Techniques of Matrix Exponential Function Derivative for Electrical Engineering Simulations

The paper presents four methods how to determine a derivative of the matrix exponential function in Matlab language. The necessity for such the computation appears at many cases of modelling and simulation problems. In the field of the electrical engineering it can be utilized for the sensitivity analysis of circuits with distributed parameters, like those containing multiconductor transmission lines. The methods based on the matrix exponential function Taylor series expansion, augmented matrix utilization, eigenvalues decomposition and the Pade approximation will be elaborated in this paper. All techniques have been programmed in the Matlab language environment while utilizing some built-in matrix-oriented functions with advantages.