Analysis of Impulsive Renewal Systems: Application to Emulation in Networked Control
نویسنده
چکیده
We analyze impulsive systems with independent and identically distributed intervals between jumps. Our approach is based on a Volterra renewal-type equation that allows us to characterize the transitory and asymptotic behavior of the system. Necessary and sufficient conditions are given for mean square stability, stochastic stability and mean exponential stability, and the relation between the three stability notions is discussed. We show that these conditions can be equivalently cast in terms of algebraic and LMI conditions, and also tested using the Nyquist criterion. The results are illustrated through their application to the stability analysis of networked control systems. We present a benchmark example for which one can guarantee stability for inter-sampling times roughly twice as large as in a previous paper.
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