Stability analysis of Volterra functional equations by realization theory

DOI10.1134/S0012266115130029zbMath1339.93039MaRDI QIDQ276949

Yu. A. Abdalova, Volker Reitmann

Publication date: 4 May 2016

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

frequency-domain methodabstract discrete-time control systemsnonlinear Volterra functional equationsstability/instability analysis

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Frequency-response methods in control theory (93C80) Control/observation systems in abstract spaces (93C25) Realizations from input-output data (93B15) Volterra integral equations (45D05) Stability of control systems (93D99)

Related Items (1)

Contraction analysis of Volterra integral equations via realization theory and frequency-domain methods

Cites Work

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• Use of method of abstract differential equations in the study of Volterra integral equations
• Discrete time systems, operator models, and scattering theory
• Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems
• Realization theory in Hilbert space
• Realization theory of infinite-dimensional linear systems. Part I
• $H^2 $-Functions and Infinite-Dimensional Realization Theory
• On realization of linear systems and applications to some questions of stability

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