[HTML][HTML] Exponential stability of linear discrete systems with constant coefficients and single delay
J Diblík, DY Khusainov, J Baštinec… - Applied Mathematics …, 2016 - Elsevier
J Diblík, DY Khusainov, J Baštinec, AS Sirenko
Applied Mathematics Letters, 2016•ElsevierIn the paper the exponential stability and exponential estimation of the norm of solutions to a
linear system of difference equations with single delay x (k+ 1)= A x (k)+ B x (k− m), k= 0,
1,… is studied, where A, B are square constant matrices and m∈ N. New sufficient
conditions for exponential stability are derived using the method of Lyapunov functions.
Illustrative examples are given as well.
linear system of difference equations with single delay x (k+ 1)= A x (k)+ B x (k− m), k= 0,
1,… is studied, where A, B are square constant matrices and m∈ N. New sufficient
conditions for exponential stability are derived using the method of Lyapunov functions.
Illustrative examples are given as well.
In the paper the exponential stability and exponential estimation of the norm of solutions to a linear system of difference equations with single delay x (k+ 1)= A x (k)+ B x (k− m), k= 0, 1,… is studied, where A, B are square constant matrices and m∈ N. New sufficient conditions for exponential stability are derived using the method of Lyapunov functions. Illustrative examples are given as well.
Elsevier
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