Sentence examples for mean square sense from inspiring English sources

The containment tracking results are obtained in the asymptotic unbiased mean square sense and with bounded error in mean square sense for general linear case and nonlinear case respectively.

Mathematical modeling of SP-BVPs is constructed by using a universal function approximation capability of ANNs in mean square sense.

The corresponding optimization algorithm for obtaining the biggest domain of attraction in mean square sense is then formulated.

Several design criteria are established under which the estimation error system is globally exponentially stable in the mean square sense.

The concept of domain of attraction in mean square sense is used to analyze the closed-loop stability.

In contrast to the existing methods, the closed-loop controlled system is stochastically stable in the mean square sense with less conservative stabilization conditions.

Sufficient conditions are obtained such that the filtering error system is exponentially stable in the mean-square sense with a prescribed H∞ performance level.

Firstly, in light of the property of χ2 distribution, the predictions of detection probabilities under attacks are calculated in mean-square sense for these two attack scenarios.

Then, sufficient stability criterion to judge the mean-square sense asymptotically stable and stabilization criterion to co-design the parameters of the communication scheme and controller are obtained for the system under consideration.

This paper develops a new class of criteria for designing a controller to stabilise a stochastic system almost surely which is unable to be stabilised in mean-square sense.

For guaranteeing to use the scheme, a new LMIs-based criterion is established to ensure the exponential stability of the underlying sliding mode dynamics (SMDs) in mean-square sense with H∞ performance.