Efficient calculation of the discrete state transition matrix
| Autor: | M.V. Gmitrovic, M.M. Milic |
|---|---|
| Rok vydání: | 1979 |
| Předmět: |
State-transition matrix
0209 industrial biotechnology Mathematical optimization Series (mathematics) Computation 020208 electrical & electronic engineering Matrix norm 02 engineering and technology Matrix (mathematics) 020901 industrial engineering & automation Approximation error Simple (abstract algebra) 0202 electrical engineering electronic engineering information engineering Applied mathematics Electrical and Electronic Engineering Mathematics Electronic circuit |
| Zdroj: | Proceedings of the IEEE. 67:680-682 |
| ISSN: | 0018-9219 |
| Popis: | A simple direct numerical procedure is shown for the evaluation of the discrete state transition matrix of linear time-invariant systems with a prescribed accuracy. The procedure uses a power-series expansion and checks the accuracy of the elements of the truncated series in the course of computation by using a relative error criterion. The results demonstrate that this procedure, in general, requires a considerably reduced number of matrix terms in comparision with the conventional procedure based on the matrix norm criterion, even in the presence of severe numerical difficulties. |
| Databáze: | OpenAIRE |
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