2017年11月20日 |  English version
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双周三学术报告会:A necessary and sufficient condition for asymptotic stability of a class of nonlinear systems in the critical case

报告题目:A necessary and sufficient condition for asymptotic stability of a class of nonlinear systems in the critical case

报告人:朱建栋教授

报告时间:2017年9月13日(周三)14:00

报告地点:行健楼学术报告室526

摘要:By the theory of linear differential equations, a system described by a chain of integrators with a linear feedback is asymptotically stable if and only if the characteristic polynomial is Hurwitz, which implies that all the coefficients in the linear feedback equation are negative. However, negative coefficients cannot guarantee the asymptotic stability of the linear system. In this paper, we reveal that, by monotonizing the powers of the integrators, the negativity of the feedback coefficients is not only necessary but also sufficient for asymptotic stability of the system. A dual result is also obtained for the dual power integrator systems

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