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Bifurcation of cycles of automatic control systems with ideal relay

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Publication:544718
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DOI10.1134/S0005117910110032zbMath1223.34058MaRDI QIDQ544718

O. A. Chernysheva, Ju. S. Kolesov

Publication date: 16 June 2011

Published in: Automation and Remote Control (Search for Journal in Brave)


zbMATH Keywords

Andronov-Hopf bifurcationLimit cycleControl systemMonodromy matrixOrbital stability


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Control/observation systems governed by ordinary differential equations (93C15)


Related Items (1)

Hopf bifurcation at infinity in 3D relay systems




Cites Work

  • Stability of the equilibrium positions in relay systems




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