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Closed-loop performance and stability are assessed via sector bounds quantifying the maximum allowable precompensator error.
The unknown nonlinearity is conventionally assumed to lie in a given sector while the sector bounds are known.
Stochastic variables subject to the Bernoulli white sequences are employed to determine the nonlinearities occurring in different sector bounds.
Stochastic variables subject to the Bernoulli white sequences are employed to govern the nonlinearities occurring in different sector bounds.
The proposed optimization problem is achieved using a special loop transformation to normalize the arbitrary sector bounds and by other linear matrix inequalities (LMI) techniques.
Sector bounds and slope bounds are used on a Lyapunov Krasovskii functional through convex representation of the nonlinear function so that a less conservative H∞ stability criterion is obtained.
Similar(51)
Moreover, the performances of H∞, sector bounded and mixed H∞ and passivity can be obtained as the special cases from the established result.
It is shown that the PLQ induces sector bounded nonlinear uncertainties in multiplicative and relative forms for vector-valued analog signals, similar to those in the scalar case.
This class consists of the systems described by Takagi Sugeno (T S) models with a sector bounded nonlinear additive term and saturated control signals.
Both for the cases of incrementally passive as well as incrementally sector bounded nonlinearities we obtain sufficient conditions for the existence of fully distributed robustly synchronizing protocols.
The Lur'e system is one of a significant class of nonlinear systems and has a nonlinear element satisfying certain sector bounded constraints.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com