Stability of multidimensional systems using genetic algorithms

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dc.contributor.author Mastorakis, NE en
dc.contributor.author Gonos, IF en
dc.contributor.author Swamy, MNS en
dc.date.accessioned 2014-03-01T01:19:34Z
dc.date.available 2014-03-01T01:19:34Z
dc.date.issued 2003 en
dc.identifier.issn 1057-7122 en
dc.identifier.uri http://hdl.handle.net/123456789/15574
dc.subject Characteristic Polynomial en
dc.subject Genetic Algorithm en
dc.subject Multidimensional System en
dc.subject Numerical Technique en
dc.subject Neural Network en
dc.subject.classification Engineering, Electrical & Electronic en
dc.subject.other Convergence of numerical methods en
dc.subject.other Genetic algorithms en
dc.subject.other Polynomials en
dc.subject.other System stability en
dc.subject.other Transfer functions en
dc.subject.other Minimization problem en
dc.subject.other Multidimensional systems en
dc.subject.other System theory en
dc.title Stability of multidimensional systems using genetic algorithms en
heal.type journalArticle en
heal.identifier.primary 10.1109/TCSI.2003.813968 en
heal.identifier.secondary http://dx.doi.org/10.1109/TCSI.2003.813968 en
heal.language English en
heal.publicationDate 2003 en
heal.abstract The study of the stability of m-dimensional systems is a difficult one especially when m greater than or equal to 3. There exist only a few results in the literature and unfortunately, there does not exist any practical criterion. In this brief, the stability of an m-dimensional system is dealt as a minimization problem of the absolute value of its characteristic polynomial over the boundaries of its variables (i.e., on the m unit circles). This minimization problem is solved by using genetic algorithms (GAs). Using GAs we obtain, in general, better results than other methods of minimization (numerical techniques, neural networks, etc.). Numerical examples are presented. en
heal.journalName IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications en
dc.identifier.doi 10.1109/TCSI.2003.813968 en
dc.identifier.isi ISI:000184214800017 en
dc.identifier.volume 50 en
dc.identifier.issue 7 en
dc.identifier.spage 962 en
dc.identifier.epage 965 en

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