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On the Study of Asymptotically Stable for Fractional-order Neutral Retarded Dynamic Systems

Author: XiaQingXia
Tutor: YuJiMin
School: Guangxi Normal University
Course: Applied Mathematics
Keywords: Neutral fractional order systems Delay theory LMI Laplace transform Asymptotically stable
CLC: O19
Type: Master's thesis
Year: 2010
Downloads: 72
Quote: 0
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Abstract


The past two decades , thermodynamics, viscoelasticity , acoustics, electronic chemicals , rheology and other practical system research reveals the reality of physical objects are essentially the fractional . Meanwhile, the delay and the inevitable presence of various engineering systems , and its presence may make the system becomes unstable and poor performance , so some scholars with Delay fractional order systems were studied. Later, we also found Neutral fractional power system is a more realistic system . But now, no one has to discuss them , so this paper conducted in-depth study of the system . Thus enriching the fractional differential dynamical systems theory for neutral delay fractional power system control method provides a new idea . Main idea of ??this paper , through the Laplace transform of the characteristic equation , then the root of the characteristic equation to discriminate . If all the roots have negative real parts , then the system is asymptotically stable . Based on Laplace transform , the paper first discusses the varying delay neutral fractional order systems asymptotic stability issues get results generalize and improve the existing literature some conclusions. And by state feedback control methods and theories to deal with our extravascular to fractional drug compartment model synchronization. followed by linear matrix inequality approach thesis containing varying delay uncertain fractional order systems asymptotic stability and state feedback stabilization problems , get the system asymptotically stable sufficient conditions , the application of the same method , thesis containing varying delay uncertain neutral asymptotic stability of fractional order systems and state feedback stabilization problem , obtain sufficient conditions for asymptotic stability of the system . Meanwhile, thesis MATLAB / SIMULINK software as a tool to obtain the stability criteria of the Institute for computer simulation studies to test the validity of the results .

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CLC: > Mathematical sciences and chemical > Mathematics > Dynamical systems theory
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