On the discrete and continuous time infinite-dimensional algebraic Riccati equations

DOI10.1016/S0167-6911(96)00058-8zbMath0875.93199OpenAlexW2031297253MaRDI QIDQ1350173

Olof J. Staffans

Publication date: 27 February 1997

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(96)00058-8

zbMATH Keywords

Spectral factorizationAlgebraic Riccati equationLinear quadratic optimal controlWell-posed linear systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Linear-quadratic optimal control problems (49N10)

Related Items (6)

Optimal control of stable weakly regular linear systems ⋮ An example in linear quadratic optimal control ⋮ Admissible factorizations of Hankel operators induce well-posed linear systems ⋮ Partially stabilizing LQ-optimal control for stabilizable semigroup systems ⋮ The spectral factorization problem for multivariable distributed parameter systems ⋮ Quadratic optimal control through spectral and coprime factorisation

Cites Work

• Unnamed Item
• Unnamed Item
• Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
• Quadratic optimal control through spectral and coprime factorisation
• \(H_ \infty\)-control for distributed parameter systems: A state-space approach
• Regular linear systems with feedback
• Quadratic optimal control of stable systems through spectral factorization
• Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
• The Linear-Quadratic Control Problem for Retarded Systems with Delays in Control and Observation
• Realization theory in Hilbert space
• A Spectral Factorization Approach to the Distributed Stable Regular Problem; the Algebraic Riccati Equation
• Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
• The LQ controller problem: an example
• Quadratic optimal control of stable well-posed linear systems
• The Linear Quadratic Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators

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