Approximations of riccati equation for abstract boundary control problems applications to hyperbolic systems

DOI10.1080/01630568608816212zbMath0628.65045OpenAlexW1999541568MaRDI QIDQ3765122

Irena Lasiecka

Publication date: 1985

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568608816212

zbMATH Keywords

Galerkin approximationsdifferential Riccati equationsfirst order nondissipative hyperbolic systemhyperbolic boundary control problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Late-lumping backstepping control of partial differential equations ⋮ Uniform operator continuity of the stationary Riccati equation in Hilbert space ⋮ Approximations of solutions to infinite–dimensional algebraic riccati equations with unbounded input operators

Cites Work

• Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms
• The Linear Regulator Problem for Parabolic Systems
• The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces
• Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis
• L₂ is a continuable initial condition for kreiss' mixed problems