Titlebook: Variable Structure Systems with Application to Economics and Biology; Proceedings of the S A. Ruberti,R. R. Mohler Conference proceedings 1

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Estimation for Bilinear Stochastic Systems,, finite dimensional optimal nonlinear estimators are presented for certain bilinear systems evolving on solvable and nilpotent Lie groups. Then the use of harmonic analysis for estimation problems evolving on spheres and other compact manifolds is investigated. Finally, an approximate estimation technique utilizing cumulants is discussed.

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Time-Varying Bilinear Systems,ilibrium initial state, and uses mainly Lie algebra techniques. The theory developed in [1] has been further extended, in [3], to the case of multidimensional input and output and, in [4], to the case of equilibrium initial state.

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Time-Varying Bilinear Systems, realizations and make essential use of linear (associative) algebraic tools, the second one considers realizations homogeneous in the state, with equilibrium initial state, and uses mainly Lie algebra techniques. The theory developed in [1] has been further extended, in [3], to the case of multidim

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Periodic Control of Singularly Perturbed Systems,stem be improved by cycling? The second question is: What is the best periodic operation when consideration is restrained to high-frequency (relaxed) controls?” Both these questions are then discussed with reference to a class of singularly perturbed dynamic systems and a somewhat paradoxical result

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Some Examples of Dynamic Bilinear Models in Economics,n the absolute change or change in magnitudes. A tax rate determines how much tax receipt is generated from gross income. Central banks do not think in terms of setting the amount of money stock but rather in terms of percentage changes in the rate of growth of money stocks, to cite a couple of exam