Publication: Stability radii for implicit difference equations
3
Issued Date
2009-03-01
Resource Type
ISSN
17937183
17935571
17935571
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2-s2.0-84857566510
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Mahidol University
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SCOPUS
Bibliographic Citation
Asian-European Journal of Mathematics. Vol.2, No.1 (2009), 95-115
Suggested Citation
Benjawan Rodjanadid, Van Sanh Nguyen, Thu Ha Nguyen, Huu Du Nguyen Stability radii for implicit difference equations. Asian-European Journal of Mathematics. Vol.2, No.1 (2009), 95-115. doi:10.1142/S1793557109000091 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/27783
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Title
Stability radii for implicit difference equations
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Abstract
This paper is concerned with a formula of stability radii for a linear implicit difference equation (LIDEs for short) varying in time with index-1 under structured parameter perturbations. It is shown that the lp-real and complex stability radii of these systems coincide and they are given by a formula of input-output operators. The result is an extension of a previous result for time-varying ordinary differential equations [7]. © 2009 World Scientific Publishing Company.