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Feedback stabilization of spin systems

Proceedings of the 44th IEEE Conference on Decision and Control, 2006
The feedback stabilization problem for ensembles of coupled spin 1/2 systems is discussed. The noninvasive nature of the bulk measurement allows for a fully unitary and deterministic closed loop. The Lyapunov-based feedback design does not require that the spins are selectively addressable.
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Stability of Feedback Systems with Uncertain Dynamics

IFAC Proceedings Volumes, 1992
Abstract The application of functional analytic methods to the stability of feedback control systems with nonlinear, imprecise or unknown models is discussed. A method is proposed to find the appropiate center and radius parameters of the Conicity Stability Criterion.
A. Barreiro, J. Aracil
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Stabilizing time-varying feedback

IFAC Proceedings Volumes, 1995
Abstract We survey recent results on the stabilization problem which show the interest of time-varying feedback laws and time-varying output feedback laws.
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Boundary Feedback Stabilization of Shallow Shells

SIAM Journal on Control and Optimization, 2003
Summary: We consider the stabilization of the shallow shell by boundary feedbacks where the model has a middle surface of any shape. First, we put the shallow shell model in a suitable semigroup scheme. The existence, the uniqueness, and the properties of solutions to the shallow shell are then treated by the semigroup approach and the regularity of ...
Shugen Chai, Yuxia Guo, Peng-Fei Yao
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Lag-Stabilized Force Feedback Damping

Journal of Intelligent and Robotic Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rush D. Robinett III   +2 more
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Output feedback stabilization of a vibrating gyroscope

Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003., 2004
In this paper we give a solution to the output feedback stabilization problem of a vibrating gyroscope. The system is modelled as an interconnected system, and the coupling terms between subsystems are functions of the uncertain rotation speed. The formulation is made in an LMI framework.
Mehdi, Driss   +3 more
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Examples of stabilization with hybrid feedback

1996
Via examples, this paper examines the possibility of stabilizing a continuous control plant, through an interaction with a discrete time controller. Such a hybrid feedback complements the output feedback within the plant when the latter fails to stabilize the system or fails to produce smooth stabilization.
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Feedback stabilization, stability and chaotic dynamics

1985 24th IEEE Conference on Decision and Control, 1985
We examine the control of a (prototype) nonlinear pendulum under uncertainty in modelling. The uncertainty is sufficiently small and is a function of both state and time. We apply Liapunov direct method to prove the stability of an equilibrium point.
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CausalC 0 operators and feedback stability

Mathematical Systems Theory, 1977
Linear feedback systems, for which the return differenceT is aC0 operator are studied. It is shown that ifT is essentially unitary then such a system is well posed and stable. All strictly causalC0 operators for whichI–T*T is compact are characterized.
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On the Synthesis of a Stabilizing Feedback Control

2006
Starting from states near to a closed set S we want to steer S and to stay always close to S. Unfortunately, open-loop controls are very sensitive to disturbances and can lead to very bad practical results. For that reason, we propose an approach for constructing a discontinuous feedback control law that asymptotically stabilizes the system in a ...
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