On interconnected systems,passivity and some generalisations |
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Authors: | Rodrigo H. Ordóñez-Hurtado Wynita M. Griggs Robert N. Shorten |
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Affiliation: | 1. Hamilton Institute, National University of Ireland Maynooth, Maynooth, Co. Kildare, Ireland;2. Department of Electrical Engineering and the Advanced Mining Technology Center (AMTC), University of Chile, Santiago, Chileroordone@ing.uchile.cl;4. IBM Research, Dublin, Ireland |
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Abstract: | A sufficient condition for the stability of large-scale interconnections of N linear time-variant systems is presented. Such a condition represents important extensions to passivity criteria and ensures stability by means of the existence of a positive definite (full-block) matrix P which is a common solution to Lyapunov equations involving a diagonal stacking of the N systems and the interconnection structure matrix. An experimental methodology for the verification of the sufficient condition also is proposed, based on evolutionary computation techniques. Applications of the new stability results are provided through illustrative examples, which are developed using particle swarm optimisation and genetic algorithms. |
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Keywords: | passivity large-scale interconnections system stability evolutionary computation based techniques |
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