Necessary and sufficient conditions for quadratic stability and stabilizability of uncertain linear time-varying systems

Amato F.; Pironti A.

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Necessary and sufficient conditions for quadratic stability and stabilizability of uncertain linear time-varying systems

机译：不确定线性时变系统的二次稳定性和镇定性的充要条件

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In this paper we consider linear time-varying systems subject to norm bounded, one block, structured uncertainties. First, given an unforced system, we find necessary and sufficient conditions for quadratic stability; then, considered a controlled system, we provide necessary and sufficient conditions for quadratic stabilizability both for the state and the output feedback case.

机译：在本文中，我们考虑线性时变系统受制于范围有界，一个块，结构不确定性。首先，给定非强制系统，我们找到了二次稳定性的必要条件和充分条件；然后，考虑到一个受控系统，我们为状态和输出反馈情况提供二次稳定的必要和充分条件。

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《IEEE Transactions on Automatic Control》 |1996年第1期|P.125-128|共4页
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Amato F.; Pironti A.;
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1. Necessary and sufficient conditions for quadratic stability andstabilizability of uncertain linear time-varying systems [J] . Amato F., Pironti A., Scala S. IEEE Transactions on Automatic Control . 1996,第1期

机译：不确定线性时变系统的二次稳定性和稳定性的充要条件
2. Necessary and sufficient conditions of quadratic stability of uncertain linear systems [J] . Gu K., Zohdy M.A. IEEE Transactions on Automatic Control . 1990,第5期

机译：不确定线性系统二次稳定性的充要条件
3. Sufficient Conditions for Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems [J] . Amato F., Cosentino C., Merola A. Automatic Control, IEEE Transactions on . 2010,第2期

机译：非线性二次系统的有限时间稳定性和镇定的充分条件
4. Necessary and sufficient conditions of quadratic stability of uncertain linear systems [C] . Gu, K., Zohdy, . 1989

机译：不确定线性系统二次稳定性的充要条件
5. Stabilization, observation, tracking and disturbance rejection for uncertain/nonlinear and time-varying systems. [D] . Acikmese, Ahmet Behcet. 2002

机译：不确定/非线性和时变系统的稳定，观测，跟踪和干扰抑制。
6. Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay [O] . Ruliang Wang, Jie Li, Shanshan Zhang, 2013

机译：一类具有时变时滞的不确定非线性系统的鲁棒自适应控制
7. Time-invariant uncertain systems: A necessary and sufficient condition for stability and instability via homogeneous parameter-dependent quadratic Lyapunov functions [O] . Chesi G 2010

机译：时不变不确定系统：通过齐次参数依赖二次Lyapunov函数求稳定性和不稳定性的充分必要条件
8. Necessary and Sufficient Condition for Solvability of the Linear-Quadratic Control Problem Without Stability [R] . Geerts, A. H. W. 1987

机译：无稳定线性二次控制问题可解性的充要条件

Necessary and sufficient conditions for quadratic stability and stabilizability of uncertain linear time-varying systems

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