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Multidimensional circuit synthesis and multivariable dilation theory

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Abstract

Holomorphic contractive matrix- or operator-valued functions on the unit disk and their counterparts under double Cayley transform, namely holomorphic functions with positive real part on the right half plane, have been a fundamental object of study in both the mathematics and engineering communities. We discuss recent extensions of these notions to multivariable settings.

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  1. Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061-0123, USA

    Joseph A. Ball

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  1. Joseph A. Ball
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Correspondence to Joseph A. Ball.

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Dedicated to the memory of Nirmal Bose.

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Ball, J.A. Multidimensional circuit synthesis and multivariable dilation theory. Multidim Syst Sign Process 22, 27–44 (2011). https://doi.org/10.1007/s11045-010-0123-2

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  • DOI: https://doi.org/10.1007/s11045-010-0123-2

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