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Titlebook: New Directions and Applications in Control Theory; Wijesuriya Dayawansa,Anders Lindquist,Yishao Zhou Book 2005 Springer-Verlag Berlin Heid

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Local Robustness of Hyperbolic Limit Cycles,Local robustness of limit cycles are investigated for systems that can be modeled as a feedback interconnection of an exponentially stable linear system with a nonlinear function. Conditions are given under which the limit cycle and the number of unstable modes persist for sufficiently small dynamic perturbations.
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Endomorphisms of Hopf Algebras and a Little Bit of Control,ofree coalgebra over a finite rank free module consists precisely of the realizable power series in noncommuting variables. The second half of the paper concerns generalizations of the Hopf algebra of permutations which in turn generalizes the Hopf algebras of noncommutative symmetric functions and the Hopf algebra of quasisymmetric functions.
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Conditioned Invariant Subspaces and the Geometry of Nilpotent Matrices,, we make an attempt to illustrate the interplay between geometry and control, by focussing on the connections between partial state observers, spaces of invariant and conditioned invariant subspaces, and nilpotent matrices.
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Controlling the Shape of a Muscular Hydrostat: A Tongue or Tentacle*,The model has the mathematical form of an incompressible solid with a nonlinear, partially controllable, stress/strain relationship. The rationale for such a model, an analytic solution for a simplified version of the model, and indications of future work are included.
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Issues in the Identification of Physical Parameters in Non-Homogeneous Linear Elastic Solids,e in which one first builds a linear parametric model of the system using suitable PDEs approximation and discretization tools, and then uses standard parametric identification techniques which compute the parameter estimates.
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https://doi.org/10.1007/b95398Control Theory; Identification; Mathematical Modelling; Observer; Output Regulation; Poleplacement; Quantu
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New Directions and Applications in Control Theory978-3-540-31574-2Series ISSN 0170-8643 Series E-ISSN 1610-7411
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