Abstract:

In this paper, a new stability criterion is proposed for testing 2D linear continuous systems. This algorithm is based on the discriminant systems of real polynomials, and can give a complete answer for whether a 2D system is stable or not, thus overcoming the limitations of traditional methods that a large mount of frequency points should be tested and only inaccurate results can be provided. More importantly, it can be used to analyze the stability regions of 2D systems with parameters as well. Examples show the validity of our algorithm.

Key words: 2D system;stability;discrimination system of polynomials