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Test for Lyapunov stability by rational operations

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1 Author(s)
Bose, N.K. ; University of Pittsburgh, Pittsburgh, PA, USA

The problem of determining the positive definiteness of an arbitrary multivariable polynomial is transformed into an equivalent problem which is solvable by rational operations. Nontrivial examples which illustrate different aspects of the algorithm are given in connection with stability determination via Lyapunov's method.

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Automatic Control, IEEE Transactions on  (Volume:20 ,  Issue: 5 )