AbstractsEngineering

newline Hybrid systems incorporate both continuous components usually newlinecalled plants which are governed by differential equations and also digital newlinecomponents such as digital computers sensors and actuators controlled by newlineprograms The differential equations containing fuzzy valued functions and newlinediscrete time controllers can be named as hybrid fuzzy differential equations newline HFDEs Most of the problems in science and engineering require the newlinesolutions of HFDEs which are satisfied in fuzzy initial conditions therefore a newlinefuzzy initial value problem occurs and should be solved It is too complicated newlineto obtain the exact solution of hybrid fuzzy differential equations analytically newlineThus numerical methods for solving hybrid fuzzy differential equations are newlineIntroduced newlineRunge Kutta method and Runge Kutta Nystrom method of order newlinethree is used to solve HFDEs numerically The strongly generalized derivative newlineis defined for larger class of fuzzy valued function than the H derivative and newlinefuzzy differential equations can have solutions which have a decreasing newlinelength of their support newline%%%reference p131-143.