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Frequency theorem and the Lure equation

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Publication:1144531
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DOI10.1007/BF00970373zbMath0443.93043OpenAlexW2070820943MaRDI QIDQ1144531

Alexander N. Churilov

Publication date: 1980

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00970373

zbMATH Keywords

frequency theoremLure equationRiccati algebraic equation


Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)


Related Items

Totally isotropic subspaces for pairs of Hermitian forms and applications to Riccati equations, Factorizations of and extensions to J-unitary rational matrix functions on the unit circle, The algebraic Riccati equation: Conditions for the existence and uniqueness of solutions



Cites Work

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  • The time-invariant linear-quadratic optimal control problem
  • LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL
  • Matrix quadratic equations
  • LIAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E
  • Absolute Stability of Systems with Multiple Non-linearities
  • The Stabilizing Solution of the Algebraic Riccati Equation
  • A contribution to matrix quadratic equations
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