Development of Homogeneity Concept for Time-Delay Systems
نویسندگان
چکیده
The notion of homogeneity is extended to the time-delay nonlinear systems. Applications of Lyapunov-Krasovskii functionals and LyapunovRazumikhin functions for stability investigation are analyzed. The notion of local homogeneity is introduced, relations between stability/instability of the locally approximating dynamics and the original time-delay system are established. A link between homogeneity and input-to-state stability is investigated. Examples of application of the proposed theory are given.
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ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 52 شماره
صفحات -
تاریخ انتشار 2014