论文信息 - Simulation and Control of System Dynamic of Water Pollutions based on Modeling of Differential Equations using Inverse GM

Simulation and Control of System Dynamic of Water Pollutions based on Modeling of Differential Equations using Inverse GM

In order to create the model of differential equations of system using limited and poor datum in the simulation of system dynamic the inverse GM model is proposed in this paper. In the system with poor information the classic estimation of parameter is difficult to be used to create the model of differential equations for analysis and forecasting. For this the principle and process of inverse GM model are studied according the grey GM model. Then inverse GM model is used in the in simulation of system dynamic of water pollutions to create the differential equations and simulate and forecast the future behaviors. The application case verifies the method of inverse GM model.

Wang Hongli

[1] Yi Lin,et al. Introduction to Grey Systems Theory , 2010 .

[2] E. Coddington,et al. Theory of Ordinary Differential Equations , 1955 .

[3] Hulin Wu,et al. Parameter Estimation for Differential Equation Models Using a Framework of Measurement Error in Regression Models , 2008, Journal of the American Statistical Association.

[4] J. Deng,et al. Introduction to Grey system theory , 1989 .

[5] J. Deng,et al. Properties of multivariable Grey model GM(1,N) , 1989 .

[6] Deng Ju-Long,et al. Control problems of grey systems , 1982 .

[7] A. Valle,et al. Diffusion of nuclear energy in some developing countries , 2014 .

[8] Igor Podlubny,et al. Modeling of the national economies in state-space: A fractional calculus approach , 2012 .

[9] Stephen A. Billings,et al. Identification of Partial Differential Equation Models for Continuous Spatio-Temporal Dynamical Systems , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[10] M. Mao,et al. Application of grey model GM(1, 1) to vehicle fatality risk estimation , 2006 .

[11] J. Mi,et al. Theoretical Analysis of Fas Ligand‐Induced Apoptosis with an Ordinary Differential Equation Model , 2012, Molecular informatics.

[12] C. Y. Lin,et al. Grey and neural network prediction of suspended solids and chemical oxygen demand in hospital wastewater treatment plant effluent , 2007, Comput. Chem. Eng..