Sundareshan, M. K. ; Thathachar, M. A. L. (1973) Extended time-frequency conditions for the instability of a class of non-linear time-varying systems International Journal of Systems Science, 4 (4). pp. 517-526. ISSN 0020-7721
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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0020772...
Related URL: http://dx.doi.org/10.1080/00207727308920033
Abstract
This paper presents new criteria for the L 2-input, L2-output stability of a class of feedback systems containing a time-invariant convolution operator and a time varying non-linearity in cascade, in a negative feedback loop. These are sufficient conditions for the system stability derived using the multiplier concept and involve certain time-domain conditions on the multiplier. The method of derivation draws on the theory of positivity of compositions of operators and time-varying gains and necessitates an upper bound on the rate of variation of the time-varying gain.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Group. |
| ID Code: | 51361 |
| Deposited On: | 28 Jul 2011 11:55 |
| Last Modified: | 28 Jul 2011 11:55 |
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