The Original Routh table dealing with real polynomials is further investigated for complex polynominals. Based on the tabular form proposed by Parks for the complex polynomial with respect to the imaginary axis, 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 proposed in this paper.
|Number of pages||12|
|Journal||IMA Journal of Mathematical Control and Information|
|Publication status||Published - 1993|
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Control and Optimization
- Applied Mathematics