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Recent advances have demonstrated the possibility of solving the deconvolution problem without prior knowledge of the noise distribution. In this paper, we study the repeated measurements model, where information is derived from multiple…

统计理论 · 数学 2024-09-04 Jérémie Capitao-Miniconi , Elisabeth Gassiat , Luc Lehéricy

This paper investigates two related optimal input selection problems for fixed (non-switched) and switched structured systems. More precisely, we consider selecting the minimum cost of inputs from a prior set of inputs, and selecting the…

系统与控制 · 电气工程与系统科学 2022-10-20 Yuan Zhang , Yuanqing Xia , Shenyu Liu , Zhongqi Sun

The paper studies the relation between a nonlinear time-varying flat discrete-time system and the corresponding linear time-varying systems which are obtained by a linearization along trajectories. It is motivated by the continuous-time…

最优化与控制 · 数学 2024-03-26 Bernd Kolar , Johannes Diwold , Conrad Gstöttner , Markus Schöberl

Conditions are presented for different types of identifiability of discrete variable models generated over an undirected graph in which one node represents a binary hidden variable. These models can be seen as extensions of the latent class…

统计方法学 · 统计学 2013-12-12 Elena Stanghellini , Barbara Vantaggi

In this paper, we study the conditions to be satisfied by a discrete-time linear system to ensure output controllability using sparse control inputs. A set of necessary and sufficient conditions can be directly obtained by extending the…

系统与控制 · 电气工程与系统科学 2022-01-19 Geethu Joseph

This paper proposes a system identification algorithm for systems with multi-rate sensors in a discrete-time framework. It is challenging to obtain an accurate mathematical model when the ratios of inputs and outputs are different in the…

系统与控制 · 电气工程与系统科学 2025-12-11 Hiroshi Okajima , Risa Furukawa , Nobutomo Matsunaga

The known results on compartment system's identification requires observations and measures on some compartments. However, in many situations some compartments can not be measured, so the minimization of the compartment's number to be…

动力系统 · 数学 2021-12-14 B. Fadis , B. Hebri , S. Khelifa

Reachability sets of linear switching dynamical systems (systems of ODE with time-dependent matrices that take values from a given compact set) are analysed. An eigenset is a non-trivial compact set M that possesses the following property:…

动力系统 · 数学 2026-01-21 Vladimir Protasov

In this paper we consider switched nonlinear systems under average dwell time switching signals, with an otherwise arbitrary compact index set and with additional constraints in the switchings. We present invariance principles for these…

最优化与控制 · 数学 2009-12-24 J. L. Mancilla-Aguilar , R. A. Garcia

In this work, a new two-stage identification method based on dynamic programming and sparsity inducing is proposed for switched linear systems. Our method achieves sparsity inducing in the identification of switched linear systems by the…

系统与控制 · 电气工程与系统科学 2024-07-15 Zheng Wenju , Ye Hao

A set is called recurrent if its minimal automaton is strongly connected and birecurrent if it is recurrent as well as its reversal. We prove a series of results concerning birecurrent sets. It is already known that any birecurrent set is…

形式语言与自动机理论 · 计算机科学 2018-04-06 Francesco Dolce , Dominique Perrin , Antonio Restivo , Christophe Reutenauer , Giuseppina Rindone

There is a growing interest in data-driven control of nonlinear systems over the last years. In contrast to related works, this paper takes a step back and aims to solve the output matching problem, a problem closely related to the…

最优化与控制 · 数学 2023-02-27 Leander Hemelhof , Ivan Markovsky , Panagiotis Patrinos

Computational problem certificates are additional data structures for each output, which can be used by a-possibly randomized-verification algorithm that proves the correctness of each output. In this paper, we give an algorithm that…

符号计算 · 计算机科学 2019-12-03 Jean-Guillaume Dumas , Erich Kaltofen , Emmanuel Thomé , Gilles Villard

In this contribution we discuss flat discrete-time nonlinear systems in a general setting including two special subclasses, namely, forward- and backward-flat systems. We relate rank conditions for certain submatrices of the Jacobian of the…

最优化与控制 · 数学 2025-11-03 Johannes Schrotshamer , Bernd Kolar , Markus Schöberl

How to make a dynamic system unidentifiable is an important but still open issue. It not only requires that the parameters of the systems but also the equivalent systems cannot be identified by any identification approaches. Thus, it is a…

系统与控制 · 电气工程与系统科学 2023-08-31 Xiangyu Mao , Jianping He

New sensitivity-based methods are developed for determining identifiability and observability of nonsmooth input-output systems. More specifically, lexicographic calculus is used to construct nonsmooth sensitivity rank condition (SERC)…

最优化与控制 · 数学 2024-03-20 Peter Stechlinski , Sameh Eisa , Hesham Abdelfattah

This work considers methods for imposing sparsity in Bayesian regression with applications in nonlinear system identification. We first review automatic relevance determination (ARD) and analytically demonstrate the need to additional…

机器学习 · 统计学 2021-02-24 Samuel H. Rudy , Themistoklis P. Sapsis

Consider a discrete-time linear time-invariant descriptor system $Ex(k+1)=Ax(k)$ for $k \in \mathbb Z_{+}$. In this paper, we tackle for the first time the problem of stabilizing such systems by computing a nearby regular index one stable…

最优化与控制 · 数学 2019-10-11 Nicolas Gillis , Michael Karow , Punit Sharma

A novel procedure for the online identification of a class of discrete-time switched linear systems, which simultaneously estimates the parameters and switching manifolds of the systems, is proposed in this paper. Firstly, to estimate the…

系统与控制 · 电气工程与系统科学 2023-03-08 Zengjie Zhang , Yingwei Du , Tong Liu , Fangzhou Liu , Martin Buss

When identifying electrical, mechanical, or biological systems, parametric continuous-time identification methods can lead to interpretable and parsimonious models when the model structure aligns with the physical properties of the system.…

系统与控制 · 电气工程与系统科学 2024-09-26 Rodrigo A. González , Koen Classens , Cristian R. Rojas , James S. Welsh , Tom Oomen