The method of calculate exponential function

The state-transition matrix in the linear control system has very important application. The calculation methods of state transition matrix Based on the theorem and an example have been given. Such as the method of Matrix diagonalization, Laplace transform, the matrix exponential function limited direct expansion, the differential equation and the method of undetermined coefficients usually can be used. Under different characteristic value and through contrast analysis, the author discusses the some of the calculation method. But the author requires readers according to the specific issues to make the best choice to calculate.