Coefficient conditions for the asymptotic stability of solutions of systems of linear difference equations with continuous time and delay |
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Authors: | D G Korenevskii K Kaizer |
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Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev;(2) Cologne University, Cologne, Germany |
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Abstract: | We establish sufficient algebraic coefficient conditions for the asymptotic stability of solutions of systems of linear difference
equations with continuous time and delay in the case of a rational correlation between delays. We use (n
2 + m)-parameter Lyapunov functions (n is the dimension of the system of equations and m is the number of delays).
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 4, pp. 516–522, April, 1998.
This work was partially supported by the Joint Foundation of the Ukrainian Government and the Soros International Science
Foundation (grant No. K42199). |
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