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According to the above analyses, we can design kinetic parameters and decay rates in N ∈ [ N1, N2] of the stochastic gene network in (16) to achieve both the robust stabilization to tolerate the stochastic parameter fluctuation and the filtering ability of external disturbance in (18).
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It uses a parameter dependent Lyapunov-Krasovskii functional that allows to assure the robust stability or the robust stabilization of a switched system for arbitrary switching functions.
Firstly, a sufficient condition for robust stabilization has been derived; secondly, the corresponding linear state-feedback stabilizing controller has been designed if the robust stabilization condition is not satisfied.
When the system has polytopic uncertainties, the robust stabilization problem is studied as well.
Delay-dependent criteria are proposed to guarantee the robust stabilization of systems.
A controller with delay feedback for the robust stabilization of the system is proposed.
The robust stabilization problem for a family of linear multivariable interval plants is considered.
The robust stabilization is guaranteed when a set of linear matrix inequalities (LMIs) formulated get satisfied.
Then we address the robust stabilization using nominal and resilient feedback designs.
This paper investigates the robust stabilization problem for uncertain linear systems with interval time-varying delays.
Based on the Lyapunov Krasovskii delay-independent and delay-dependent analyses, sufficient conditions for the robust stabilization are derived.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com