Fliess, Michel; Lévine, Jean; Rouchon, Pierre Generalized state variable representation for a simplified crane description. (English) Zbl 0782.93049 Int. J. Control 58, No. 2, 277-283 (1993). Summary: Recent theoretical advances in nonlinear systems theory insist on the relevance of dynamics where control derivatives appear. We discuss here a simplified model of a crane which exhibits such a description. Cited in 7 Documents MSC: 93C15 Control/observation systems governed by ordinary differential equations 93C10 Nonlinear systems in control theory Keywords:state variable representation PDFBibTeX XMLCite \textit{M. Fliess} et al., Int. J. Control 58, No. 2, 277--283 (1993; Zbl 0782.93049) Full Text: DOI References: [1] DOI: 10.1080/00207178808906138 · Zbl 0648.93022 · doi:10.1080/00207178808906138 [2] D’ANDREA NOVEL B., Robust Control of Linear and Nonlinear Systems pp 523– (1990) · doi:10.1007/978-1-4612-4484-4_52 [3] DELALEAU E., Proceedings of the IFAC-Symposium NOLCOS’92 pp 209– (1992) [4] DELALEAU E., Proceedings of the 31st IEEE Control and Decision Conference pp 3663– (1992) [5] DOI: 10.1016/0167-6911(87)90101-0 · Zbl 0617.93024 · doi:10.1016/0167-6911(87)90101-0 [6] DOI: 10.1515/form.1989.1.227 · Zbl 0701.93048 · doi:10.1515/form.1989.1.227 [7] FLIESS M., Realization and Modelling in System Theory pp 1– (1990) · doi:10.1007/978-1-4612-3462-3_1 [8] DOI: 10.1109/CDC.1991.261409 · doi:10.1109/CDC.1991.261409 [9] FLIESS M., Comptes Rendus, Académie des Sciences pp 1–315– (1992) [10] DOI: 10.1109/TAC.1978.1101693 · Zbl 0376.93024 · doi:10.1109/TAC.1978.1101693 [11] DOI: 10.1007/BFb0043027 · doi:10.1007/BFb0043027 [12] DOI: 10.1109/TAC.1979.1102181 · Zbl 0427.93020 · doi:10.1109/TAC.1979.1102181 [13] ISIDORI A., Nonlinear Control Systems (1989) · Zbl 0693.93046 · doi:10.1007/978-3-662-02581-9 [14] LANDAU L., Mechanics, (1982) [15] DOI: 10.1109/13.57076 · doi:10.1109/13.57076 [16] DOI: 10.1109/9.14420 · Zbl 0661.93035 · doi:10.1109/9.14420 [17] NIJMEUER H., Nonlinear Dynamical Control Systems (1990) · doi:10.1007/978-1-4757-2101-0 [18] DOI: 10.1109/TAC.1981.1102657 · Zbl 0488.93026 · doi:10.1109/TAC.1981.1102657 [19] SLOTINE J. J. E., Applied Nonlinear Control (1991) · Zbl 0753.93036 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.