Frequency-domain criteria for oscillation in nonlinear systems with one stationary nonlinear component

DOI10.1007/BF00969914zbMath0287.93010MaRDI QIDQ1846397

V. A. Yakubovich

Publication date: 1974

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Popov-type stability of feedback systems (93D10) Nonlinear dynamics in mechanics (70K99) Control/observation systems governed by ordinary differential equations (93C15) Stability theory for ordinary differential equations (34D99)

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Frequency-domain conditions for global synchronization of nonlinear systems driven by a nonperiodic external signal -- tribute to Gennady Leonov ⋮ Local and global analysis of endocrine regulation as a non-cyclic feedback system ⋮ Differential equations with hysteresis operators. existence of solutions, stability, and oscillations ⋮ Absolute instability of Lur'e systems and its application to oscillation analysis of uncertain genetic networks ⋮ Multivariable harmonic balance for central pattern generators ⋮ Pattern Analysis in Networks of Diffusively Coupled Lur’e Systems ⋮ Detecting coexisting oscillatory patterns in delay coupled Lur’e systems

Cites Work

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• The theory of analytic design of controllers
• DETERMINATION OF STABILITY BY LINEAR APPROXIMATION OF A PERIODIC SOLUTION OF A SYSTEM OF DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES

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