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A symbolic computational algorithm for designing feedback stabilizers of polynomial non-linear systems. (English) Zbl 1251.93108

Summary: The aim of this paper is to present a symbolic computational algorithm that will allow us to deal with the feedback stabilization problem for continuous nonlinear polynomial systems. The overall approach is based on a methodology that checks the positivity of a given polynomial.

MSC:

93D15 Stabilization of systems by feedback
93B40 Computational methods in systems theory (MSC2010)
93C10 Nonlinear systems in control theory
93B25 Algebraic methods
93C15 Control/observation systems governed by ordinary differential equations