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Optimal stabilization of linear stochastic systems
Having introduced and motivated our concepts of stochastic control systems in the previous chapter we now turn to optimal and suboptimal... -
Linear map**s on ordered vector spaces
Before we can start to analyze the generalized Riccati operators derived in the previous chapter, we have to deal with generalized Lyapunov operators... -
Aspects of stochastic control theory
In the present chapter, we introduce linear stochastic control systems and the corresponding notions of stability, stabilizability and detectability.... -
Hermitian matrices and Schur complements
Throughout the text, $\mathbb{K}$ denotes either the field of real or the... -
Newton’s method
This chapter contains some of our main results. It largely follows the presentation in [49]. Our object is to tackle rational matrix equations of the... -
Solution of the Riccati equation
In Chapter 2 we have discussed various optimal and worst-case stabilization problems for linear stochastic control systems and reformulated them in... -
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Taylor-Entwicklung
Übersicht 15.1 Taylor-Darstellung von Polynomen 15.2 Quadratische Taylor-Polynome und Restglied 15.3 Quadratisches Taylor-Polynom und Abschätzung des... -
Vektorrechnung
Übersicht 25.1 Vektoren 25.2 Längen, Winkel und Skalarprodukt 25.3 Vektor- und Spatprodukt 25.4 Geraden und Ebenen -
Mengen und Abbildungen
Übersicht 2.1 Mengenoperationen 2.2 Teilmengenbestimmung mit Venn-Diagramm 2.3 Anwendung von Regeln für Mengenoperationen 2.4 Mengenoperationen für... -
Vektoren
Übersicht 6.1 Koordinatendarstellungen im Raum 6.2 Addition von Vektoren, Resultierende Geschwindigkeit 6.3 Kräfteparallelogramm 6.4 Überlagerung von...