Quadratic optimal control of stable systems through spectral factorization
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Publication:1906514
DOI10.1007/BF01210206zbMath0843.93019MaRDI QIDQ1906514
Publication date: 15 August 1996
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
optimal controlsemigroupsspectral theoryWiener-Hopf factorizationunbounded controlrealizationsquadratic costinput-output system
Frequency-response methods in control theory (93C80) Operator-theoretic methods (93B28) Linear-quadratic optimal control problems (49N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)
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On the discrete and continuous time infinite-dimensional algebraic Riccati equations ⋮ Non-linear minimal square spectral factorization ⋮ Quadratic optimal control of stable systems through spectral factorization ⋮ 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 ⋮ An unbounded stabilization problem for distributed linear systems ⋮ Partially stabilizing LQ-optimal control for stabilizable semigroup systems ⋮ Optimal State Estimation for Non-Time Invertible Evolutionary Systems ⋮ On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations ⋮ Calculating the spectral factorization and outer functions by sampling-based approximations -- fundamental limitations ⋮ The spectral factorization problem for multivariable distributed parameter systems ⋮ Quadratic optimal control through spectral and coprime factorisation
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