Analysis and optimal control of time-varying systems via Chebyshev polynomials
- 1 November 1983
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 38 (5) , 1003-1012
- https://doi.org/10.1080/00207178308933124
Abstract
The operational properties of the forward and backward integration and the product of Chebyshev polynomials are derived. These properties are applied to the analysis and optimal control of time-varying linear systems by the approximation of time functions by truncated Chebyshev series. Due to the unique property of the Chebyshev polynomials excellent results are obtained as demonstrated by examples.Keywords
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