A non-quadratic criterion for stability of forced oscillations

Pogromsky A.Y.; Matveev A.S.

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A non-quadratic criterion for stability of forced oscillations

机译：强迫振荡稳定性的非二次判据

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摘要

A new test for stability of forced oscillations in nonlinear systems is proposed. The result is illustrated by an example of a saturated PI-control of an integrator with a harmonic reference signal. The range of frequencies and amplitudes that guarantee stability of the corresponding oscillations is found.

机译：提出了一种新的非线性系统中强迫振荡稳定性的测试方法。通过带有谐波参考信号的积分器的饱和PI控制示例说明了结果。找到保证相应振荡稳定性的频率和幅度范围。

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来源
《Systems and Control Letters》 |2013年第5期|共5页
作者
Pogromsky A.Y.; Matveev A.S.;
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原文格式 PDF
正文语种 eng
中图分类自动化技术及设备;
关键词
Continuous-time nonlinear systems; Convergent systems; Incremental stability; Lyapunov stability; Time-varying systems;

机译：连续时间非线性系统收敛系统增量稳定性Lyapunov稳定性时变系统;

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专利

1. A non-quadratic criterion for stability of forced oscillations [J] . Pogromsky A.Y., Matveev A.S. Systems and Control Letters . 2013,第5期

机译：强迫振荡稳定性的非二次判据
2. A new oscillation criterion for forced second-order quasilinear differential equations [J] . Jing S. Discrete dynamics in nature and society . 2011,第Pta1期

机译：强迫二阶拟线性微分方程的新振动准则
3. A New Oscillation Criterion for Forced Second-Order Quasilinear Differential Equations [J] . ShaoJing Discrete dynamics in nature and society . 2011,第3期

机译：强迫二阶拟线性微分方程的一个新的振动准则
4. A non-quadratic criterion for stability of forced oscillations and its application to flight control [C] . Pogromsky Alexander Yu., Matveev Alexey S., Andrievsky Boris, European Control Conference . 2013

机译：强迫振荡稳定性的非二次判据及其在飞行控制中的应用
5. Forming limit diagrams calculated using Hill's non-quadratic yield criterion. [D] . Pishbin, Hassan. 1991

机译：使用希尔的非二次屈服准则计算的成形极限图。
6. Combined forced oscillation and forced expiration measurements in mice for the assessment of airway hyperresponsiveness [O] . Karim H Shalaby, Leslie G Gold, Thomas F Schuessler, 2010

机译：结合强迫振荡和强迫呼气测量小鼠评估气道高反应性
7. An oscillation criterion for forced half-linear differential equations with mixed nonlinearities [O] . Yang Xiaojing, Kim Yong-In, Lo Kueiming 2012

机译：具有混合非线性的强迫半线性微分方程的振动准则
8. Effect of a Nonuniform Incoherent nu Shift on the Stability Criterion for Transverse Collective Oscillations [R] . Month, M. 1973

机译：非均匀非相干nu偏移对横向集体振动稳定性判据的影响

A non-quadratic criterion for stability of forced oscillations

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