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Titlebook: Mathematical Control Theory I; Nonlinear and Hybrid M. Kanat Camlibel,A. Agung Julius,Jacquelien M.A. Conference proceedings 2015 Springer

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Yu Kawano,Jacquelien M.A. Scherpents and outputs. Correspondingly, in this paper only mechanisms of locomotor control in vertebrates are considered. In particular, similarity of mechanisms employed by the axial nervous system to control both swimming of animals without appendages and terrestrial locomotion of tetrapods is discussed.
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Nonlinear Controller Design Based on Invariant Manifold Theory,The role of invariant manifold in nonlinear control theory is reviewed. First, stable, center-stable and center manifold algorithms to compute flows on these manifolds are presented. Next, application results of the computational methods are illustrated for optimal stabilization, optimal output regulation and periodic orbit design problems.
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Examples on Stability for Infinite-Dimensional Systems,does not imply asymptotic stability, even not for linear systems. Second, we show that to conclude (local) exponential stability from the linearization, care must be taken how the linearization is obtained.
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Model Reduction by Generalized Differential Balancing,e generalize concepts of differential controllability and observability functions, then use them for model reduction. We show some stability properties are preserved under the model reduction and estimate the error bound by the model reduction.
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