Volterra integral approach to impulsive renewal systems : application to networked control

D.J. Guerreiro Tome Antunes; J.P. Hespanha; C.J. Silvestre

doi:10.1109/TAC.2011.2166300

Volterra integral approach to impulsive renewal systems : application to networked control

D.J. Guerreiro Tome Antunes, J.P. Hespanha, C.J. Silvestre

Control Systems Technology

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

44 Citaten (Scopus)

Samenvatting

identically distributed intervals between transitions. Our approach involves the derivation of novel results for Volterra integral equations with positive kernel. We highlight several applications of these results, and show that when applied to the analysis of impulsive systems they allow us to (i) provide necessary and sufficient conditions for mean square stability, stochastic stability and mean exponential stability, which can be equivalently tested in terms of a matrix eigenvalue computation, an LMI feasibility problem, and a Nyquist criterion condition; (ii) assess performance of the impulsive system by computing a second moment Lyapunov exponent. The applicability of our results is illustrated in a benchmark problem considering networked control systems with stochastically spaced transmissions, for which we can guarantee stability for inter-sampling times roughly twice as large as in previous papers.

Originele taal-2	Engels
Pagina's (van-tot)	607-619
Tijdschrift	IEEE Transactions on Automatic Control
Volume	57
Nummer van het tijdschrift	3
DOI's	https://doi.org/10.1109/TAC.2011.2166300
Status	Gepubliceerd - 2012

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10.1109/TAC.2011.2166300

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