Abstract
The stabilizability of linear, time-invariant, discrete-time systems by constant gain output feedback is formulated as a geometric problem in the ″companion parameter space″ . The properties of the stability domain in this parameter space are investigated. This leads, in addition to characterizing the class of systems stabilizable by output feedback, to some interesting results related to the robustness of output feedback, and to an application of integral geometry which shows the limitations of output feedback as a means for stabilizing linear discrete-time systems. The geometric approach utilized provides efficient computational techniques for both the recursive construction of the stability domain for systems of any order and solution of the problem of stabilizability of linear systems by output feedback.
| Original language | English |
|---|---|
| Pages | 380-387 |
| Number of pages | 8 |
| State | Published - 1976 |
| Event | Proc Annu Allerton Conf Circuit Syst Theory 14th - Monticello, IL, USA Duration: Sep 29 1976 → Oct 1 1976 |
Conference
| Conference | Proc Annu Allerton Conf Circuit Syst Theory 14th |
|---|---|
| City | Monticello, IL, USA |
| Period | 09/29/76 → 10/1/76 |
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