Global stability conditions of a system with hysteresis nonlinearity

T. E. Zviagintceva, V. A. Pliss

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

The paper discusses a two-dimensional automatic control system that contains a single hysteresis element of the general form. Systems of this type are mathematical models of real control systems and have been considered in many papers on this subject. In this paper, a system phase space, which is a manifold with a boundary, is constructed. The conditions under which the system is globally stable in a certain sense are formulated. The term sliding mode is used in the formulation ([15], Fig. 4).

Original languageEnglish
Pages (from-to)138-144
Number of pages7
JournalVestnik St. Petersburg University: Mathematics
Volume50
Issue number2
DOIs
StatePublished - 1 Apr 2017

Keywords

  • global stability
  • sliding mode
  • system with hysteresis

Scopus subject areas

  • Mathematics(all)

Cite this

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Global stability conditions of a system with hysteresis nonlinearity. / Zviagintceva, T. E.; Pliss, V. A.

In: Vestnik St. Petersburg University: Mathematics, Vol. 50, No. 2, 01.04.2017, p. 138-144.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Pliss, V. A.

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AB - The paper discusses a two-dimensional automatic control system that contains a single hysteresis element of the general form. Systems of this type are mathematical models of real control systems and have been considered in many papers on this subject. In this paper, a system phase space, which is a manifold with a boundary, is constructed. The conditions under which the system is globally stable in a certain sense are formulated. The term sliding mode is used in the formulation ([15], Fig. 4).

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