Homogeneity for Time-delay Systems
نویسندگان
چکیده
The notion of homogeneity is extended to the time-delay nonlinear systems. It is shown that under some conditions the stability of homogeneous functional systems on a sphere implies the global stability of the system. The notion of local homogeneity is introduced, the relations between stability of the locally approximating dynamics and the original time-delay system are established. An example of the proposed theory application is given.
منابع مشابه
Development of Homogeneity Concept for Time-Delay Systems
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 homogen...
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