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- W4313190983 abstract "The global stability and stabilization for nonlinear systems is a challenging problem in control theory. The conditions like R(t) < -E0I or R (x) < -E0I often appeared in many related literature. Obviously, to verify this condition is not easy, partly because there is not a general method to find the precise value of its roots by radicals for a univariate polynomial with degree more than 4. In this paper, we mainly discuss the case which all entries in R are polynomials and give a feasible algorithm to verify the condition R(t) <-E0I or R(x) < -E0I. The algorithm is imposed on the coefficients of the polynomials only and the analysis technique is based on real algebraic geometry and mathematics mechanization method. Finally, the authors will give some examples to show the application of our results." @default.
- W4313190983 created "2023-01-06" @default.
- W4313190983 creator A5026033469 @default.
- W4313190983 creator A5031729206 @default.
- W4313190983 date "2022-07-25" @default.
- W4313190983 modified "2023-09-28" @default.
- W4313190983 title "An Algorithm to Verify a Class of Matrix Inequalities in the Global Stability of Nonlinear Systems" @default.
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- W4313190983 doi "https://doi.org/10.23919/ccc55666.2022.9902217" @default.
- W4313190983 hasPublicationYear "2022" @default.
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