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General procedure for multivariable polynomial positivity test with control applications

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2 Author(s)
Bose, N.K. ; University of Pittsburgh, Pittsburgh, PA, USA ; Modarressi, A.R.

A procedure is given to determine whether or not a polynomial in several real variables is globally positive. Emphasis is placed on the resolution of singularities of various types that occur during the implementation of the algorithm. A nontrivial example encountered in application of Lyapunov direct method to stability investigation of nonlinear control systems is given to illustrate the details of the procedure.

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Automatic Control, IEEE Transactions on  (Volume:21 ,  Issue: 5 )