Title
On Interconnected Systems, Passivity And Some Generalisations
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.
Year
DOI
Venue
2013
10.1080/00207179.2013.811539
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
passivity, large-scale interconnections, system stability, evolutionary computation based techniques
Diagonal,Passivity,Particle swarm optimization,Lyapunov function,Mathematical optimization,Control theory,Matrix (mathematics),Positive-definite matrix,Evolutionary computation,Mathematics,Genetic algorithm
Journal
Volume
Issue
ISSN
86
12
0020-7179
Citations 
PageRank 
References 
2
0.39
12
Authors
3
Name
Order
Citations
PageRank
Rodrigo H. Ordóñez-Hurtado183.62
Wynita M. Griggs28113.39
Robert N. Shorten31378.51