On the conditions for the existence of cycles in a second-order discrete-time system with a sector nonlinearity

DOI10.1134/S1063454121010131zbMath1465.93135OpenAlexW3163429138MaRDI QIDQ2038516

T. E. Zvyagintseva

Publication date: 7 July 2021

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

Full work available at URL: https://doi.org/10.1134/s1063454121010131

zbMATH Keywords

absolute stabilityperiodic solutionsector nonlinearityAizerman conjecturesecond-order discrete-time system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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

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