Title :
Coefficients and functionals of sensitivity for continuous many-dimensional dynamic systems described by integral equations with delay time
Author_Institution :
Krasnoyarsk State Tech. Univ.
Abstract :
The variational method of calculation of sensitivity coefficients (components of vector gradient from quality function to constant parameters) and sensitivity functionals (connecting first variation of quality function with variations of variable parameters) for multivariate nonlinear dynamic systems, described by continuous Volterra integral equations of the second order with delay time, is developed. The basis of calculation is the decision of corresponding integral conjugate equations for Lagrange multipliers in reverse order (on time)
Keywords :
Volterra equations; delay systems; multivariable control systems; nonlinear dynamical systems; sensitivity analysis; variational techniques; Lagrange multipliers; Volterra equations; conjugate equations; constant parameters; continuous many-dimensional dynamic systems; delay time; integral equations; multivariate nonlinear dynamic systems; quality function; reverse order; sensitivity coefficients; sensitivity functionals; variable parameter variations; variational method; vector gradient; Autobiographies; Delay effects; Delay systems; Differential equations; Integral equations; Joining processes; Lagrangian functions; Nonlinear dynamical systems; Nonlinear equations;
Conference_Titel :
Electronic Instrument Engineering Proceedings, 2000. APEIE-2000. Volume 1. 2000 5th International Conference on Actual Problems of
Conference_Location :
Novosibirsk
Print_ISBN :
0-7803-5903-8
DOI :
10.1109/APEIE.2000.913105