Stability Analysis for Time-Delay Hamiltonian Systems

Stability Analysis for Time-Delay Hamiltonian Systems
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DOI:
10.1109/icarcv.2006.345259
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发表时间:
2006-12
期刊:
2006 9th International Conference on Control, Automation, Robotics and Vision
影响因子:
--
通讯作者:
Weiwei Sun;Yuzhen Wang;G. Feng
Weiwei Sun;Yuzhen Wang;G. Feng
中科院分区:
其他
文献类型:
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作者:
Weiwei Sun;Yuzhen Wang;G. Feng

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研究时滞哈密顿系统的渐近稳定性和鲁棒稳定性。首先,基于Lyapunov-Krasovskii(L-K)方法,研究了两类时滞哈密顿系统的渐近稳定性,得到了几个充分条件。然后,研究了多型不确定时滞哈密顿系统的鲁棒稳定性,该系统具有时不变不确定性,属于某个凸有界多型域。最后,通过几个实例验证了本文提出的新结果
This paper investigates the asymptotically stability and robust stability for time-delay Hamiltonian systems. First, the asymptotical stability of two classes of time-delay Hamiltonian systems is studied and some sufficient conditions are derived based on the Lyapunov-Krasovskii (L-K) approach. Then, the robust stability is investigated for polytypic uncertain time-delay Hamiltonian systems, which possesses time-invariant uncertainties belonging to some convex bounded polytypic domain. Finally, several illustrative examples are studied to support the new results proposed in this paper