Technology of optimal designing of complex structured systems with distributed parameters: program strategy of decision making

As a basic problem, the deterministic problem of optimal design is considered to find program control of operational modes for distributed system with well-determined object characteristics. Suggested method for the problem solution is extended to the optimization problems for design solutions under conditions of a priori known external inputs on the object. The method is also applied to the complex problem of the joint optimization and to the typical cases of optimal design of the distributed system under conditions of interval uncertainty of the system’s parametric characteristics and external disturbances. Developed approach uses: the procedure of subsequent parameterization of problems' solutions that is based on well-known analytical conditions of optimality; precise reduction to the special problems of mathematical programming; alternance properties of extremum solutions that are similar to well-known results of theory of non-linear Chebyshev's approximations; and fundamental regularities of the subject domain. The given example of an application of the received results to the optimal design problem solution for industrial object of the technological thermal physics is of a special interest. The formulation of the problem of distributed parameters system design as a complex problem of joint determination of the vector space-time control actions is new. The approach for development of program strategies of the decision making that can be extended to the considered problems class is also new.