Coupled Intervals in the Discrete Optimal Control

DOI10.1080/1023619031000146841zbMath1051.39017OpenAlexW2066765544MaRDI QIDQ4469616

Vera Zeidan, Roman Šimon Hilscher

Publication date: 15 June 2004

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1023619031000146841

zbMATH Keywords

positivityRiccati equationdiscrete optimal controlnonnegativitycoupled intervallinear Hamiltonian difference systemsdiscrete quadratic functionalconjugate interval

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Discrete version of topics in analysis (39A12)

Related Items (4)

Coupled intervals for discrete \(p\)-degree functional ⋮ Nonnegativity and positivity of quadratic functionals in discrete calculus of variations: survey ⋮ Coupled intervals for discrete symplectic systems ⋮ Nonnegativity of discrete quadratic functionals corresponding to symplectic difference systems.

Cites Work

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• Quadratic functionals with general bounday conditions
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• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• Discrete optimal control: The accessory problem and necessary optimality conditions
• Sufficient conditions for variational problems with variable endpoints: Coupled points
• Discrete Optimal Control: Second Order Optimality Conditions
• Second Order Sufficiency Criteria for a Discrete Optimal Control Problem
• Sufficiency Criteria via Focal Points and via Coupled Points
• Positivity of Block Tridiagonal Matrices
• Constrained Regular LQ-Control Problems
• Equivalent conditions to the nonnegativity of a quadratic functional in discrete optimal control

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