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The idea of a bounded region, e.g., the circle, contains nothing which depends on its absolute magnitude.
The points not in the Mandelbrot set are colored according to how quickly the point escapes from a bounded region.
By using the singular perturbation theory, the system states are finally constrained in a bounded region.
These points bounce around a bounded region of the plane close to the origin, but do so in a chaotic way, never repeating the same patterns.
The sensitivity is evaluated by considering the behavior of the design when the parameters vary within a bounded region.
The procedure assumes the linearity of the sound field away from a bounded region surrounding the airfoil.
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A bounding region for spiral curve segments shaped by two circular arcs, parts of the osculating circles at the spiral's endpoints, and two lines is introduced.
Once the controlled attitude control system reaches the switching hyperplane, the state variables can be driven into a small bounded region.
This might correspond to a sharply bounded region of turbulence, for example.
Assuming the CSI uncertainty lies in a norm bounded region, two performance metrics, mutual information and MSE, were adopted to design the MIMO AF relay precoders in [11].
By using the introduced new Lyapunov Krasovskii functional, we show that the solution of the resultant closed-loop system converges exponentially to an adjustable bounded region.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com