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Absolute stability and harmonic balance

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Publication:650020
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DOI10.1134/S0005117911090025zbMath1233.34022MaRDI QIDQ650020

A. I. Barkin

Publication date: 25 November 2011

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



Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20)




Cites Work

  • Stability analysis of switched systems using variational principles: An introduction
  • Essays on the absolute stability theory
  • On the existence of periodic motion and the maximum sector bounds for absolute stability of nonlinear nonstationary systems
  • Modernization of one criterion for absolute stability
  • Systems with a switch and estimation of absolute stability region
  • Existence of periodic motions and test for absolute stability of nonlinear nonstationary systems in the three-dimensional case
  • Antiperiodic motions and an algebraic criterion for the absolute stability of nonlinear time-varying systems in the three-dimensional case
  • Exact evaluation of transients and of stability of sampled-data systems with finite sampling time


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