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Systematische Analyse und Entwurf von Regelungseinrichtungen auf Basis von Lyapunov's direkter Metho

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Brand
Springer Nature
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N/A
Part Number
0
GTIN
9783658280604
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New
Product Description

Rick Vowinkel stellt numerische und algebraische Anstze vor, um lineare und nichtlineare Systeme auf konstruktive Weise zu untersuchen sowie systematisch Regler zu entwerfen. Den Ausgangspunkt stellt dabei Lyapunov's direkte Methode dar. Lyapunov-Methoden sind im nichtlinearen Fall nicht systematisch, da sie lediglich hinreichende Bedingungen liefern. Dieser Konservatismus wird mit Anstzen der Quadratsummenzerlegung und Quantorenelimination minimiert. Konkret werden asymptotische Stabilitt und (inkrementelle) Eingangs-Zustands-Stabilitt, sowie (ISS)-Regelungs-Lyapunov-Funktionen betrachtet. Weiterhin wird fr lineare Systeme dargestellt, wie mittels Parameterraumverfahren alle Parameter bestimmt werden knnen, die unterschiedliche Gteanforderungen realisieren.

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