Solution of state-space equations via block-pulse functions
- 1 September 1978
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 28 (3) , 383-392
- https://doi.org/10.1080/00207177808922465
Abstract
A recursive algorithm is developed for the piecewise-constant solution of dynamic equations via block-pulse functions φj(t),where j=1,2,...,m. For 1≤j≤m (where j and m are integers) and final timeT, each block-pulse function φj(t) is defined by φj(t)=1 for (j−1)T/m≤t and φj(t)=1otherwise. Compared with Walsh function approaches, the proposed method is simpler to compute, is more suitable for computer programming, and provides the same accuracy. Also, a discrete-time solution is derived for a zero-input state equation.Keywords
This publication has 4 references indexed in Scilit:
- Time-domain synthesis via Walsh functionsProceedings of the Institution of Electrical Engineers, 1976
- A state-space approach to Walsh series solution of linear systemsInternational Journal of Systems Science, 1975
- System identification via Walsh functionsProceedings of the Institution of Electrical Engineers, 1975
- Solution of differential and integral equations with Walsh functionsIEEE Transactions on Circuit Theory, 1973