The Nehari problem for infinite-dimensional linear systems of parabolic type

DOI10.1007/BF01229503zbMath0858.47017OpenAlexW2155805325MaRDI QIDQ1925103

Ruth F. Curtain, Akira Ichikawa

Publication date: 25 March 1997

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229503

zbMATH Keywords

parabolic systemstransfer functionsDirichlet boundary controlrealizationDirichlet map\(J\)-spectral factorization problemsmooth observationssuboptimal Nehari extension problemuniformly strongly elliptic operator

Mathematics Subject Classification ID

(H^infty)-control (93B36) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Control/observation systems in abstract spaces (93C25) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (5)

In memoriam Ruth Curtain ⋮ Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems ⋮ Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems ⋮ Sub-optimal Hankel norm approximation problem: a frequency-domain approach ⋮ The Nehari problem for nonexponentially stable systems

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators
• Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
• The Nehari problem for the Pritchard-Salamon class of infinite- dimensional linear systems: A direct approach
• Explicit formulas for Hankel norm approximations of infinite-dimensional systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• AJ-Spectral Factorization Approach to $\mathcal{H}_\infty $
• Filtering and controal of stochastic differential equations with unbounded coefficients
• Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
• On Decomposition of Generators
• Algebraic Riccati Equation Arising in Boundary Control Problems
• Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis
• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Nehari problem for infinite-dimensional linear systems of parabolic type