Lyapunov inequalities and stability for discrete linear Hamiltonian systems |
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| Authors: | Qi-ming Zhang XH Tang |
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| Institution: | a School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, PR China
b College of Science, Hunan University of Technology, Zhuzhou 412007, Hunan, PR 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 Generalized zero Stability |
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