A frequency domain condition for stability of interconnected MIMO systems
(2004) American Control Conference, 2004 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
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/613473
- author
- Gattami, Ather LU and Murray, R
- organization
- publishing date
- 2004
- 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
- host publication
- 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
- conference location
- Boston, MA, United States
- conference dates
- 2004-06-30 - 2004-07-02
- 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
- 2016-04-04 11:37:21
- date last changed
- 2022-03-15 23:36:38
@inproceedings{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}}, booktitle = {{Proceedings of the 2004 American Control Conference}}, isbn = {{0-7803-8335-4}}, 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}}, language = {{eng}}, pages = {{3723--3728}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{A frequency domain condition for stability of interconnected MIMO systems}}, url = {{http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=1384491}}, year = {{2004}}, }