On asympotic behavior of solutions to several classes of discrete dynamical systems |
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| Authors: | Xiaoxin Liao |
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| Affiliation: | Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | In this paper, a new complete and simplified proof for the Husainov-Nikiforova Theorem is given. Then this theorem is generalized to the case where the coefficients may have different signs as well as nonlinear systems. By these results, the robust stability and the bound for robustness for high-order interval discrete dynamical systems are studied, which can be applied to designing stable discrete control system as well as stabilizing a given unstable control system. |
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| Keywords: | discrete dynamical systems characteristic equation Hurwitz stability Schur stability robustness |
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