robustness,graph theory,stability analysis,Nyquist like criterion},
  language     = {eng},
  pages        = {3723--3728},
  publisher    = {ARRAY(0xb3534c0)},
  series       = {Proceedings of the 2004 American Control Conference},
  title        = {A frequency domain condition for stability of interconnected MIMO systems},
  year         = {2004},
}