Genera of conjoined bases for (non)oscillatory linear Hamiltonian systems: extended theory
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Publication:785366
DOI10.1007/s10884-019-09810-wzbMath1447.37086OpenAlexW2985646508MaRDI QIDQ785366
Publication date: 6 August 2020
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-019-09810-w
controllabilitylinear Hamiltonian systemorthogonal projectorgenus of conjoined basesRiccati differential equation
Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical systems in control (37N35)
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Riccati equations for linear Hamiltonian systems without controllability condition ⋮ Weak disconjugacy, weak controllability, and genera of conjoined bases for linear Hamiltonian systems
Cites Work
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- Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control
- Comparative index and Sturmian theory for linear Hamiltonian systems
- Some remarks concerning weakly disconjugate linear Hamiltonian systems
- Comparison theorems for conjoined bases of linear Hamiltonian differential systems and the comparative index
- Sturmian theory for ordinary differential equations
- Riccati equations for linear Hamiltonian systems without controllability condition
- Generalized inverses. Theory and applications.
- Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
- On general Sturmian theory for abnormal linear Hamiltonian systems
- Principal solutions at infinity of given ranks for nonoscillatory linear Hamiltonian systems
- Principal solutions of nonoscillatory linear differential systems
- Principal and antiprincipal solutions at infinity of linear Hamiltonian systems
- Disconjugacy
- Riccati differential equations
- Discrete and continuous boundary problems
- Reid’s Construction of Minimal Principal Solution at Infinity for Linear Hamiltonian Systems
- Sturmian theory for linear Hamiltonian systems without controllability
- Primer on Optimal Control Theory
- DEFINITENESS OF QUADRATIC FUNCTIONALS
- Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems
- Generalized Inverses of Linear Transformations
- Genera of conjoined bases of linear Hamiltonian systems and limit characterization of principal solutions at infinity
