The Stability Cone for a Matrix Delay Difference Equation
We construct a stability cone, which allows us to analyze the stability of the matrix delay difference equation 𝑥𝑛=𝐴𝑥𝑛−1+𝐵𝑥𝑛−𝑘. We assume that 𝐴 and 𝐵 are 𝑚×𝑚 simultaneously triangularizable matrices. We construct 𝑚 points in ℝ3 which are functions of eigenvalues of matrices 𝐴, 𝐵 such that the equa...
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Main Authors: | M. M. Kipnis, V. V. Malygina |
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Format: | Article |
Language: | English |
Published: |
Wiley
2011-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2011/860326 |
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