| Titre : |
Vector Lyapunov functions and stability analysis of nonlinear systems |
| Type de document : |
texte imprimé |
| Auteurs : |
V. Lakshmikantham, Auteur ; V.M. Matrosov, Auteur ; S. Sivasundaram, Auteur |
| Editeur : |
Boston : Kluwer academic publishers |
| Année de publication : |
1991 |
| Collection : |
Mathematics and its applications num. Vol. 63 |
| Importance : |
X-172 p. |
| Présentation : |
ill. |
| Format : |
21 cm |
| ISBN/ISSN/EAN : |
978-0-7923-1152-2 |
| Note générale : |
Bibliogr. p. 163-170. Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Liapunov functions
Stability
Nonlinear theories
Liapounov, Fonctions de
Stabilité
Systèmes non linéaires
Differential equations |
| Index. décimale : |
517.988 Analyse fonctionnelle non linéaire et méthodes d'approximation. |
| Résumé : |
Lyapunov's second method has become of increasing significance in the modern development of the stability theory of differentiel equations. The concept of the Lyapunov function together with the theory of differential and integral inequalities enable the properties of complicated nonlinear differential equations to be investigated more easily. Employing several Lyapunov functions offers still more flexibility and is known as the method of vector Lyapunov functions. |
| Note de contenu : |
Contents:
* Why serveral Laypuniv functions?
* Refinemenets.
* Extensions.
* Applications. |
Vector Lyapunov functions and stability analysis of nonlinear systems (1991)
