MvTools, (Multivariable Tools) is a toolbox for Matlab 5.3 developed within the Department of Electrical Systems and Automation (DSEA), University of Pisa, with the aim to offering to the Matlab users (especially control engineers and control engineering students) a complete toolbox for linear systems analysis and robust control synthesis. All the operations are carried out by means of a single...

Broadly speaking, the object in ‘multivariable complex dynamics’ is to understand dynamical properties of holomorphic (and more generally meromorphic) mappings f : X → X on compact complex manifolds X with complex dimension two or larger. The subject has been actively pursued for about twenty years now, and it has its genesis in several sources. First among these is the remarkable success in un...

F. M. Callier is a Professor at the Facultes Universitaires Notre-Dame de la Paix, Namur, Belgium and C. A. Desoer is a Professor at the University of California, Berkeley, USA. Multivariable Feedback Systems is the result •of their teaching of a first-year graduate course on multivariable feedback systems addressed to control engineers. The text covers finite-dimensional time-invariant linear ...

A non-negative pluriharmonic polynomial <p(z) on the unit ball of C is used as a weight against the rotationally invariant measure on the unit sphere. The resulting Hardy space carries the canonical n-tuple S of multiplication by the coordinate functions. By means of compressions of S to co-analytically invariant subspaces, and known estimates of the numerical radius of a nilpotent matrix we ob...

c © W W L Chen, 1997, 2008. This chapter is available free to all individuals, on the understanding that it is not to be used for financial gain, and may be downloaded and/or photocopied, with or without permission from the author. However, this document may not be kept on any information storage and retrieval system without permission from the author, unless such system is not accessible to an...

Operator-valued multivariable Bohr type inequalities are obtained for: (i) a class of noncommutative holomorphic functions on the open unit ball of B(H)n, generalizing the analytic functions on the open unit disc; (ii) the noncommutative disc algebra An and the noncommutative analytic Toeplitz algebra F∞ n ; (iii) a class of noncommutative selfadjoint harmonic functions on the open unit ball of...