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If the system state does not exceed a prescribed region during a fixed time interval, it is said to have finite-time stability ((FTB)).
Moreover output constraints allow to maintain the behaviour into a prescribed region and/or stabilize the process in closed loop.
Moreover, the controller obtained by this algorithm can assign the resultant closed-loop poles in a prescribed region.
An approach for designing decentralized controllers that satisfy a H2-performance measure and place the closed loop poles in a prescribed region is proposed.
This problem is formulated as a parameter-free shape optimization problem, in which a squared displacements error norm on the prescribed region is employed as an objective functional.
Given a parametric LTI system, the set of parameters for which all roots lie in a prescribed region Γ in the complex plane can be determined.
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A standard Brodmann map (Brain Voyager QX) was co-registered to the average composite anatomic data set and used to prescribe Regions of Interest (ROI) in the right and left amygdala and fusiform gyri (Brodmann Areas 37 and 19).
Prescribed Area.
Then a new sufficient condition is proposed to guarantee all the poles of the fuzzy systems located within a prescribed LMI region by using the fuzzy Lyapunov functions method and introducing some free matrices.
The degree chosen for the approximation is the most important design parameter of the observer, in that it can be chosen such to ensure the convergence of the observation error at any desired exponential rate, in any prescribed convergence region (semiglobal exponential convergence).
Numerical investigations demonstrate that when a controlled maglev train travels over a suspended guideway shaken by horizontal earthquakes, the proposed hybrid controller has the ability to adjust the levitation gaps in a prescribed stable region for safety reasons and to reduce the vehicle's acceleration response for ride quality.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com