### BibTeX

@MISC{Zemliak_generalmethodology,

author = {A. Zemliak},

title = {General Methodology for System Design},

year = {}

}

### OpenURL

### Abstract

Abstract:- The main step of some system design is the optimization strategy that minimizes of the objective function and determines the optimum values of all system's elements. The evaluation of the operations number for different strategies gives the possibility to select the optimum or quasi-optimum strategy that is needed of the minimum computer time. From the optimization theory point of view the traditional design strategy can be determined as an optimization of some objective function with constraints. The model of the system is the constraints in that case. From the other hand it is possible to use the general design strategy or control theory for the system design. The evaluation of operations number for the system design has been done for general design strategy. More general methodology for the system and circuit design was elaborated by means of optimum control theory formulation. By this theory the problem of the system design can be formulated as the classical problem of the optimal control for the minimum time. In that context the aim of optimal control is to result each right hand side of the main system of the differential equations dxi / dt = f i ( x1,x2,...,xN,u1,u2,...,uM) to zero for the final time fin and minimize the total computer time T. These equations include the special control functions u1, 2,...,uM that are introduced into consideration artificially to generalize the total design process. Optimum dependencies of these control functions uj give us the minimum computer design time. This approach generalizes the design process and generates infinite number of the different design strategies. The problem of the optimal behavior definition of the control functions uj can be solved adequately by means of the special optimization procedure or by means of Pontryagin's maximum principle. The analysis of different types of electronic systems shows that the optimal strategy can be fined by control theory formulation and maximum principle. In that case it is possible to reduce the total operations number to many times and accelerate the design process. Key Words:- Optimal system design, control theory approach, maximum principle. 1

### Keyphrases

system design general methodology maximum principle design process objective function control function general design strategy operation number optimal control different strategy optimization theory point optimization strategy control theory formulation quasi-optimum strategy special control function total computer time infinite number main system total operation number electronic system differential equation minimum computer time optimal behavior definition optimum value control theory control theory approach classical problem main step final time fin optimum control theory formulation traditional design strategy minimum time optimum dependency special optimization procedure different design strategy circuit design right hand side minimum computer design time different type total design process key word optimal system design optimal strategy many time