1964
DOI: 10.1109/tme.1964.4323125
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Practical Aspects of State-Space Methods, Part I-System Formulation and Reduction

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Cited by 12 publications
(2 citation statements)
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“…Considering optimal regulator problem, given system equation 7determines the matrix K of the optimal control vector ( 8 ) so as to minimize the performance index * * Thus, the performance index can be obtained in terms of initial condition x(0) and P. The solution to the quadratic optimal control problem can be obtained as follows: Since r has been asuumed to be positive definite Hermitian or real symmetric matrix, we can write R= T*T where T is non singular matrix. Then equation can be written as with respect to K. Since this equation is non negative, the miminum occurs when it is zero, or when…”
Section: Quadratic Optimal Regulator Systemsmentioning
confidence: 99%
“…Considering optimal regulator problem, given system equation 7determines the matrix K of the optimal control vector ( 8 ) so as to minimize the performance index * * Thus, the performance index can be obtained in terms of initial condition x(0) and P. The solution to the quadratic optimal control problem can be obtained as follows: Since r has been asuumed to be positive definite Hermitian or real symmetric matrix, we can write R= T*T where T is non singular matrix. Then equation can be written as with respect to K. Since this equation is non negative, the miminum occurs when it is zero, or when…”
Section: Quadratic Optimal Regulator Systemsmentioning
confidence: 99%
“…[22], [24], [89] oder [91], auf schematische Weise die jeweiligen Übertragungsfunktionen bestimmen lassen. Allgemein stellt daher q)ij(t) die Impulsantwort des i-ten Integrators dar, wenn am Eingang des j-ten Integrators ein {j -Impuls liegt und alle Integratoren den Anfangswert Null aufweisen (energiefreies System).…”
Section: Ketten[önnige Darstellungunclassified