When is a linear convolution system stabilizable?

✍ Scribed by P.M Mäkilä

• Book ID: 104300501
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 126 KB
• Volume: 46
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(02)00161-5

✦ Synopsis

Lack of operator closedness and closability arguments are used to discuss the impossibility of ÿnite 'p=Lp gain stabilization of unstable ÿnite-dimensional linear (convolution operator) systems in the doubly inÿnite time-axis case for any 1 6 p 6 ∞. The presented analysis generalizes and reÿnes a result due to Georgiou and Smith (IEEE Trans. Automat. Control 40 (1995) 516) for the L2(-∞; ∞) setting.