On the Application of Symbolic Computation to Nonlinear Control Theory

1984 
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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