Abstract:In this paper, The stability of a class of infinite-dimensional nonlinear interconnected vehicle
following systems was studied. Under the assumption that the systems are globally Lipschitz, from the
conditions of stability of isolated subsystems decomposed from the interconnected nonlinear systems, by
applying vector Lyapunov function method and comparison principle, the sufficient conditions of exponential
string stability for this class of interconnected systems was obtained. The obtained sufficient criterion is delayindependent,
thus it is easy to test in practice..
Key Word:nonlinear interconnected systems, string stability, global asymptotic stability, vector Lyapunov
function, time delays
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