Linear relaxations of polynomial positivity for polynomial Lyapunov function synthesis
نویسندگان
چکیده
منابع مشابه
Linear relaxations of polynomial positivity for polynomial Lyapunov function synthesis
We examine linear programming (LP) based relaxations for synthesizing polynomial Lyapunov functions to prove the stability of polynomial ODEs. Our approach starts from a desired parametric polynomial form of the polynomial Lyapunov function. Subsequently, we encode the positive-definiteness of the function, and the negation of its derivative, over the domain of interest. We first compare two cl...
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ژورنال
عنوان ژورنال: IMA Journal of Mathematical Control and Information
سال: 2015
ISSN: 0265-0754,1471-6887
DOI: 10.1093/imamci/dnv003