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IMA Journal of Mathematical Control and Information 1990 7(2):191-198; doi:10.1093/imamci/7.2.191
© 1990 by Institute of Mathematics and its Applications
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Past and Future Developments in Controllability, Decoupling, and Invertibility of Nonlinear Control Systems

D. J. BELL and GUOLIN PAN

Department of Mathematics UMIST, Manchester M60 1QD, UK
Department of Mathematics, Northwestern Polytechnical University Xian, People's Republic of China

In the past twenty years, there has been much research activity in the use of differential geometry techniques to develop a mathematical theory of nonlinear control systems. The concept that have been so important in linear system theory have been reinterpreted for the nonlinear case. In the last few years, an algebraic approach has been put forward as another method of investigating nonlinear control systems. This present paper looks at the development of three particular topics which have attracted the attention of both the geometers and the algebraists.


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