Sentence examples for bounded and the system from inspiring English sources

Finally, it is proven that all the signals in the closed-loop system are bounded and the system output is not violated by using Lyapunov stability analysis method.

It is proved that all the signals of the closed-loop systems are bounded and the system output can follow the given bounded reference signal.

The proposed controller can guarantee that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded, and the system output satisfies the prescribed performance.

The proposed adaptive fuzzy controller guarantees that all the signals in the closed-loop system are bounded and the system output eventually converges to a small neighborhood of the desired reference signal.

By using Lyapunov analysis method, it is proven that all the signals in the closed-loop system are guaranteed to be bounded and the system outputs track the reference signals to a bounded compact set.

It is proven that the proposed algorithm can guarantee that all the signals in the closed-loop system are bounded and the system output can converge to a neighborhood of zero based on the Lyapunov analysis method.

In addition, the functions f and g are bounded and the linear system (2.14) is approximately controllable on [ 0, b ].

Both the system uncertainties and the external disturbances are assumed to be time-varying and bounded, and the states of the system under consideration are not available but detectable.

It is proved that the proposed control approach can guarantee that all the signals of the resulting closed-loop system are bounded and the tracking error between the system output and the reference signal converges to a small neighborhood of zero by appropriate choice of the design parameters.

It is shown that if the designed parameters in the controller and adaptive laws are appropriately selected, then all closed-loop signals are bounded and the stability of the system can be kept under average dwell time methods.

By combining the backstepping and DSC methods, a bounded control input is designed to ensure that all signals of the closed-loop system are bounded and the tracking error can fluctuate around the origin within a small neighborhood.