Geodesic
Numerical simulation of nonlinear dynamic systems with vector input by~quadratic Volterra polynomials
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 53-59

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Second degree quadratic polynomial Volterra integral equations of the first kind are considered. Such equations arise in the automatic control problem of a nonlinear dynamic system. An adaptive algorithm based on feedback is developed. Results of test calculations for the reference heat exchanger model are produced.
Keywords: nonlinear dynamic system, polynomial Volterra integral equation of the first kind, heat exchange. 
@article{VYURM_2012_7_a6,
     author = {S. V. Solodusha},
     title = {Numerical simulation of nonlinear dynamic systems with vector input by~quadratic {Volterra} polynomials},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {53--59},
     publisher = {mathdoc},
     number = {7},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2012_7_a6/}
}
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S. V. Solodusha. Numerical simulation of nonlinear dynamic systems with vector input by~quadratic Volterra polynomials. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 53-59. http://geodesic.mathdoc.fr/item/VYURM_2012_7_a6/