Sundareshan, Malur K. ; Thathachar, M. A. L. (1972) L2-Stability of linear time-varying systems-conditions involving noncausal multipliers IEEE Transactions on Automatic Control, 17 (4). pp. 504-510. ISSN 0018-9286
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Official URL: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumb...
Related URL: http://dx.doi.org/10.1109/TAC.1972.1100082
Abstract
New criteria in the multiplier form are presented for the input-output stability in the L2-space of a linear system with a time-varying elementk(t)in a feedback loop. These are sufficient conditions for the system stability and involve conditions on the shifted imaginary-axis behavior of the multipliers. The criteria permit the use of noncausal multipliers, and it is shown that this necessitatesdk/dtto be bounded from above as well as from below. The method of derivation draws on the theory of positivity of compositions of operators and time-varying gain, and the results are shown to be more general than the existing criteria.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to IEEE. |
| ID Code: | 51345 |
| Deposited On: | 28 Jul 2011 11:55 |
| Last Modified: | 28 Jul 2011 11:55 |
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