Titlebook: Directions in Mathematical Systems Theory and Optimization; Anders Rantzer,Christopher I. Byrnes Conference proceedings 2003 Springer-Verl

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Some Remarks on Linear Filtering Theory for Infinite Dimensional Systems,infinite dimensional linear systems. The objective is to show that all properties for the finite dimensional case remain valid in the framework of Linear Random Functionals (this is thanks to linearity of course).

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The Convergence of the Extended Kalman Filter, is not too large then the error goes to zero exponentially as time goes to infinity. To demonstrate this, we require that the system be . . and uniformly observable with bounded second partial derivatives.

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Optimal Model Order Reduction for Maximal Real Part Norms,en the approximation error measure to be minimized is defined as maximum of the real part of the model mismatch transfer function over a certain set of frequencies. Applications to H-infinity model reduction and comparison to the classical Hankel model reduction are discussed.

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,Quantum Schr?dinger Bridges,duces the von Neumann wave packet reduction after a position measurement. This stochastic control problem parallels, with a different kinematics, the problem of the Schr?dinger bridge. This gives a profound meaning to what was observed by Schr?dinger in 1931 concerning Schr?dinger bridges: “.”.

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Robust Linear Algebra and Robust Aperiodicity,via various matrix norms, which include vector-induced and component-wise norms. First, the solution set of uncertain systems of linear algebraic equations is described. Second, the radius of nonsingularity of a matrix family is calculated. Third, these results are applied for estimation of aperiodicity radius.

auxiliary

Norbert Gestring,Renate Ruhne,Jan Wehrheimperties can be investigated by considering the behavior of the systems at times that are synchronized with the sampling instants. This leads to drastic simplifications because the systems can be described by difference equations with constant coefficients. This is the standard approach used today wh