Nonlinear Control Systems
Algebraic structure theory of sequential machines (Prentice-Hall international series in applied mathematics)
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For dynamic systems described by differential equations with smooth functions in the state space, the size of the parameter space is minimized such that the input-output image of the system is preserved by finding the complete set of algebraic invariants for a fixed structure of the equations of the system. A relationship between the constructs of the algebra of functions used in the problem and the mathematical constructs used in the differential geometric approach is established. A method for finding the algebraic invariants--the analogs of Markov parameters of linear systems--is described.