Discrete-time p-powers and stability

DOI10.1007/BF01189336zbMath0732.93069MaRDI QIDQ809973

Sandberg, Irwin W.

Publication date: 1990

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

Volterra expansioniterated-integral operatorsp-powers

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25)

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Cites Work

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• Integration theory
• An algebraic approach to nonlinear functional expansions
• A perspective on system theory
• Criteria for the stability of p-linear maps and p-powers
• Multilinear Maps and uniform boundedness
• Analytical Foundations of Volterra Series
• On the relationship between Bilinear maps and linear two-dimensional maps
• A best approximation framework and implementation for simulation of large-scale nonlinear systems
• Absolute and unconditional convergence