Infirm 发表于 2025-3-30 08:41:10

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 . After this it took almost ten years before Isidori et al. and Hirschorn initiated a similar (differential) geometric theory for nonlinear systems.

perjury 发表于 2025-3-30 13:55:09

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 proving that if the observation algebra . finitely generated then there is an immersion into an algebraically observable polynomial system.

curettage 发表于 2025-3-30 17:24:15

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 . After this it took almost ten years before Isidori et al. and Hirschorn initiated a similar (differential) geometric theory for nonlinear systems.

补充 发表于 2025-3-30 21:48:05

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.

GRIN 发表于 2025-3-31 03:29:24

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.

毗邻 发表于 2025-3-31 06:38:49

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outset 发表于 2025-3-31 13:10:53

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愤慨一下 发表于 2025-3-31 17:01:18

https://doi.org/10.1007/978-3-0348-6145-82]). In the general case, let us mention the work of Sussmann , Hermann, Krener and Jakubczyk : 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 .

可能性 发表于 2025-3-31 20:02:12

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生来 发表于 2025-3-31 23:32:59

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