Simulation of a class of delay stochastic system with distributed parameter is discussed. Difference schemes for the numerical computation of delay stochastic system are obtained. The precision of the difference schem...
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Simulation of a class of delay stochastic system with distributed parameter is discussed. Difference schemes for the numerical computation of delay stochastic system are obtained. The precision of the difference scheme and the efficiency of the difference scheme in simulation of delay stochastic system with distributed parameter are analyzed. Examples are given to illustrate the application of the method.
Sliding mode control problem of a class of Ito^ type partial differential equations with delay is probed. The variable structure controller is designed. The existence of motion of sliding mode is shown. And the charac...
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Sliding mode control problem of a class of Ito^ type partial differential equations with delay is probed. The variable structure controller is designed. The existence of motion of sliding mode is shown. And the character of invariance of sliding control system about uncertainty on the sliding switching surface and stability are analyzed.
This paper presents a novel solution to the partial eigenvalue assignment problem of an undamped gyroscopic distributed parameter system. The partial eigenvalue assignment problem is the problem of reassigning by feed...
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This paper presents a novel solution to the partial eigenvalue assignment problem of an undamped gyroscopic distributed parameter system. The partial eigenvalue assignment problem is the problem of reassigning by feedback a few undesired eigenvalues of the open-loop operator pencil while leaving the remaining infinite number of eigenvalues unchanged. The distinctive practical features of our solution are (i) it requires the solution of only a small finite-dimensional linear algebraic system and knowledge of only a small finite number of eigenvalues and eigenvectors of the infinite-dimensional open-loop operator pencil. (ii) no spill-over occurs, that is, the remaining infinite number of eigenvalues and eigenvectors that are required to remain invariant will remain in their places and (iii) it is obtained completely in a distributed parameter setting and no discretisation to second-order system of differential equations is invoked so that vital inherent properties of the original system are fully preserved. Because of the above-mentioned practical features, the proposed solution is readily applicable to stabilise or to combat the effects of excessive vibrations in a large structure. (C) 2002 Elsevier Science Ltd.
In this paper, we derive in time domain the fundamental solution and relevant properties of the fractional order weighted distributed parameter Maxwell model (FOWDPMM). The weight function is replaced by the truncated...
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In this paper, we derive in time domain the fundamental solution and relevant properties of the fractional order weighted distributed parameter Maxwell model (FOWDPMM). The weight function is replaced by the truncated Fourier series, which is leading to three basic fractional order distributed parameter elements. The inverse Laplace transforms of the distributed parameter operators are derived by cutting the complex plane and computing the complex path integral along the Hankel path. The asymptotic property and boundary problem are discussed by using the inverse Laplace transform, the energy of the weight function and the band width of the Fourier series. The relaxation modulus of FOWDPMM is solved as well, which is closely related to some other viscoelastic phenomena as creep, precondition and hysteresis. A number of novel characteristics of FOWDPMM such as power-law decay and intermediate phenomenon are concluded as well. Several illustrated examples are provided to validate the concepts. (C) 2012 Elsevier Ltd. All rights reserved.
In this paper, an original solution of modeling and control of a distributed parameter13C isotope separation process is presented. The mentioned technological process takes place into a separation column, whose work e...
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Modeling and compensating for hysteresis are widely adopted to eliminate hysteresis. The distributed parameter Maxwell-slip (DPMS) model is developed from the Maxwell-slip model by replacing the spring-slider elements...
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Modeling and compensating for hysteresis are widely adopted to eliminate hysteresis. The distributed parameter Maxwell-slip (DPMS) model is developed from the Maxwell-slip model by replacing the spring-slider elements with an elastic-sliding cell with distributed parameters. Motivated by the mechanism of human memory, this article proposes a finite-memory (FM) discretization approach for the DPMS model. The change in the infinite internal state is represented by updating the finite peak points. The FM approach is verified using a piezoelectric actuator, and the normalized mean square error is 0.27%. Thus, the FM approach is also advantageous for managing small-amplitude excitations.
作者：
Proost, Johannes H.Univ Groningen
Groningen Res Inst Pharm Dept Pharmacokinet Toxicol & Targeting Groningen Netherlands Univ Groningen
Univ Med Ctr Groningen Dept Anesthesiol Groningen Netherlands
The mean, standard deviation, and coefficient of variation in the normal domain are 'inflated' by the contribution of high values in the upper tail of the distribution, and this effect increases with increasin...
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The mean, standard deviation, and coefficient of variation in the normal domain are 'inflated' by the contribution of high values in the upper tail of the distribution, and this effect increases with increasing a. This is reflected in higher values of CV calculated using Eq. 1.
[...]it may be questioned whether the CV according to Eq. 1 is a useful and meaningful measure of variability if the underlying values are log-normally distributed.
[...]the CV according to Eq. 2 is the appropriate measure of variability if the distribution is assumed to be log-normal.
[...]it should be stressed that the method for calculation of CV should be explicitly described in reports and articles.
An optimal dynamicai control of a linear reactor as a distributed parameter system is abtained numerically along with an anaiytical expression of the integral equation that should be satisfied by the optimal control. ...
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An optimal dynamicai control of a linear reactor as a distributed parameter system is abtained numerically along with an anaiytical expression of the integral equation that should be satisfied by the optimal control. The function space methcd is employed to derive the equation, and it is known from the numericaJ experience that only the fundamental of expanding modes is enough to describe the integral kernel of the ***-dependence is colected in the forcing term of the equation. The reactor core model is of two groups of neutrons in steady state and one group of precursors. Two performance functionals are tried. Both are quadratic but one is of the precursor history and the control, whereas, another is of the neutron flux density and the control. The latter formulation partly dissolves the weighting problem in the quadratic perfcrmance fufictional.
Inner stability and stabilization of Cohen-Grossberg generalized delay stochastic neural network with distributed parameter are discussed. The main method adopted is, combining inequality techniques, to apply Ito diff...
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Inner stability and stabilization of Cohen-Grossberg generalized delay stochastic neural network with distributed parameter are discussed. The main method adopted is, combining inequality techniques, to apply Ito differential formula to the constructed average function with respect to spatial variables along the system considered under the integral operator. Some sufficient conditions are given.
A computational algorithm based on an orthogonal collocation approach is developed to simulate a BNR activated sludge process consisting of anaerobic, anoxic and aerobic zones in a back-to-back scheme. The hydraulic m...
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A computational algorithm based on an orthogonal collocation approach is developed to simulate a BNR activated sludge process consisting of anaerobic, anoxic and aerobic zones in a back-to-back scheme. The hydraulic model employed in this study considers backmixing or intermixing, which can represent the actual process more accurately than the idealised flow schemes commonly employed for modelling and/or design of the activated sludge bioreactor. The kinetic model of the International Association on Water Quality (IAWQ) - Activated Sludge Model No. 2 (ASM No. 2) was reduced to submodels representing the anaerobic, anoxic and aerobic zones. Validation of simulated results against pilot-scale experimental data suggested that the new computational algorithm is able to predict the behaviour of components of interest reasonably well despite uncertainties with processes and parameters related to phosphorus accumulating organisms. Predicted transient properties may be gainfully employed for improvement to the operation and control of the process. (C) 1999 IAWO Published by Elsevier Science Ltd All rights reserved.
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