Positivity of Complete Quadratic Lyapunov-Krasovskii Functionals in Time-Delay Systems

机译：时滞系统中完整二次Lyapunov-Krasovskii泛函的正性

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This chapter discusses positivity of quadratic functionals that arise in the stability analysis of time-delay systems. When both the single and double integral terms are positive, a necessary and sufficient condition for positivity is obtained using operator theory. This is applied to the Lyapunov-Krasovskii functional and its derivative. The coupled differential-difference equations are studied using the Sum-of-Squares (SOS) method.

机译：本章讨论在时滞系统的稳定性分析中出现的二次函数的正性。当单整数项和双整数项均为正数时，使用算子理论即可获得必要的充实条件。这适用于Lyapunov-Krasovskii泛函及其导数。使用平方和（SOS）方法研究耦合的微分差分方程。

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《Time delay systems: methods, applications and new trends》|2010年|p.35-47|共13页
会议地点 Prague(CZ);Sinaia(RO)
作者
Keqin Gu; Yashun Zhang; Matthew Peet;
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作者单位

Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, Illinois 62026, USA;

School of Automation, Nanjing University of Science and Technology, Nanjing, China;

Department of Mechanical, Materials, and Aerospace Engineering, Illinois Institute of Technology, Chicago, Illinois 60616, USA;

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正文语种 eng
中图分类时间与频率计量;
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Positivity of Complete Quadratic Lyapunov-Krasovskii Functionals in Time-Delay Systems

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