COMPUTER ANALYSIS ALGORITHM OF STABILITY OF NONLINEAR CONTINUOUS-TIME LEONTIEF INPUT-OUTPUT MODEL

This paper investigates a kind of computer algorithm for analyzing the stability and stabilization of nonlinear continuous-time singular dynamic Leontief input-output model. A new mathematic method is applied to directly study the singular dynamic input-output systems instead of transforming the singular systems into general systems. With the computer analysis algorithm derived from this paper, the singular nonlinear Leontief input-output model can be easily researched by computers. A kind of stability condition under which the singular input-output model is admissible is proved with the form of linear equations. Based on these matrix multinomial, the control strategy of economic systems can be established to improve the economic development.