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Sufficient conditions for finite-time stability and stabilization of nonlinear quadratic systems

机译:有限时间稳定性和非线性二次系统稳定的充分条件

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In this paper we deal with the finite-time stability problem for quadratic systems. Such class of systems plays an important role in the modeling of a wide class of nonlinear processes (electrical, robotic, biological, etc.). The main results of the paper consist of two sufficient conditions for finite-time stability analysis and finite-time stabilization via static state feedback; both conditions are given in terms of the feasibility of a convex optimization problem, involving linear matrix inequalities. A numerical example illustrates the applicability of the proposed technique.
机译:在本文中,我们处理二次系统的有限时间稳定性问题。这种类系统在广泛的非线性过程(电力,机器人,生物学等)的建模中起着重要作用。纸张的主要结果包括通过静态状态反馈的有限时间稳定性分析和有限时间稳定的两个充分条件;两种条件都是在凸优化问题的可行性方面给出的,涉及线性矩阵不等式。数值示例说明了所提出的技术的适用性。

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