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pro vyhledávání: '"93c80"'
A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that incremental stability may be verified by separation of Scaled Relative Graphs,
Externí odkaz:
http://arxiv.org/abs/2412.01580
Autor:
Zhang, Xinxin, HosseinNia, S. Hassan
Reset controllers have demonstrated their effectiveness in enhancing performance in precision motion systems. To further exploiting the potential of reset controllers, this study introduces a parallel-partial reset control structure. Frequency respon
Externí odkaz:
http://arxiv.org/abs/2406.16110
In this work, we consider the $\mathcal{H}_2$ optimal model reduction of dynamical systems that are linear in the state equation and up to quadratic nonlinearity in the output equation. As our primary theoretical contributions, we derive gradients of
Externí odkaz:
http://arxiv.org/abs/2405.05951
The Loewner framework is an interpolatory approach designed for approximating linear and nonlinear systems. The goal here is to extend this framework to linear parametric systems with an arbitrary number n of parameters. One main innovation establish
Externí odkaz:
http://arxiv.org/abs/2405.00495
Control design for linear, time-invariant mechanical systems typically requires an accurate low-order approximation in the low frequency range. For example a series expansion of the transfer function around zero consisting of a mass, velocity, and co
Externí odkaz:
http://arxiv.org/abs/2405.00486
In recent years, the Adaptive Antoulas-Anderson AAA algorithm has established itself as the method of choice for solving rational approximation problems. Data-driven Model Order Reduction (MOR) of large-scale Linear Time-Invariant (LTI) systems repre
Externí odkaz:
http://arxiv.org/abs/2312.16978
A quantitative frequency-domain condition related to the exponential stabilizability for infinite-dimensional linear control systems is presented. It is proven that this condition is necessary and sufficient for the stabilizability of special systems
Externí odkaz:
http://arxiv.org/abs/2308.15082
Autor:
Aumann, Quirin, Werner, Steffen W. R.
Publikováno v:
Adv. Comput. Math., 50(4):79, 2024
Interpolation-based methods are well-established and effective approaches for the efficient generation of accurate reduced-order surrogate models. Common challenges for such methods are the automatic selection of good or even optimal interpolation po
Externí odkaz:
http://arxiv.org/abs/2305.10806
Publikováno v:
Adv. Comput. Math., 50(2):26, 2024
An essential tool in data-driven modeling of dynamical systems from frequency response measurements is the barycentric form of the underlying rational transfer function. In this work, we propose structured barycentric forms for modeling dynamical sys
Externí odkaz:
http://arxiv.org/abs/2303.12576
Autor:
Pradovera, Davide
Publikováno v:
Adv. Comput. Math. (2023), 49(6)
We propose a strategy for greedy sampling in the context of non-intrusive interpolation-based surrogate modeling for frequency-domain problems. We rely on a non-intrusive and cheap error indicator to drive the adaptive selection of the high-fidelity
Externí odkaz:
http://arxiv.org/abs/2303.01015