Explicit solutions to the optimum boundary control problem of a vibrating string

DOI10.1080/00207178108922515zbMath0473.49003OpenAlexW2156412001MaRDI QIDQ3927751

Ulrich Knöpp

Publication date: 1981

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178108922515

zbMATH Keywords

boundary controlhyperbolic systemsRiccati equationinfinite time intervalclosed-loop controlinhomogeneous vibrating string of finite lengthoptimal control variableoptimal gain factors

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Existence theories for optimal control problems involving partial differential equations (49J20) Ordinary differential operators (34L99)

Cites Work

• The direct solution of a steady-state Riccati equation arising in optimum boundary control
• Quadratic Performance Criteria in Boundary Control of Linear Symmetric Hyperbolic Systems
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