Sensitivity coefficients for many-dimensional continuous and discontinuous dynamic systems with delay time

Тип публикации: статья из журнала

Год издания: 1999

Ключевые слова: Control system analysis, Control system synthesis, Delay control systems, Differential equations, Functions, Sensitivity analysis, Variational techniques, Conjugate equations, Discontinuous differential equations, Sensitivity functionals, Nonlinear control systems

Аннотация: The variational method of account of sensitivity coefficients (components of vector gradient from the quality function to constant parameters) and sensitivity functionals (connecting first variation of the quality function with variations of variable parameters) for many-dimensional non-linear continuous dynamic systems circumscribed by the differential equations with lagging argument is constructed. The variational method obtains of sensitivity coefficients for many-dimensional non-linear dynamic systems circumscribed by the differential equations with dead time, having discontinuity of right members and phase coordinates. In a basis of account the solution of the appropriate conjugate equations (in a discontinuous case too of discontinuous differential equations with delay time) in the opposite direction of time lays. As examples the sensitivity coefficients for continuous and discontinuous dynamic systems with and without delay are obtained.

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Издание

Журнал: Advances in modelling and analysis. A, general mathematical and computer tools, Tassin-la-Demi-Lune, France

Выпуск журнала: Vol. 36, Is. 1

ISSN журнала: 12585769

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