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By using the state transformation of nonlinear systems, the problem of designing controller can be converted into that of designing a dynamic parameter, which is dynamically regulated by a dynamic equation.
Moreover, the release mechanism was proven based on osmotic pressure and its profile could be well simulated by a dynamic equation.
With the help of the appropriate Lyapunov Krasovskii functionals, and a rescaling transformation with a gain to be tuned online by a dynamic equation, we propose a dynamic low gain state feedback control scheme.
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By denoting, (2.23) becomes a dynamic equation on time scale (2.24).
Balancing the active forces of the ring with the viscous and elastic forces exerted by the cell leads to a dynamic equation for the ring radius <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0000696.e016.PNG" class= inline-graphic"/> The contractile stress ∑ depends on the internal dynamics of actin filaments and the associated proteins in the ring.
In the present paper, we show how a stochastic viability kernel and viable feedbacks relying on probability (or chance) constraints can be defined and computed by a dynamic programming equation.
The system is firstly modeled by a non-autonomous dynamic equation with consideration of the valve dynamics.
In the case where the matrices are invertible for every, we can multiply both sides of (2.3) by to obtain an ordinary dynamic equation (2.5).
We used the code "NOAH" (NOnlinear Anelastic Hysteretic method, Bonilla 2001): This finite difference code propagates vertically incident plane SH ground motion in a soil deposit, by integrating the dynamic equation of motion at each time step.
The dynamics for the evolution of the length of the blade is given by the dynamic equation: (74) γ d L d t = − h σ x x − k PD (L − x HB ), where γ is an effective friction coefficient characterising dissipative processes external to the tissue.
After the rough gene regulatory network of inflammation system is constructed by integrating target genes with their regulators selected by cross correlation, the rough gene regulatory network is modeled by dynamic equation in (1) for further pruning.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com