Lyapunov inequalities and stability for discrete linear Hamiltonian systems |
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| Authors: | Qi-ming Zhang |
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| Affiliation: | 1. School of Mathematical Sciences and Computing Technology, Central South University , Changsha, Hunan , P.R. China;2. College of Science, Hunan University of Technology , Zhuzhou, Hunan , P.R. China |
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| Abstract: | In this paper, we establish several new Lyapunov-type inequalities for discrete linear Hamiltonian systems when the end-points are not necessarily usual zeros, but rather, generalized zeros, which generalize and improve almost all related existing ones. Applying these inequalities, an optimal stability criterion is obtained. |
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| Keywords: | discrete Hamiltonian system Lyapunov inequality genera1lized zero stability |
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