On the discrete Riccati equation and its applications to discrete Hamiltonian systems

DOI10.1216/rmjm/1181072275zbMath0836.39003OpenAlexW1989154070MaRDI QIDQ1898304

Pengxiang Yan, Lynn H. Erbe

Publication date: 17 September 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072275

zbMATH Keywords

optimal controlcomparison theoremsRiccati equationautonomous systemsdisconjugacydiscrete Hamiltonian vector difference systemsdiscrete Riccati systemsHamiltonian solution

Mathematics Subject Classification ID

Controllability (93B05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items

Oscillation of symplectic dynamic systems, Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey, Disconjugacy and transformations for symplectic systems, Discrete linear Hamiltonian eigenvalue problems, Recursion formulae for the characteristic polynomial of symmetric banded matrices, Recessive solutions for nonoscillatory discrete symplectic systems, On stability zones for discrete-time periodic linear Hamiltonian systems, A Sturmian theorem for recessive solutions of linear Hamiltonian difference systems, Inequalities and asymptotics for Riccati matrix difference operators

Cites Work

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• Disconjugacy
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• Higher order Wirtinger inequalities
• Weighted Averaging Techniques in Oscillation Theory for Second Order Difference Equations
• Continued Fraction Representations of Maximal and Minimal Solutions of a Discrete Matrix Riccati Equation