On counter-examples to Aizerman and Kalman conjectures

DOI10.1080/00207179.2020.1830304zbMath1485.93222OpenAlexW3092511697WikidataQ109649400 ScholiaQ109649400MaRDI QIDQ5069027

R. N. Mokaev, R. V. Yuldashev, M. V. Yuldashev, Timur N. Mokaev, Nikolay V. Kuznetsov, Igor M. Boiko

Publication date: 7 April 2022

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2020.1830304

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10)

Cites Work

• On the Kalman problem
• Stability of the equilibrium positions in relay systems
• Absolute stability of nonlinear systems of automatic control
• Second-order counterexamples to the discrete-time Kalman conjecture
• Sliding modes in control and optimization. Transl. from the Russian
• Fast switches in relay feedback systems
• Oscillations and transfer properties of relay servo systems -- the locus of a perturbed relay system approach
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• Chattering in sliding mode control systems with boundary layer approximation of discontinuous control
• An event-driven method to simulate Filippov systems with accurate computing of sliding motions
• Dynamics of relay relaxation oscillators
• Singularly perturbed analysis of chattering in relay control systems
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