✦ LIBER ✦
A Matrix Stability Criterion which does not Involve Forming the Characteristic Polynomial
✍ Scribed by R. Kalaba; E. Zagustin
- Book ID
- 103084175
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 295 KB
- Volume
- 306
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
A crucial problem in the theory of stability is to determine whether or not all of the eigenvalues of a system matrix have negative
real parts. The classical test is to form the characteristic polynomial of the given matrix and then apply the Routh-Hurwitz criterion, which involves evaluating certain determinants. A new approach is presented in this paper; the characteristic polynomial is not formed, though certain differential equations must be integrated (numerically). Results of some computational experiments are encouraging.