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Titlebook: Algebraic and Geometric Methods in Nonlinear Control Theory; M. Fliess,M. Hazewinkel Book 1986 D. Reidel Publishing Company, Dordrecht, Ho

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51#
發(fā)表于 2025-3-30 08:41:10 | 只看該作者
Summary and Future Developments,r theory developed by Morse & Wonham and Basile & Marro in the early seventies, in order to obtain the solution also for block decoupling of a linear system, see [1,24,12,23]. After this it took almost ten years before Isidori et al. [9] and Hirschorn [8] initiated a similar (differential) geometric theory for nonlinear systems.
52#
發(fā)表于 2025-3-30 13:55:09 | 只看該作者
Realizations of Polynomial Systemsregularity and observability. Now the observation algebra does not have to be finitely generated but has to be a subalgebra of a finitely generated algebra. However, we complete the result of [1] proving that if the observation algebra . finitely generated then there is an immersion into an algebraically observable polynomial system.
53#
發(fā)表于 2025-3-30 17:24:15 | 只看該作者
On the Input-Output Decoupling of Nonlinear Systemsr theory developed by Morse & Wonham and Basile & Marro in the early seventies, in order to obtain the solution also for block decoupling of a linear system, see [1,24,12,23]. After this it took almost ten years before Isidori et al. [9] and Hirschorn [8] initiated a similar (differential) geometric theory for nonlinear systems.
54#
發(fā)表于 2025-3-30 21:48:05 | 只看該作者
https://doi.org/10.1007/978-3-319-11976-2ocal viewpoint is presented. This is due to two kinds of obstructions: singularities of the studied objects (functions, vector fields, distributions) and topological obstructions for the global existence of the sought solutions.
55#
發(fā)表于 2025-3-31 03:29:24 | 只看該作者
Global Aspects of Linearization, Equivalence to Polynomial Forms and Decomposition of Nonlinear Contocal viewpoint is presented. This is due to two kinds of obstructions: singularities of the studied objects (functions, vector fields, distributions) and topological obstructions for the global existence of the sought solutions.
56#
發(fā)表于 2025-3-31 06:38:49 | 只看該作者
57#
發(fā)表于 2025-3-31 13:10:53 | 只看該作者
58#
發(fā)表于 2025-3-31 17:01:18 | 只看該作者
https://doi.org/10.1007/978-3-0348-6145-82]). In the general case, let us mention the work of Sussmann [13], Hermann, Krener [7] and Jakubczyk [9]: they assume that the solutions are regular at any time and for any inputs. This restriction lead Fliess to study local realization of nonlinear systems [5].
59#
發(fā)表于 2025-3-31 20:02:12 | 只看該作者
60#
發(fā)表于 2025-3-31 23:32:59 | 只看該作者
Fallstudie in der Computerindustrie, specifications on the linearized system independently of the operating point. Then, the local linear control laws are parametrized by the operating point and analytically “integrated” in a global nonlinear design (that is, without gain scheduling).
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