Stability and paracontractivity of discrete linear inclusions

Vladimirov A, Elsner L, Beyn W-J (2000)
Linear Algebra and its Applications 312(1-3): 125-134.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We study stability properties of a finite set Sigma of n x n-matrices such as paracontractivity, BV- and left convergent products (LCPs)-stability, and their relations to each other. The conjecture on equivalence of paracontractivity and LCP-stability is proved. Moreover, we prove the equivalence of the uniform BV-stability and the property of vanishing length of steps of any trajectory of Sigma. (C) 2000 Elsevier Science Inc. All rights reserved.
Stichworte
bounded variation; discrete linear inclusion; paracontracting matrix; convergent product
Erscheinungsjahr
2000
Zeitschriftentitel
Linear Algebra and its Applications
Band
312
Ausgabe
1-3
Seite(n)
125-134
ISSN
0024-3795
Page URI
https://pub.uni-bielefeld.de/record/1619794

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Vladimirov A, Elsner L, Beyn W-J. Stability and paracontractivity of discrete linear inclusions. Linear Algebra and its Applications. 2000;312(1-3):125-134.
Vladimirov, A., Elsner, L., & Beyn, W. - J. (2000). Stability and paracontractivity of discrete linear inclusions. Linear Algebra and its Applications, 312(1-3), 125-134. doi:10.1016/S0024-3795(00)00094-X
Vladimirov, A., Elsner, L., and Beyn, W. - J. (2000). Stability and paracontractivity of discrete linear inclusions. Linear Algebra and its Applications 312, 125-134.
Vladimirov, A., Elsner, L., & Beyn, W.-J., 2000. Stability and paracontractivity of discrete linear inclusions. Linear Algebra and its Applications, 312(1-3), p 125-134.
A. Vladimirov, L. Elsner, and W.-J. Beyn, “Stability and paracontractivity of discrete linear inclusions”, Linear Algebra and its Applications, vol. 312, 2000, pp. 125-134.
Vladimirov, A., Elsner, L., Beyn, W.-J.: Stability and paracontractivity of discrete linear inclusions. Linear Algebra and its Applications. 312, 125-134 (2000).
Vladimirov, Alexander, Elsner, Ludwig, and Beyn, Wolf-Jürgen. “Stability and paracontractivity of discrete linear inclusions”. Linear Algebra and its Applications 312.1-3 (2000): 125-134.