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On Linear Bornologies and Linear Convergence Structures

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A Structural linearization principle for processes

Formal Methods in System Design, 1993
In [1], an induction principle for processes was given which allows one to apply model-checking techniques to parameterized families of processes. A limitation of the induction principle is that it does not apply to the case in which one process depends directly upon a parameterized number of processes, which number grows without bound. This would seem
Robert P. Kurshan   +3 more
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Characterization of Linear Structures

Designs, Codes and Cryptography, 2001
Let \(F\) be a function defined from \(F_2^m\) to \(F_2^n\) and \((\alpha,a)\) be an element of \(F_2^m\times F_2^n\), with \(\alpha\neq 0\). Then \((\alpha,a)\) is defined to be a linear structure of \(F\) if \(F(x)= F(x+\alpha)+ a\) for all \(x\in F_2^m\).
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Linear active control for linear and non linear structures

Proceedings Intelligent Information Systems. IIS'97, 2002
This paper summarizes the basic approaches and the results obtained by the authors regarding the active control of structures. The optimal design of linear active control algorithms for nominally linear oscillators and their validation for non-linear systems (Van der Pol and Duffing oscillators), unknown and stochastic forcing functions, delayed and ...
BARATTA, ALESSANDRO   +2 more
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Identification of Linear Structures

Journal of Dynamic Systems, Measurement, and Control, 1984
Experimental frequency response data for a linear dynamic system is used to obtain system transfer functions. An easily implemented multi-degree-of-freedom technique which is applicable to linear structures having moderate, non-proportional viscous damping is presented.
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On Linearized Poisson Structures

Mathematical Notes, 2001
The linearizability of a given Poisson structure \(\Psi \) at a non-zero dimensional symplectic leaf B (\(\dim B\geq 1\)) is studied. Two basic structures are introduced: a normal bundle \(E\) to the symplectic leaf \(B\) and the pull-back \(\Psi _{f}\) of the Poisson structure \(\Psi \) to \(E\) via an exponential map \(f\).
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