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Structure estimation for systems described by radial basis functions based on normalized QR filtering
Kadlec, Jiří
The recursive algorithm for the estimation of the variable radial base structure based on the QA algorithm with the exponential forgetting, is presented for the radial-bases regression model in the parallel QA implementations. The algorithm is suitable also for the concurrent estimation of the model structure. It allows a highly modular implementation convenient for the parallel computation, what makes it suitable for the fast on line implementation in the area of nonlinear beame forming, etc.
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Modules over non-commutative rings for an analysis of control systems
Xia, X. ; Márquez-Martínez, L. ; Zagalak, Petr ; Moog, C.
The paper introduces some concepts of the theory of non-commutative rings into the theory of nonlinear systems with time delays. The left Ore ring of non-commutative polynomials defined over the field of meromorphic functions is studied and some properties of modules over such rings are presented. This approach is then generalized to a special class of nonlinear systems with delays that are called Generalized Roesser Systems. Finally, the theory is used to define and characterize.
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Polynomial matrices, LMIs and static output feedback
Henrion, Didier ; Kučera, V.
In the polynomial approach to systems control, the static output feedback problem can be formulated as follows: given two polynomial matrices D(s) and N(s), find a constant matrix K such that polynomial matrix D(s)+KN(s) is stable. In this paper, we show that solving this problem amounts to solving a linear matrix inequality with a non-convex rank constraint.
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