On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems
نویسندگان
چکیده
We prove that the looped-functional considered in [1,2,3] for the analysis of sampled-data, impulsive and switched systems is “complete”, in the sense that it can be used to equivalently characterize a certain discrete-time stability criterion involving matrix exponentials. This result is derived for a wider class of linear systems, referred to as pseudo-periodic systems with impulses, encompassing periodic, impulsive, sampled-data and switched systems.
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ورودعنوان ژورنال:
- Int. J. Control
دوره 88 شماره
صفحات -
تاریخ انتشار 2015