Nonlinear norm-observability notions and stability of switched systems
Nonlinear norm-observability notions and stability of switched systems
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DOI：
10.1109/tac.2004.841937
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发表时间：
2005-02
影响因子：
6.8
通讯作者：
J. Hespanha;D. Liberzon;D. Angeli;Eduardo Sontag
中科院分区：
文献类型：
--
作者：
J. Hespanha;D. Liberzon;D. Angeli;Eduardo Sontag
这项工作提出了针对非线性系统的“规范可观性”的几个定义，并探讨了它们之间的关系。这些可观察性属性涉及在输出规范和在某些时间间隔内的输入方面对状态的结合的存在。还获得了lyapunov的足够条件，可获得标准可观性。作为应用程序，我们证明了用于开关非线性系统的Lasalle稳定性定理的几种变体。这些结果被证明是在开关存在下以及为开关反馈系统的Popov类型开发稳定结果的情况下对控制设计有用的。
This work proposes several definitions of "norm-observability" for nonlinear systems and explores relationships among them. These observability properties involve the existence of a bound on the norm of the state in terms of the norms of the output and the input on some time interval. A Lyapunov-like sufficient condition for norm-observability is also obtained. As an application, we prove several variants of LaSalle's stability theorem for switched nonlinear systems. These results are demonstrated to be useful for control design in the presence of switching as well as for developing stability results of Popov type for switched feedback systems.