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When is a linear convolution system stabilizable? |
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| Authors: | P M Mkil |
| Affiliation: | Automation and Control Institute, Tampere University of Technology, P.O. Box 692, Fin-33101, Tampere, Finland |
| Abstract: | Lack of operator closedness and closability arguments are used to discuss the impossibility of finite ?p/Lp gain stabilization of unstable finite-dimensional linear (convolution operator) systems in the doubly infinite time-axis case for any 1 p∞. The presented analysis generalizes and refines a result due to Georgiou and Smith (IEEE Trans. Automat. Control 40 (1995) 516) for the L2(?∞,∞) setting. |
| Keywords: | Closability Closure Convolution operators Stabilizability |
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