Venkatesh, Y. V. (1988) Riesz-Thorin theorem and lp-stability of nonlinear time-varying discrete systems Journal of Mathematical Analysis and Applications, 135 (2). pp. 627-643. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0022-247X(88)90177-1
Abstract
The interpolation theorem due to Riesz-Thorin is used along with Hölder's and Young's inequalities to derive some new conditions, more general than those in the literature, for the lp-stability (1 ≤ p ≤ ∞) of a class of nonlinear time-varying discrete systems represented by a time invariant linear discrete part G in feedback with a discrete nonlinear time-varying gain k(n)ϑ(·). These stability conditions are expressed in terms of a general multiplier (causal + anticausal) function and global upper and lower bounds on the normalized rate of growth, (k(n + 1)/k(n)), of the time-varying gain.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 57127 |
| Deposited On: | 26 Aug 2011 02:35 |
| Last Modified: | 26 Aug 2011 02:35 |
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