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Minimal realization for positive multivariable linear systems with delay

100%

Kaczorek T. , Busłowicz M.

2004

tom Vol. 14, no 2

181-187

The realization problem for positive multivariable discrete-time systems with one time delay is formulated and solved. Conditions for the solvability of the realization problem are established. A procedure for the computation of a minimal positive realization of a proper rational matrix is presented and illustrated by an example.

Oczyszczanie strumieni poprodukcyjnych z procesów przetwórczych mleka

100%

Kawalec-Pietrenko B. , Kucharska K. , Hołowacz I.

2011

tom Nr 5

52-53

Zaproponowano zastosowanie substancji powierzchniowo czynnych w celu poprawy efektywności usuwania białek z serwatki metodą separacji pianowej. Stwierdzono, że zastosowanie surfaktantów anionowych SLS, Rosul-fami L, Sulforokanohi L327 i ABS/Na powoduje podwyższenie końcowego współczynnika wyflotowania w porównaniu do flotacji z roztworów białek oraz opóźnienie początku flotacji białka w stosunku do początku flotacji substancji powierzchniowo czynnej.

Application of selected surfactants was proposed to improve the efficiency of protein removal from whey streams by the foam separation technique. It was found that the use of anionic surfactants SLS, Rusulfan L, Sulforokanol L327 and ABS/Na causes an increase of the final removal ratio comparing to protein removal ratio from pure protein solutions. It also causes a delay in the beginning of protein flotation comparing to the start point of surf; flotation.

Influence of a Distributed Delay on Stabilization of Structure Vibration

100%

Tylikowski A.

2011

tom Vol. 15, nr 4

147--153

The purpose of this theoretical work is to present a stabilization problem of beam with a distributed model of feedback delay. A displacement feedback and particular polarization profiles of piezoelectric sensors and actuators are introduced. The structure is described by integro–partial differential equations with time–dependent coefficient. The uniform stochastic stability criteria of the beam equilibrium are derived using the Liapunov direct method. As the axial force is described by the wide–band gaussian process the dynamic equation has to be written as Itˆo evolution equation with white–noise coefficient and the Itˆo differential rule is applied in order to calculate the differential of Liapunov functional. The influence of the time–deley parameter, stiffness and intensity of axial force on dynamic stability regions is shown.

Finite-time stability and stabilization of singular state-delay systems using improved estimation of a lower bound on a Lyapunov-like functional

80%

Stojanovic S. B. , Debeljkovic D. L. , Antic D. S.

tom Vol. 63, nr 2

479--487

In this paper, the problems of finite-time stability and stabilization for a class of singular time-delay systems are studied. Using the Lyapunov-like functional (LLF) with (exponential or power) weighting function and a new estimation method for the lower bound on LLF, some sufficient stability conditions are introduced. It is shown that the weighting function significantly reduces the conservatism of the stability criteria in comparison to estimation of the lower bound on LLF without this function. To solve the finite-time stabilization problem, a stabilizing linear state controller is designed by exploiting the cone complementarity linearization algorithm. Two numerical examples are given to illustrate the effectiveness of the proposed method.