Stability and L-2-gain analysis for switched neutral systems with mixed time-varying delays
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KünyeLI, T.F., ZHOA, J., DIMIROVSKI, G.M. (2011). Stability and L - 2 gain analysis for switched neutral systems with mixed time - varying delays. Journal of The Franklin Institute, 348 (9), pp. 2237-2256. http://dx.doi.org/10.1016/j.jfranklin.2011.08.008.
This paper considers the stability and L-2-gain for a class of switched neutral systems with time-varying discrete and neutral delays. Some new delay-dependent sufficient conditions for exponential stability and weighted L-2-gain are developed for a class of switching signals with average dwell time. These conditions are formulated in terms of linear matrix inequalities (LMIs) and are derived by employing free weighting matrices method. As a special case of such switching signals, we can obtain exponential stability and normal L-2-gain under arbitrary switching signals. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results.