The problem of global robust exponential stabilization of nonholonomic chained systems is addressed and solved by means of a hybrid state feedback control law. It is shown that the control law yields global exponential stability and global robustness against a class of small measurement errors, actuator noises and exogenous disturbances.

A three-level system can be used in a $\mathrm{\ensuremath{\Lambda}}$-type configuration order to construct universal set of quantum gates through the use non-Abelian nonadiabatic geometrical phases. Such construction allows for high-speed operation times which diminish effects decoherence. This might be, however, accompanied by breakdown validity rotating-wave approximation (RWA) due comparabl...