Algebraic approach to discrete linear control
- 1 February 1975
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 20 (1) , 116-120
- https://doi.org/10.1109/tac.1975.1100832
Abstract
A new unified approach to the optimal control of discrete linear constant systems is presented. The approach is based exclusively on algebraic properties of polynomials and the synthesis procedure reduces to solving a linear polynomial Diophantine equation. This is believed to be conceptually simpler and computationally superior to existing methods.Keywords
This publication has 3 references indexed in Scilit:
- A numerical method for the evaluation of complex integralsIEEE Transactions on Automatic Control, 1970
- Irreducible Realizations and the Degree of a Rational MatrixJournal of the Society for Industrial and Applied Mathematics, 1965
- Mathematical Description of Linear Dynamical SystemsJournal of the Society for Industrial and Applied Mathematics Series A Control, 1963