A.A. Dolinina – Post-graduate Student, Department of Computer Engineering and Control Systems,
Vladimir State University named after A.&N. Stoletovs

E-mail: anastasiia.dolinina@gmail.com

V.N. Lantsov – Dr. Sc. (Eng.), Professor, Head of Department of Computer Engineering and Control Systems, Vladimir State University named after A.&N. Stoletovs

E-mail: lantsov@vlsu.ru

The article proposes modifications of model order reduction methods based on piecewise linear and piecewise polynomial approximation in combination with the developed algorithm of points selection for crosslinking of local approximations

1. Rewienski M., White J. A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices // IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 2003. V. 22. P. 155−170.
2. Vasilyev D., Rewienski M., White J. Macromodel generation for bio MEMS components using a stabilized balanced truncation plus trajectory piecewise-linear approach // IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 2006. V. 25. P. 285−293.
3. Vasilyev D., Rewienski M., White J. Macromodel generation for bio MEMS components using a stabilized balanced truncation plus trajectory piecewise-linear approach // IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 2006. V. 25. P. 285−293.
4. Bond B.N., Daniel L. Stable Reduced Models for Nonlinear Descriptor Systems through Piecewise-Linear Approximation and Projection // IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems. October 2009. V. 28. № 10. P. 1467−1480.
5. Dong N. General-Purpose Nonlinear Model-Order Reduction Using Piecewise-Polynomial Representations // IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. February 2008. V. 27. № 2. P. 1307−1320.
6. Dong N., Roychowdhury J. Piecewise polynomial nonlinear model reduction // Proc. IEEE Des. Autom. Conf. 2003. P. 484−489.
7. Dolinina A.A., Lanczov V.N.  Metod ponizheniya poryadka modelej na osnove ryadov Vol'terra // Dinamika slozhny'x sistem - XXI vek. 2016. № 3. S. 50−54. ISSN 1999-7493.
8. Lanczov V.N.,Dolinina A.A.  Metod ryadov Vol'terra dlya ponizheniya poryadka modelej slozhny'x sistem // Reshenie. Permskij naczional'ny'j issledovatel'skij politexnicheskij universitet. 2016. T. 1. S. 301−302.
9. Lanczov V.N., Dolinina A.A., Pankratov A.V. Algoritmy' makromodelirovaniya slozhny'x nelinejny'x e'lektronny'x sistem  // Dinamika slozhny'x sistem. 2014. № 6. T. 8. S. 23−29. ISSN 2221-2574.
10. Dolinina A., Gerfers F., Lantsov V. Fast algorithm for points selection in trajectory piecewise-model order reduction // Analog Workshop 2017. Technische Universität. Berlin (Germany). 2−3 March 2017. S. 25.