On asymptotically stabilizing the Rikitake two-disk dynamo dynamics
โ Scribed by Ramona A. Tudoran
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 218 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1468-1218
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we give a method to stabilize asymptotically the nontrivial Lyapunov stable equilibrium states of Rikitake two-disk dynamo dynamics.
๐ SIMILAR VOLUMES
Let \(\{T(t)\}_{1 \geqslant 0}\) be a \(C_{0}\)-semigroup in a Banach space \(X\) with generator \(A\). We prove that if \(\{T(t)\}_{t \geqslant 0}\) is bounded and sun-reflexive, and the sun-dual semigroup is not asymptotically stable, then there exist bounded complete trajectories under \(\{T(t)\}
The attitude stabilization problem of a rigid spacecraft using control torques supplied by gas jet actuators about only two of its principal axes is considered. If the uncontrolled principal axis of the spacecraft is not an axis of symmetry, then the complete spacecraft dynamics are small time local