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Articles 1 - 5 of 5

Full-Text Articles in Physical Sciences and Mathematics

Normal Forms For Two-Inputs Nonlinear Control Systems, Issa Amadou Tall, Witold Respondek Dec 2002

Normal Forms For Two-Inputs Nonlinear Control Systems, Issa Amadou Tall, Witold Respondek

Miscellaneous (presentations, translations, interviews, etc)

We study the feedback group action on two-inputs non-linear control systems. We follow an approach proposed by Kang and Krener which consists of analyzing the system and the feedback group step by step. We construct a normal form which generalizes that obtained in the single-input case. We also give homogeneous m-invariants of the action of the group of homogeneous transformations on the homogeneous systems of the same degree. We illustrate our results by analyzing the normal form and invariants of homogeneous systems of degree two.


Totally Magic Graphs, Geoffrey Exoo, Alan C. H. Ling, John P. Mcsorley, Nicholas C. Phillips, Walter D. Wallis Jun 2002

Totally Magic Graphs, Geoffrey Exoo, Alan C. H. Ling, John P. Mcsorley, Nicholas C. Phillips, Walter D. Wallis

Articles and Preprints

A total labeling of a graph with v vertices and e edges is defined as a one-to-one map taking the vertices and edges onto the integers 1, 2, · · · , v+e. Such a labeling is vertex magic if the sum of the label on a vertex and the labels on its incident edges is a constant independent of the choice of vertex, and edge magic if the sum of an edge label and the labels of the endpoints of the edge is constant. In this paper we examine graphs possessing a labeling that is simultaneously …


Mini-Course On Stochastic Systems With Memory (University Of Campinas), Salah-Eldin A. Mohammed Jun 2002

Mini-Course On Stochastic Systems With Memory (University Of Campinas), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

This is a mini-course consisting of three talks on the theme : ``Stochastic Systems with Memory", given at the Mathematics Institute, University of Campinas, Campinas, Brazil. My visit to Campinas was fully supported by a grant from FAPESP (of the State of Sao Paulo).


The Stable Manifold Theorem For Stochastic Differential Equations (Mathematics Colloquium, University Of North Carolina, Charlotte), Salah-Eldin A. Mohammed Mar 2002

The Stable Manifold Theorem For Stochastic Differential Equations (Mathematics Colloquium, University Of North Carolina, Charlotte), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

No abstract provided.


Orthogonal Arrays Of Strength Three From Regular 3-Wise Balanced Designs, Charles J. Colbourn, D. L. Kreher, John P. Mcsorley, D. R. Stinson Feb 2002

Orthogonal Arrays Of Strength Three From Regular 3-Wise Balanced Designs, Charles J. Colbourn, D. L. Kreher, John P. Mcsorley, D. R. Stinson

Articles and Preprints

The construction given in Kreher, J Combin Des 4 (1996) 67 is extended to obtain new infinite families of orthogonal arrays of strength 3. Regular 3-wise balanced designs play a central role in this construction.