Sentence examples for Ultimate bounds from inspiring English sources

When disturbances are periodic, frequency analysis technique obtains a less conservative estimate of the ultimate bound of the system, indicating that disturbances with high frequencies lead to relatively small ultimate bounds.

Meanwhile, the ultimate bounds of the generalized chaotic system about its all variables are induced by the ultimate bounds of the system about its partial variables.

A novel parameter mapping is proposed to obtain a simple relationship between the design parameter and the ultimate bounds of error trajectories.

The notions of invariant sets and ultimate bounds are important concepts in the analysis of dynamical systems and very useful tools for the design of control systems.

For a class of perturbed feedback linearizable nonlinear systems, we consider the computation and assignment of prescribed ultimate bounds on the system states.

The method aims at achieving (a) closed-loop stability under arbitrary switching and (b) minimisation of ultimate bounds for specific state components.

By Lyapunov-Krasovskii approach, the closed-loop tracking error is proved to be uniformly ultimate bounded.

In addition to global uniform ultimate bounded stability, transient and steady-state performance bounds are derived for the tracking error.

Lyapunov techniques are used to demonstrate the convergence of the NN weight errors in the sense of uniform ultimate bounded.

The ultimate bound of the tracking error can be made arbitrarily small by proper choice of controller parameters.

In addition, it is proved that all the states in the closed-loop system are uniformly ultimate bounded (UUB).