A study on the stability of Lienard-type nonlinear systems.

• MIYAGI Norio

• MIYAGI Hayao

Bibliographic Information

Other Title

• Ｌｉｅｎａｒｄ形非線形システムの安定性に関する一考察
• Lienar dガタ ヒセンケイ システム ノ アンテイセイ ニ カンスル イ

Abstract

This paper investigates the stability of a Lienard-type nonlinear system, utilizing the direct method of Lyapunov. The Lienard-type nonlinear system is given in a form of n second-order ordinary differential equations, which is a generalization of Lienard's equation. Noticing that the stability depends on the system structure, some stability criteria ate presented. Various Lyapunov functions are introduced in proving the theorems. Stability boundaries of the system are calculated by using such Lyapunov functions. To illustrate the proposed method, the results obtained are applied to an example system.

Journal

• TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C

  TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C 56 (529), 2427-2431, 1990

  The Japan Society of Mechanical Engineers

Keywords

• Lienard-type Nonlinear System
• System Structure
• Stability
• Lyapunov Method

Details

• CRID: 1390001206297063168
• NII Article ID: 110002379559
• NII Article ID: 130004082635
• NII Book ID: AN00187463
• DOI: 10.1299/kikaic.56.2427
• ISSN: 18848354
• ISSN: 03875024
• NDL BIB ID: 3673673
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I3673673
• Web Site: http://www.jstage.jst.go.jp/article/kikaic1979/56/529/56_529_2427/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed