𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On asymptotic stability in dynamical systems

✍ Scribed by Nam P. Bhatia


Publisher
Springer
Year
1967
Tongue
English
Weight
972 KB
Volume
1
Category
Article
ISSN
1433-0490

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Global Exponential Asymptotic Stability
✍ Lisheng Wang; Pheng-Ann Heng; Kwong-Sak Leung; Zongben Xu πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 82 KB

For the nonlinear discrete dynamical system x s Tx on bounded, closed kq 1 k and convex set D ; R n , we present several sufficient and necessary conditions under which the unique equilibrium point is globally exponentially asymptotically stable. The infimum of exponential bounds of convergent traje

On Dynamical Stability in General Dynami
✍ Desheng Li πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 160 KB

This paper is concerned with dynamical stability of general dynamical systems. We discuss invariance properties of some limit sets, investigate connections between various notions and definitions related to stability and attraction properties, and establish existence results for invariant uniform at

Attractors and asymptotic stability for
✍ Rodney C. Bassanezi; LaΓ©cio C. de Barros; Pedro A. Tonelli πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 876 KB

In this work we study the asymptotic properties of maps on fuzzy spaces which are extensions of maps on R". The main results are in Section 4 (see Theorem 2 1) and we give an illustrative example in the last section.

Strong Asymptotic Stability of Linear Dy
✍ F. Huang πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 583 KB

In this paper we investigate the strong asymptotic stability of linear dynamical systems in Banach spaces. Let \(\alpha\) be the infinitesimal generator of a \(C_{0}\)-semigroup \(e^{t i f f}\) of bounded linear operators in a Banach space \(X\). We first show that if \(e^{t . \alpha}\) is a \(C_{0}