OPEN-LOOP MATRIX A,OPTIMUM CONSTRUCTION,AND INFLUENCE OF NONLINEARITY ON STABILITY OF OPTIMUM SYSTEM

<正> This paper treats the following three problems: (i) A new concept of open-loop matrix Ais given for unifying the two methods of the frequency response and state-space representa-tion. (ii) A new design method is suggested for realization of an optimum performance not bymeans of overall state feedback control, but by means of an optimum construction. (iii) Theinfluence of nonlinearity on the stability of the optimum system is analyzed. It is pointed outthat the nonlinear effects will break the stability of system containing three pure integratorsin its open-loop. while the system containing one or two pure integrators can be applied toengineering.