Research ArticleOpen accessIn the abstractAdaptive Control of Networked Systems in the Presence of Bounded DisturbancesA. H. Tahoun, Fang Hua-JingThe insertion of data network in the feedback adaptive control loops makes the analysis and design of networked control systems more complex than traditional control systems. This paper addresses the adaptive stabilization problem of linear time-invariant networked control systems when the measurements of the plant states are corrupted by bounded disturbances. The case of state feedback is treated in which … …Journal of Computer Science, Vol. 3, Issue 9 · 30 Sep 2007 · 6,537 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordON REDUCED SCALAR EQUATIONS FOR SYNCHRONOUS BOOLEAN NETWORKSAli Muhammad Ali Rushdi, Adnan Ahmad AlsogatiA total description of a synchronous Boolean network is typically achieved by a matrix recurrence relation. A simpler alternative is to use a scalar equation which is a possibly nonlinear equation that involves two or more instances of a single scalar variable and some Boolean operator(s). Further simplification is possible in terms of a linear reduced scalar equation which is … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 10 Sep 2013 · 6,665 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordVedas and the Development of Arithmetic and AlgebraGurudeo Anand TularamProblem statement: Algebra developed in three stages: rhetorical or prose algebra, syncopated or abbreviated algebra and symbolic algebra-known as “school algebra”. School algebra developed rather early in India and the literature now suggests that the first civilization to develop symbolic algebra was the Vedic Indians. Approach: Philosophical ideas of the time influenced the development of the decimal system and arithmetic … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 8,263 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordRETRACTED: On the New Branch of Mathematical Science-Part 2M. Sivasubramanian, L. Senthilkumar, K. Raghul Kumar, S. KalimuthuThe fifth Euclidean postulate problem in geometry is 2300 years old. This postulate is also known as Euclid’s parallel postulate. The great mathematicians tried their best to deduce the fifth postulate from the other four postulates. But unfortunately nobody could succeed in this geometrical battle. The studies devoted to this problem led to the origin of two non-Euclidean geometries. The … …Journal of Mathematics and Statistics, Vol. 4, Issue 3 · 30 Sep 2008 · 7,264 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordRETRACTED: On the New Branch of Mathematical ScienceM. Sivasubramanian, S. KalimuthuThe origin of geometry dates back 30000(Thirty thousand years) B.C[3]. Euclid of Alexandria (2300 B.C.) complied the Elements which is the first scientific text book. Euclid assumed five postulates. There is no proof for the fifth postulate. Almost all the celebrated mathematicians tried their best to deduce this from the first four postulates. But unfortunately, nobody was successful. Saccheri and … …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 7,893 accessesView PDFCite