Mathematics

Numerical simulation of nonlinear dynamic systems with vector input by quadratic Volterra polynomials

S. V. Solodusha

Melentiev Energy Systems Institute SB RAS

Abstract: 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.

UDC: 517.968; 519.642

Received: 14.05.2012