Concerning Liapunov functions for linear systems— I†
✍ Scribed by SREEDHAR, N.
- Book ID
- 121220154
- Publisher
- Taylor and Francis Group
- Year
- 1970
- Tongue
- English
- Weight
- 148 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0020-7179
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
An algorithm is developed to generate a class of matrices N which, when nonsingular, red& a co&a@ square matrix A by a kmilarit~ transfomnation C = NAN-l to the Cwnpanion form. The coeficients of the characteristic equation 1 s1 -A 1 = 0 are dkplayed in the last row of C: stability of the multivaria
We consider the problem of characterizing those systems which admit (weak) Liapunov functions with nice analytic properties. Our investigation gives a rather complete picture of the situation for the one-dimensional case.
If for a difference equation no stability theorem applies, it is necessary to examine this difference equation directly. For many equations, however, it is neither obvious whether solutions are bounded or stable, nor is it trivial to prove such behavior. A useful way to prove boundedness is to find