Title :
A new tabular form for determining root distribution of a complex polynomial with respect to the imaginary axis
Author :
Chen, Shyan S. ; Tsai, Jason S H
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng-Kung Univ., Tainan, Taiwan
fDate :
10/1/1993 12:00:00 AM
Abstract :
The original Routh table dealing with real polynomials is further investigated for complex polynomials. A 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, procedures are developed for determining the respective orders of simple and/or repeated roots lying on the imaginary axis. Conditional stability and instability can be distinguished from each other by the criteria developed here
Keywords :
polynomials; stability criteria; Routh table; complex polynomial; conditional stability; imaginary axis; root distribution; tabular form; unconditional stability; Control systems; Heuristic algorithms; Linear regression; Linear systems; Parameter estimation; Polynomials; Recursive estimation; Signal processing algorithms; Stability criteria; Yield estimation;
Journal_Title :
Automatic Control, IEEE Transactions on