Asymptotic Stability Discrimination Method and Maintenance Method for a Class of Singular Time-delay Systems
A technology for system stability and time-delay systems, applied in the field of asymptotic stability maintenance, can solve problems such as the inability to fully describe the stability of singular time-delay-dependent systems
Active Publication Date: 2020-11-13
UNIV OF SCI & TECH BEIJING
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[0007] At least one object of the present invention is to propose a method for judging the asymptotic stability of a class of singular time-delay systems and a method for maintaining the asymptotic stability of such systems with singular time-delays, which solves the problem that the prior art cannot comprehensively describe such singular time-delay systems. Technical Issues of Stability of Hysteresis-Dependent Systems
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[0041] Below you can refer to the accompanying drawings Figure 1 ~ Figure 2And the content of the text to understand the content of the present invention and the differences between the present invention and the prior art. The technical solution (including the preferred technical solution) of the present invention will be further described in detail below by means of the accompanying drawings and by way of listing some optional embodiments of the present invention. It should be noted that: any technical feature and any technical solution in this embodiment are one or more of a variety of optional technical features or optional technical solutions. Citing all the alternative technical features and alternative technical solutions of the present invention, it is not convenient for the implementation of each technical feature to emphasize that it is one of the optional multiple implementation modes, so those skilled in the art should know that: Replace any technical means provid...
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The invention discloses a singular time-delay system asymptotic stability discrimination method and a maintenance method, relates to the automation control technical field, and solves the technical problems that existing methods cannot fully describe the singular time-delay dependence system stability; the singular time-delay system asymptotic stability discrimination method comprises the following steps: using a mathematic decomposition method to analyze the time-delay stability of the singular time-delay system, thus obtaining conditions that maintain the singular time-delay dependence system stability; determining the stability of the singular time-delay dependence system according to the conditions that maintain the singular time-delay dependence system stability. The singular time-delay system asymptotic stability maintenance method comprises the following steps: using the conditions that maintain the singular time-delay dependence system stability to improve the singular time-delay system asymptotic stability. The discrimination method and the maintenance method can fully describe and improve the singular time-delay dependence system stability.
Description
technical field [0001] The invention relates to the technical field of automatic control, in particular to a method for judging the asymptotic stability of a singular time-delay system and a method for maintaining the asymptotic stability of the singular time-delay system. Background technique [0002] Time-delay phenomenon is ubiquitous in various physical, biological and industrial systems. The existence of time-delay makes system analysis and synthesis more complicated, and the existence of time-delay is also an important reason for system instability and system performance deterioration. Singular system is a kind of dynamical system with more extensive forms than normal system, which can better describe physical system than normal system. Singular system models widely exist in various fields of social production, such as: power system, economic system, robot system, Aerospace Engineering and Biosystems. Therefore, singular time-delay systems play an important role in ma...
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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 刘涛徐正光刘丽段勇勇
Owner UNIV OF SCI & TECH BEIJING