A Note on the Genericity of Simultaneous Stabilizability and Pole Assignability

Vidyasagar, M and Levy, BC and Viswanadham, N (1986) A Note on the Genericity of Simultaneous Stabilizability and Pole Assignability. In: Circuits, Systems, and Signal Processing, 5 (3). 371 -387.

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Abstract

n this paper we study the genericity of simultaneous stabilizability, simultaneous strong stabilizability, and simultaneous pole assignability, in linear multivariable systems. The main results of the paper had been previously established by Ghosh and Byrnes using state-space methods. In contrast, the proofs in the present paper are based on input-output arguments, and are much simpler to follow, especially in the case of simultaneous and simultaneous strong stabilizability. Moreover, the input-output methods used here suggest computationally reliable algorithms for solving these two types of problems. In addition to the main results, we also prove some lemmas on generic greatest common divisors which are of independent interest.

Item Type:	Journal Article
Publication:	Circuits, Systems, and Signal Processing
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Electrical Sciences > Computer Science & Automation
Date Deposited:	06 Feb 2010 12:29
Last Modified:	19 Sep 2010 05:33
URI:	http://eprints.iisc.ac.in/id/eprint/20498

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