Block circulant and block Toeplitz approximants of a class of spatially distributed systems-an LQR perspective

DOI10.1016/j.automatica.2012.08.021zbMath1255.93059OpenAlexW1978243765MaRDI QIDQ1932701

Orest V. Iftime

Publication date: 21 January 2013

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.08.021

zbMATH Keywords

linear systemsinfinite-dimensional systemsspatially distributed systemsinvariant systemsspatially invariant systemsgrowth bounds(LQR) controlblock Toeplitz approximantsclosed-loop generatorcontrol Riccati equationscorresponding infinite-dimensional modelinear quadratic regulatorlinear quadratic regulator behaviorlong strings of MIMOsystems with finite length

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05)

Cites Work

• A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version
• Functions of banded Hermitian block Toeplitz matrices in signal processing
• System theoretic properties of a class of spatially invariant systems
• Introduction to large truncated Toeplitz matrices
• Discretized partial differential equations: Examples of control systems defined on modules
• Asymptotically Equivalent Sequences of Matrices and Hermitian Block Toeplitz Matrices With Continuous Symbols: Applications to MIMO Systems
• An Approximation Theorem for the Algebraic Riccati Equation
• Singular values and eigenvalues of non-Hermitian block Toeplitz matrices
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