The original Routh table dealing with real polynomials is further investigated for complex polynomials. A new tabular form for determining root distribution of a complex polynomial with respect to the imaginary axis is developed, and modified procedures for directly treating singularities in the array are proposed. Also, new procedures are developed for determining the respective orders of simple and/or repeated roots lying on the imaginary axis. As a result, the situation of conditional stability or instability can be distinguished by the criteria developed in this note.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering