Stability of multidimensional systems using genetic algorithms

Mastorakis, NE; Gonos, IF; Swamy, MNS

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	https://dspace.lib.ntua.gr/xmlui/handle/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.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	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