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L2-stability of distributed feedback systems: singular perturbation
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Barman, J. F. Desoer, C. A. Callier, F. M. |
| Copyright Year | 1972 |
| Description | A continuous time, single input-single output, linear, time-invariant, distributed feedback system F sup epsilon, containing a small delay of length epsilon in the loop, is considered. Conditions are given under which L2-stability and L2-instability of this feedback system can be deduced from those of the reduced model obtained by neglecting the delay. The two system models associated with F sup epsilon are the low-frequency model F and the high frequency model F. The condition for neglecting the small delay is the L2-stability of the family of high-frequency models, where epsilon or = 0 is sufficiently small. A lemma and a theorem are given. The lemma gives sharp Nyquist-type conditions for the L2-stability and L2-instability of the family of high frequency models for sufficiently small epsilon or = 0, while the Theorem gives explicit conditions under which the small delay may or may not be neglected. |
| File Size | 170329 |
| Page Count | 7 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19730003518 |
| Archival Resource Key | ark:/13960/t45q9pp5r |
| Language | English |
| Publisher Date | 1972-01-01 |
| Access Restriction | Open |
| Subject Keyword | Electronics Linear Systems Stability Feedback Circuits Theorem Proving Cascade Control Delay Circuits High Frequencies Low Frequencies Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
