Significantly different, with p < 0.001: aall regions (except for right striatum), ball regions (except for left striatum), ccompared to all other brain regions, dall regions (except for the posterior cortical area), or eall regions (except for the frontal cortical area).
In this paper, we present the concept of cut-regions that could heavily improve the performance of metric indexes that were originally designed to employ simple ball-regions.
We show that the shape of cut-regions is far more compact than that of ball-regions, yet preserving simple and concise representation.
We present three re-designed metric indexes originating from the above-mentioned ones but utilizing cut-regions instead of ball-regions.
The problem is further modified to design robust beamformers for any lp ball uncertainty region by using a linear approximation.
For example, when Q mn = 1 / ξ mn 2 I, the ellipsoidal channel error model (6) reduces to ∥ e mn ∥ 2 ≤ ξ mn 2. This represents a ball uncertainty region [35] with uncertainty radius ξ mn.
The proposed observer yields almost global asymptotic stabilization of the position and attitude errors and exponential convergence in any closed ball inside the region of attraction.
