Dynamical methods for linear Hamiltonian systems with applications to control processes
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Publication:376313
DOI10.1007/s10884-013-9300-yzbMath1302.37014OpenAlexW2013031567MaRDI QIDQ376313
Rafael Obaya, Carmen Núñez, Russell A. Johnson
Publication date: 4 November 2013
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-013-9300-y
frequency and nonoscillation conditionsGrassmannian and Lagrangian flowsmonotonicity properties of the Riccati equationsnonautonomous linear Hamiltonian systemsoptimization of quadratic functionalsuniform weak disconjugacy
Linear-quadratic optimal control problems (49N10) Topological dynamics of nonautonomous systems (37B55)
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Cites Work
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- Minimal sets in monotone and concave skew-product semiflows. I: A general theory
- Some remarks concerning weakly disconjugate linear Hamiltonian systems
- On almost-periodic linear differential systems of Millionscikov and Vinograd
- Minimal subsets of projective flows
- Existence of dichotomies and invariant splittings for linear differential systems. III
- Dichotomies in stability theory
- Ergodic properties and rotation number for linear Hamiltonian systems
- Exponential dichotomy and rotation number for linear Hamiltonian systems
- On the Yakubovich frequency theorem for linear non-autonomous control processes
- Linear-quadratic optimization problem and the frequency theorem for periodic systems. II
- Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems
- Disconjugacy
- Almost automorphic and almost periodic dynamics for quasimonotone non-autonomous functional differential equations
- OLD AND NEW RESULTS ON STRANGE NONCHAOTIC ATTRACTORS
- Ergodic properties and Weyl M-functions for random linear Hamiltonian systems
- Isolated Invariant Sets for Flows on Vector Bundles