Riccati equations for linear Hamiltonian systems without controllability condition
From MaRDI portal
Publication:1737055
DOI10.3934/dcds.2019074zbMath1412.34061OpenAlexW2909188537WikidataQ128551604 ScholiaQ128551604MaRDI QIDQ1737055
Publication date: 26 March 2019
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2019074
controllabilitylinear Hamiltonian systemgenus of conjoined basesprincipal solution at infinityRiccati differential equationdistinguished solution at infinity
Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
Related Items
On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem ⋮ Distribution and number of focal points for linear Hamiltonian systems ⋮ Lidskii angles and Sturmian theory for linear Hamiltonian systems on compact interval ⋮ Weak disconjugacy, weak controllability, and genera of conjoined bases for linear Hamiltonian systems ⋮ Genera of conjoined bases for (non)oscillatory linear Hamiltonian systems: extended theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control
- Dynamical methods for linear Hamiltonian systems with applications to control processes
- Genera of conjoined bases for (non)oscillatory linear Hamiltonian systems: extended theory
- Sturmian theory for ordinary differential equations
- Quadratic control problems
- Quadratic functionals with general bounday conditions
- 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
- Applications of time scale symplectic systems without normality
- Riccati equations for abnormal time scale quadratic functionals
- Principal and antiprincipal solutions at infinity of linear Hamiltonian systems
- Disconjugacy
- Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems
- New Second-Order Optimality Conditions for Variational Problems with C2 -Hamiltonians
- Reid’s Construction of Minimal Principal Solution at Infinity for Linear Hamiltonian Systems
- Primer on Optimal Control Theory
- Sufficiency Criteria via Focal Points and via Coupled Points
- The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency
- Constrained Regular LQ-Control Problems
- DEFINITENESS OF QUADRATIC FUNCTIONALS
- Nonnegativity of a Quadratic Functional
- Generalized Inverses of Linear Transformations
- Time scale embedding theorem and coercivity of quadratic functionals
- Genera of conjoined bases of linear Hamiltonian systems and limit characterization of principal solutions at infinity
