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Titlebook: Matrix Riccati Equations in Control and Systems Theory; Hisham Abou-Kandil,Gerhard Freiling,Gerhard Jank Book 2003 Springer Basel AG 2003

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Hamiltonian Matrices and Algebraic Riccati equations,tten in the form . with ., ..(.) ∈ ℂ., ..(.) ∈ ℂ., ..(.) ∈ ℂ., ..(.) ∈ ℂ. for . ∈ .. Throughout Chapters 2-6 we agree for convenience that all coefficients of matrix Riccati equations are piecewise continuous and locally bounded and that . is a non-degenerate interval on the real axis (or maybe an o
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Hermitian Riccati differential equations, as e.g., the linear quadratic optimal problem, differential games, differential geometry, fac­torization problems and spectral theory. Since the linear differential system that, according to Radon’s Lemma, is associated to HRDE is a linear Hamiltonian sys­tem, it turns out that the solutions of HRD
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Applications to Robust Control,he . Historically, the first solution to the disturbance attenuation problem was given by reducing it to a four block Nehari problem. However, we will follow here an alternative path which leads to some elegant formulas for the controller, in the same spirit as in the time-invariant case, under a mi
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Non-symmetric Riccati theory and applications,istence results for stabilizing solutions to the symmetric algebraic Riccati equation, the invertibility of the Toeplitz operator associated with the input-output operator of the underlying Hamiltonian system and the existence of an antianalytic factorization of the Popov function. This theory has b
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Hisham Abou-Kandil,Gerhard Freiling,Vlad Ionescu,Gerhard Jankster-256, beschrieben. Die Parallelisierung des Algorithmus erfolgt durch Gebietszerlegung (grid partitioning). Die Laufzeiten des Programms bei Variation der Prozessorzahl wurden gemessen. Die Ergebnisse zeigen einen nahezu linearen Speedup für kleine bis mittlere Prozessorzahlen. Die hohen Verlust
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Hisham Abou-Kandil,Gerhard Freiling,Vlad Ionescu,Gerhard Janke der bekannten effizienten Algorithmen zeichnen sich jedoch gerade dadurch aus, daß sie ein hohes Maß an innerer Rekursivität verbunden mit intensivem „globalem“ Informationsaustausch aufweisen. Im Gegensatz hierzu besitzen einfach parallelisierbare „lokale“ Algorithmen oft nur geringe numerische E
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