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Hankel singular values and vectors of a class of infinite-dimensional systems: Exact Hamiltonian formulas for control and approximation problems

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Publication:1961042
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DOI10.1007/PL00009857zbMath0943.93020OpenAlexW2060944578MaRDI QIDQ1961042

Yoshito Ohta

Publication date: 30 March 2000

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00009857


zbMATH Keywords

model reductionsingular valuessingular vectorsinner functionHankel operators\(H^\infty\) control


Mathematics Subject Classification ID

(H^infty)-control (93B36) System structure simplification (93B11) Operator-theoretic methods (93B28) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)


Related Items (3)

Singular value decomposition for a class of linear time-varying systems with application to switched linear systems ⋮ Stochastic system transformation using generalized orthonormal basis functions with applications to continuous-time system identification ⋮ Realization of input-output maps using generalized orthonormal basis functions







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