Abstract
Applications of computer algebra to linear partial differential equations of first order and to nonlinear control theory are presented. It is shown how symbolic systems can compute automatically: (i) the dimension of the accessible set from a particular state for a nonlinear control system; (ii) the number of independent solutions for a system of linear partial differential equations of first order. The algorithms are based on the computation of certain distributions given a set of vector fields. Examples of application to robotics and power system equations are briefly discussed.
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