𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability conditions and Liapunov functions for quasi-polynomial systems

✍ Scribed by B. Hernández-Bermejo

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
241 KB
Volume
15
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Invariants and Liapunov functions for no
Invariants and Liapunov functions for nonautonomous systems
✍ T. Nesemann 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 408 KB

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

The companion matrix and Liapunov functi
The companion matrix and Liapunov functions for linear multivariable time-invariant systems
✍ Henry M. Power 📂 Article 📅 1967 🏛 Elsevier Science 🌐 English ⚖ 1022 KB

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