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JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2008 Issue 6, Pages 18–22 (Mi pu194)

Analysis and synthesis of control systems

Nonstationary relay control system: a solution for the task of convergence domain search

S. D. Zemlyakov, E. A. Danilova

Institute of Control Sciences, Russian Academy of Sciences

Abstract: The problem of relay nonstationary system analysis and synthesis is considered. The concepts of critical nonstationarity function and limiting convergence domain are introduced. For a case of relay nonstationary system the method of limiting convergence domain constructing is proposed. Analytical results are accompanied by illustrative examples. Analytical relations are verified by simulation results.

Keywords: relay nonstationary system, critical nonstationarity function, limiting convergence domain, asymptotical stability, phase plane.

UDC: 519.213



© Steklov Math. Inst. of RAS, 2025