Necessary and sufficient conditions for 2-dimensional discrete-time systems described by the signum function to be stable

Hajime Hara, Tetsuo Nishi, Norikazu Takahashi

Research output: Contribution to journalArticle

Abstract

The necessary and sufficient conditions for 2-dimensional discrete-time systems described by the signum function to be stable are investigated. Continuous or discrete-time system equations of dimension n were studied extensively. The stability problem as well as various properties such as existence of limit cycles, the number of equilibrium points have been particularly studied. A simple 2-dimensional system is described by means of the signum function as a nonlinear function, and the necessary and sufficient conditions for it to be stable are shown.

Original languageEnglish
Pages (from-to)1500-1502
Number of pages3
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE87-A
Issue number6
Publication statusPublished - Jun 2004
Externally publishedYes

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Signum function
Discrete-time Systems
Necessary Conditions
Sufficient Conditions
Continuous-time Systems
Nonlinear Function
Equilibrium Point
Limit Cycle

Keywords

  • Stability conditions
  • System equation of dimension 2

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Hardware and Architecture
  • Information Systems

Cite this

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