The Stability Analysis of a Class of Time-Delay Systems: Analytical Circle Criterion Approach

Abstract

In this paper, an attempt has been made to present analytical interpretation of the well-known circle criterion for giving stability information of a class of time delay systems. Necessary and sufficient conditions for the system to possess a real K have been derived. Quite a few representative cases have been analysed to check the efficacy of the analytical procedure. The results obtained by this method agree very well with those available in the literature

Indexing Terms:

• Circle Criterion
• Time Delay Systems
• Stability
• Sector-Bound
• Non-Linearity