Modeling Fixed Assets System And Analyzing Its Characteristics Based On Markov Jump Theory

This paper establishes a model describing dynamic changes of the fixed assets based on the theory of economic control.As there are random factors in the real economic process,this paper establishes a fixed assets system model based on Markov jump theory using the Markov jump theory.A problem of controllability of discrete time jump linear systems is considered for the studying of characteristics related to the fixed assets system model.Necessary and sufficient conditions for existence of a control which governs the expectation of the output of the system from any initial condition to a given target value at a given time are presented.The concept of output controllability with probability is presented.We compare it with the concept of output controllability with respect to the expectation to show the relationship between them.On the basis of above-mentioned theories,the controllability,observability and stability of the fixed assets system are analysed.And the fixed assets system is controlled by the method of state feedback and pole.According to the relevant conclusions of the controllability with respect to the expectation of discrete time jump linear systems,the controllability of the fixed assets system based on Markov jump theory is analyzed.The analysis of the controllability of the fixed assets system based on the Markov theory shows that the production managers can adjust the differences between input and output of the fixed assets with the investment of the newly built fixed assets to achieve a target at one moment in the future.