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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. [noting unstable convolution subsystem forward control and time varying nonlinear feedback
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Desoer, C. A. Callier, F. M. |
| Copyright Year | 1973 |
| Description | 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. |
| File Size | 240906 |
| Page Count | 7 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19740010116 |
| Archival Resource Key | ark:/13960/t87h6c33z |
| Language | English |
| Publisher Date | 1973-01-01 |
| Access Restriction | Open |
| Subject Keyword | Nonlinear Feedback Systems Stability Time Dependence Nonlinear Equations Theorem Proving Feedforward Control Norms Convolution Integrals Banach Space Schauder Fixpoint Theorem Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
