Lyapunov inequalities for discrete linear Hamiltonian systems
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Date
2003
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Publisher
Pergamon-elsevier Science Ltd
Open Access Color
HYBRID
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No
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Abstract
In this paper, we present some Lyapunov type inequalities for discrete linear scalar Hamiltonian systems when the coefficient c(t) is not necessarily nonnegative valued and when the end-points are not necessarily usual zeros, but rather, generalized zeros. Applying these inequalities, we obtain some disconjugacy and stability criteria for discrete Hamiltonian systems. (C) 2003 Elsevier Science Ltd. All rights reserved.
Description
Keywords
Hamiltonian system, Lyapunov inequality, generalized zero, disconjugacy, stability, Stability of difference equations, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, stability, Disconjugacy, Stability problems for finite-dimensional Hamiltonian and Lagrangian systems, Computational Mathematics, Discrete-time control/observation systems, generalized zero, disconjugacy, Computational Theory and Mathematics, Modelling and Simulation, Generalized zero, Lyapunov inequality, Discrete version of topics in analysis, Hamiltonian system, Stability
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Fields of Science
01 natural sciences, 0101 mathematics
Citation
WoS Q
Q1
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OpenCitations Citation Count
73
Source
Computers & Mathematics with Applications
Volume
45
Issue
6-9
Start Page
1399
End Page
1416
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Citations
CrossRef : 60
Scopus : 86
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