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Titlebook: Mathematical Systems Theory in Biology, Communications, Computation and Finance; Joachim Rosenthal,David S. Gilliam Conference proceedings

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Conference proceedings 2003, biological systems, chemical engineering, communication systems, financial engineering and robotics to name just a few. This volume contains survey and research articles by some of the leading researchers in mathematical systems theory. Many authors have taken special care that their articles are
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Belief Propagation on Partially Ordered Sets,of wide applicability. We will show that PBP can be thought of as an algorithm for minimizing a certain “free energy” function, and by exploiting this interpretation, we will exhibit a one-to-one correspondence between the fixed points of PBP and the stationary points of the free energy.
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Dissipative Distributed Systems,ssipative systems has been developed mainly for systems that have time as its only independent variable (1-D systems). However, models of physical systems often have several independent variables (i.e., they are .-D systems), for example, time and space variables. In this paper we develop the theory of dissipative systems for .-D systems.
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Numerics Versus Control,s for the inverse power iteration on projective space for real or complex shifts are presented, following [20, 22], and a connection with output feedback pole assignability is mentioned. Controllability of the algorithm on Hessenberg flags is shown. This implies controllability of the shifted QR-algorithm on Hessenberg matrices.
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Spectral Theory for Neutral Delay Equations with Applications to Control and Stabilization,s expansions of solutions, completeness of eigenvectors and generalized eigenvectors, solutions of neutral delay equations that decay faster than any exponential, and applications to control and stabilization.
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