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Generalization of Heaviside's Expansion Technique to Transition Matrix Evaluation

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2 Author(s)

The well-known technique of the Heaviside partial fraction expansion is generalized and extended to the state transition matrix determination. The new approach is more convenient than the direct inversion of a square matrix, on one hand, and is much simpler than Sylvester's expansion method, on the other. Two examples (one is a system with distinct roots and one with multiple roots) are included for illustrating the procedures and showing the simplicity of the method.

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Education, IEEE Transactions on  (Volume:9 ,  Issue: 4 )