Sundareshan, M. ; Vidyasagar, M. (1977) L2-stability of large-scale dynamical systems: criteria via positive operator theory IEEE Transactions on Automatic Control, 22 (3). pp. 396-399. ISSN 0018-9286
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Official URL: http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arn...
Related URL: http://dx.doi.org/10.1109/TAC.1977.1101536
Abstract
A new approach to the L2-stability analysis of large-scale dynamical systems, described as interconnections of several subsystems, is presented. By conducting this study within the framework of positive operator theory, stability criteria, which impose explicit and distinct conditions on the subsystems and the interconnections, are obtained. Some strong points of the main result of the paper are: 1) it is simpler to apply than the existing results and 2) it specializes to the classical "positivity theorem" for the case of single-loop negative feedback systems. Modifications of this result which permit the use of arbitrary multipliers are also outlined.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to IEEE. |
| ID Code: | 56154 |
| Deposited On: | 22 Aug 2011 12:34 |
| Last Modified: | 22 Aug 2011 12:34 |
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