Titlebook: Advances in Mathematical Systems Theory; A Volume in Honor of Fritz Colonius,Uwe Helmke,Fabian Wirth Book 2001 Springer Science+Business Me

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User Modelling in Knowledge-Based Systems,oints and irreducible elements, respectively, if some marking is employed. Geometrically, this yields a particular simplicial subdivision of convex sets and monoids, respectively. Applied to the topic of joint production from economics the famous Nonsubstitution Theorem is generalized to a Substitution Theorem.

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https://doi.org/10.1007/978-3-642-03208-0t formulas are given for the normalized left-and right­coprime factors. With this result, the theory of robust stabilization with re­spect to normalized coprime factor perturbations can be generalized to this class of systems. An application to models of hybrid flexible structures is given.

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https://doi.org/10.1007/978-3-030-03565-5ust domain of attraction for the fixed point of a perturbed system under the assumption that the perturbations do not destroy exponential stability. We discuss some topological properties of the robust domain of attraction and present an approximation scheme for its determination.

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https://doi.org/10.1007/978-3-642-03208-0igenvectors of A and the control operator b. Also necessary conditions are included. A necessary condition is that one over the eigenvalues is a sequence in ..,ɛ > 0. If additionally A is a diagonal operator then we prove that the conjecture of Russell and Weiss[.] holds.

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Cognition, Rationality, and InstitutionsWe prove that for linear time-invariant differential systems the state consists of the functionals of the system variables that evolve continuously in time.