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 language | English |
|---|---|
| Pages (from-to) | 1500-1502 |
| Number of pages | 3 |
| Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
| Volume | E87-A |
| Issue number | 6 |
| Publication status | Published - Jun 2004 |
| Externally published | Yes |
Keywords
- Stability conditions
- System equation of dimension 2
ASJC Scopus subject areas
- Signal Processing
- Computer Graphics and Computer-Aided Design
- Electrical and Electronic Engineering
- Applied Mathematics