Weinhofer, Jürgen K.; Haas, Werner C. \(H_ \infty\)-control using polynomial matrices and interval arithmetic. (English) Zbl 0884.65067 Reliab. Comput. 3, No. 3, 229-237 (1997). A linear time-invariant system is considered. An \(H_\infty\)-approach (using transfer and polynomial functions) to calculate compensators in the frequency domain is proposed. For the computer implementation an interval arithmetic method is applied to realize numerical algorithms with result verification. This approach is applied to the lateral axis of a single engine VISTA F-16 supersonic test vehicle. Reviewer: M.I.Krastanov (Sofia) Cited in 1 Document MSC: 65K10 Numerical optimization and variational techniques 65G30 Interval and finite arithmetic 93B36 \(H^\infty\)-control 93C99 Model systems in control theory Keywords:\(H_ \infty\)-control; interval arithmetic; linear time-invariant system; numerical algorithms; result verification; supersonic test vehicle PDFBibTeX XMLCite \textit{J. K. Weinhofer} and \textit{W. C. Haas}, Reliab. Comput. 3, No. 3, 229--237 (1997; Zbl 0884.65067) Full Text: DOI