Abstract
This paper describes computer algebra algorithms for the application of certain differential geometric tools to the analysis and design of nonlinear control systems. Feedback equivalence among nonlinear systems is used to linearise and thereby control certain classes of nonlinear control systems. Left and right invertibility of nonlinear systems is used to solve the output tracking problem. The algorithms include functions that perform basic differential geometric computations, two modules for study and analysis of nonlinear control systems, and two packages for the design of nonlinear controllers for the output tracking problem.
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