Lyapunov inequalities and stability for discrete linear Hamiltonian systems

Qiming Zhang, Xianhua Tang · The Journal of Difference Equations and Applications · 2011

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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