| タイトル | Lp-stability (1 less than or equal to p less than or equal to infinity) of multivariable nonlinear time-varying feedback systems that are open-loop unstable |
| 本文（外部サイト） | http://hdl.handle.net/2060/19740010116 |
| 著者（英） | Callier, F. M.; Desoer, C. A. |
| 著者所属（英） | California Univ. |
| 発行日 | 1973-01-01 |
| 言語 | eng |
| 内容記述 | A class of multivariable, nonlinear time-varying feedback systems with an unstable convolution subsystem as feedforward and a time-varying nonlinear gain as feedback was considered. The impulse response of the convolution subsystem is the sum of a finite number of increasing exponentials multiplied by nonnegative powers of the time t, a term that is absolutely integrable and an infinite series of delayed impulses. The main result is a theorem. It essentially states that if the unstable convolution subsystem can be stabilized by a constant feedback gain F and if incremental gain of the difference between the nonlinear gain function and F is sufficiently small, then the nonlinear system is L(p)-stable for any p between one and infinity. Furthermore, the solutions of the nonlinear system depend continuously on the inputs in any L(p)-norm. The fixed point theorem is crucial in deriving the above theorem. |
| NASA分類 | MATHEMATICS |
| レポートNO | 74N18229
NASA-CR-137097 |
| 権利 | No Copyright |
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