Abstract
The analysis and design of control systems has been greatly influenced by the mathematical tools being used. Maxwell introduced linear differential equations in the 1860’s. Nyquist, Bode and others started the systematic use of tranfer functions, utilizing complex analysis in the 1930’s. Kalman brought forward state space analysis around 1960. For nonlinear systems, differential geometric concepts have been of great value recently. We will argue here that algebraic methods can be very useful for both linear and nonlinear systems. To give some motivation we will begin by looking at a few examples.
Work partially supported by the G.R. “Automatique” of the French “Centre National de la Recherche Scientifique”.
Work partially supported by the Swedish Research Council for Enigineering Sciences and by the G.R. “Automatique” of the French “Centre National de la Recherche Scientifique”.
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Fliess, M., Glad, S.T. (1993). An Algebraic Approach to Linear and Nonlinear Control. In: Trentelman, H.L., Willems, J.C. (eds) Essays on Control. Progress in Systems and Control Theory, vol 14. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0313-1_8
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