Speciality:
05.13.16 (Computer techniques, mathematical modelling, and mathematical methods with an application to scientific researches)
Birth date:
27.06.1960
Phone: +7 (8142) 76-63-12
Fax: +7 (8142) 76-63-13
E-mail: Website: https://www.krc.karelia.ru/HP/zaika Keywords: observability of nonlinear dynamical systems; boundary-value problems of diffusion with nonlinear dynamical boundary conditions; parametric identification.
UDC: 517.9, 517.977, 517.958, 519.628, 519.633.9, 62.50
MSC: 93B07, 93B30, 93C41, 93D15, 65L09, 65M32, 65N21, 35K57
Subject:
Duality principle which is well known in linear observability and control theory is generalized for nonlinear dynamical systems. Possibility of phase state reconstruction in analytical dynamical systems by stable discrete observation programs is proved. The solvability of the boundary-value problems of hydrogen interraction with solids with nonlinear dynamical boundary conditions is investigated. The methods of inverse problem solution of parametric identification of hydrogen permeability models are propozed.
Main publications:
Zaika Yu.V., Bormatova E.P., “Parametricheskaya identifikatsiya modeli vodorodopronitsaemosti po vremenam zapazdyvaniya”, Zhurnal tekhnicheskoi fiziki, 80:3 (2010), 31–39
Zaika Yu. V., Rodchenkova N.I., “Boundary-value problem with moving bounds and dynamic boundary conditions: diffusion peak of TDS-spectrum of dehydriding”, Applied Mathematical Modelling, 33:10 (2009), 3776–3791
Zaika Yu.V., “Identification of a hydrogen transfer model with dynamical boundary conditions”, International Journal of Mathematics and Mathematical Sciences, 2004, № 4, 195–216
Zaika Yu.V., “Integral observability operators of nonlinear dynamical systems”, International Journal of Mathematics and Mathematical Sciences, 2003, no. 55, 3519–3538
Zaika Yu.V., “Interval estimates of functionals in time-delay systems with uncertainty”, International Journal of Mathematics and Mathematical Sciences, 2003, no. 56, 3573–3590
