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Stability of Several Classical Dynamic Systems

Author: LiYongYong
Tutor: LiuKangSheng
School: Zhejiang University
Course: Operational Research and Cybernetics
Keywords: Stability studies Suspension Bridge Dynamic equations Stability theory Asymptotic behavior Global attractor Robust stability Delay systems The main results Existence
CLC: O193
Type: Master's thesis
Year: 2007
Downloads: 46
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Abstract


This paper studies the stability theory of linear delay systems and the coupling suspension bridge system . The main results include: (1 ) to discuss the delay system robust stability . Frequency domain boundary theorem (Fu, Olbrot and Polis, IEEE Tran. Automat. Contr. 34 (1989) ,813-820), obtained rank 1 uncertainty Delay robust stability time domain boundary theorem . (2 ) discuss the asymptotic behavior of the coupled suspension bridge system in the case of a finite lattice grid power equation . Given the presence of grid power equation , existence and uniqueness , and prove that the global attractor .

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