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Lyapunov stability analysis shows that all the signals in the closed-loop systems are semi-globally uniformly ultimately bounded (SGUUB).

Then by using Lyapunov stability theory, it is guaranteed that all the variables of the closed-loop systems are semi-globally uniformly ultimately bounded (SGUUB).

Based on Lyapunov stability theorem, we show that the designed controller can render all the signals of the overall closed-loop systems are semi-global bounded in probability with the help of the changing supply functions.

Moreover, utilizing the adaptive backstepping technique, a novel adaptive fuzzy tracking control scheme is developed to guarantee all signals of the closed-loop systems are semi-globally uniformly ultimately bounded, and the tracking error can be regulated to the origin with a small neighborhood.

The major advantages of this research are that: (1) the Strictly Positive Real (SPR) condition on the estimation error dynamics is not required, (2) the considered class of master-slave systems is relatively large, (3) all signals in the resulting closed-loop systems are semi-globally uniformly ultimately bounded and the synchronization errors semi-globally converge to zero.

Such systems are semi-autonomous, requiring a degree of human intervention, notes Michael Forhez, Oracle global managing director of consumer markets.

It is proved that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded.

It is guaranteed that all signals of the closed-loop FTC system are semi-global uniformly ultimately bounded.

The stability analysis proves that all signals in the closed-loop system are semi-globally, uniformly and ultimately bounded.

As a result, all the signals of the closed-loop system are semi-global uniformly ultimately bounded.

Moreover, stability analysis guarantees that all signals of the closed-loop control system are semi-global uniformly ultimately bounded.

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