On asymptotic stability in dynamical systems
β 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.
π SIMILAR VOLUMES
For a discrete dynamical system x s Tx on M ; β«ήβ¬ r some general condi-
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
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
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.
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}