A solution of weakly delayed two-dimensional linear discrete systems with constant coefficients and multiple delays
x(k+1)=Ax(k)+∑l=1nBlx(k−ml),k≥0
is presented. In the system, n and mi, i = 1, …, n are positive integers, m1 < m2 < … <mn, A, Bi, i = 1, …, n are nonzero 2 × 2 constant matrices and x:{ −mn,…,∞ }→ℝ2 is a solution. Formulas for general solutions are derived. For k ≥ mn, these general solutions can also be derived by transforming general solutions of certain linear systems without delays.
Topics
Computational methods
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