V.M. ABDULLAYEV, S.G. TALIBOV
NUMERICAL SOLUTION OF INVERSE PROBLEMS FOR LOADED DYNAMIC SYSTEMS
The numerical solution of optimization problem of corresponding functions of reaction loading places respectively the objects described by systems of loaded ordinary differential equations are investigated. For optimization, the functional of the problem using numerical first-order methods analytical formulas for the gradient of the functional with respect to optimized parameters of loading were obtained. The results of numerical experiments are present. The proposed approach can be also applied to optimize parameters of loading for distributed systems described by differential equations with partial derivatives, which are reduced to the studied problem using the method of lines.
Keywords: loaded differential equations, place of loading, reaction to loading, optimal control, nonlocal conditions, the inverse problem, integral conditions
NUMERICAL SOLUTION OF INVERSE PROBLEMS FOR LOADED DYNAMIC SYSTEMS
The numerical solution of optimization problem of corresponding functions of reaction loading places respectively the objects described by systems of loaded ordinary differential equations are investigated. For optimization, the functional of the problem using numerical first-order methods analytical formulas for the gradient of the functional with respect to optimized parameters of loading were obtained. The results of numerical experiments are present. The proposed approach can be also applied to optimize parameters of loading for distributed systems described by differential equations with partial derivatives, which are reduced to the studied problem using the method of lines.
Keywords: loaded differential equations, place of loading, reaction to loading, optimal control, nonlocal conditions, the inverse problem, integral conditions