On the Aizerman problem: coefficient conditions for the existence of a four-period cycle in a second-order discrete-time system

DOI10.1134/S1063454120010161zbMath1458.39012OpenAlexW3045300398MaRDI QIDQ2227806

T. E. Zvyagintseva

Publication date: 15 February 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454120010161

zbMATH Keywords

absolute stabilityperiodic solutionAizerman problemsecond-order discrete-time system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Stability theory for smooth dynamical systems (37C75) Stability theory for difference equations (39A30)

Related Items (2)

On the Aizerman problem: coefficient conditions for the existence of three- and six-period cycles in a second-order discrete-time system ⋮ On the conditions for the existence of cycles in a second-order discrete-time system with a sector nonlinearity

Cites Work

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• Essays on the absolute stability theory
• Second-order counterexamples to the discrete-time Kalman conjecture
• On the Aizerman problem
• On problems of Aizerman and Kalman
• Stability analysis of discrete-time Lur'e systems
• An improved stability criterion for discrete-time Lur'e systems with sector- and slope-restrictions
• A complete stability analysis of planar discrete-time linear systems under saturation
• LMI-Based Stability Criteria for Discrete-Time Lur'e Systems With Monotonic, Sector- and Slope-Restricted Nonlinearities

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