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In this paper, we develop an asymptotic expansion-regularization (AER) method for inverse source problems in two-dimensional nonlinear and nonstationary singularly perturbed partial differential equations (PDEs). The key idea of this…

数值分析 · 数学 2022-10-14 Dmitrii Chaikovskii , Aleksei Liubavin , Ye Zhang

We consider the feedback design for stabilizing a rigid body system by making and breaking multiple contacts with the environment without prespecifying the timing or the number of occurrence of the contacts. We model such a system as a…

系统与控制 · 计算机科学 2019-05-16 Weiqiao Han , Russ Tedrake

In this paper, we propose a novel controller design approach for unknown nonlinear systems using the Koopman operator. In particular, we use the recently proposed stability- and feedback-oriented extended dynamic mode decomposition…

系统与控制 · 电气工程与系统科学 2025-09-30 Robin Strässer , Julian Berberich , Frank Allgöwer

This paper presents novel polytopic and interval observer designs for uncertain linear continuous-time (CT) and discrete-time (DT) systems subjected to bounded disturbances and noise. Our approach guarantees enclosure of the true state and…

系统与控制 · 电气工程与系统科学 2025-12-04 Feiya Zhu , Tarun Pati , Sze Zheng Yong

Nonlinear systems of affine control inputs overarch many sensor fusion instances. Analyzing whether a state variable in such a nonlinear system can be estimated (i.e., observability) informs better estimator design. Among the research on…

系统与控制 · 电气工程与系统科学 2022-07-19 Jianzhu Huai , Yukai Lin , Yujia Zhang

This work develops a novel basis-adaptive method for constructing anisotropic polynomial chaos expansions of multidimensional (vector-valued, multi-output) model responses. The adaptive basis selection is based on multivariate sensitivity…

计算工程、金融与科学 · 计算机科学 2024-10-11 Dimitrios Loukrezis , Eric Diehl , Herbert De Gersem

Consistency training regularizes a model by enforcing predictions of original and perturbed inputs to be similar. Previous studies have proposed various augmentation methods for the perturbation but are limited in that they are agnostic to…

计算与语言 · 计算机科学 2022-04-29 Jungsoo Park , Gyuwan Kim , Jaewoo Kang

We present an approach to compute stabilizing controllers for continuous-time linear time-invariant systems directly from an input-output trajectory affected by process and measurement noise. The proposed output-feedback design combines (i)…

系统与控制 · 电气工程与系统科学 2025-11-17 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Bowen Yi , Giuseppe Notarstefano

In this paper we provide a set of stability conditions for linear time-varying networked control systems with arbitrary topologies using a piecewise quadratic switching stabilization approach with multiple quadratic Lyapunov functions. We…

最优化与控制 · 数学 2018-04-04 Mohammad Razeghi-Jahromi , Saeed Manaffam , Alireza Seyedi , Azadeh Vosoughi

This paper considers the problem of controlling a piecewise continuously differentiable system subject to time-varying uncertainties. The uncertainties are decomposed into a time-invariant, linearly-parameterized portion and a time-varying…

系统与控制 · 电气工程与系统科学 2025-03-12 Ying-Chun Chen , Craig Woolsey

Motivated by applications in single-cell biology and metagenomics, we investigate the problem of matrix reordering based on a noisy disordered monotone Toeplitz matrix model. We establish the fundamental statistical limit for this problem…

统计理论 · 数学 2023-08-15 T. Tony Cai , Rong Ma

In this paper, we consider the distributed estimation problem of a linear stochastic system described by an autoregressive model with exogenous inputs (ARX) when both the system orders and parameters are unknown. We design distributed…

系统与控制 · 电气工程与系统科学 2021-10-20 Die Gan , Zhixin Liu

The scope of this research is a problem of the direct model reference adaptive control of linear time-invariant multi-input multi-output (MIMO) plants without any a priori knowledge about system matrices. To handle it, a new method is…

系统与控制 · 电气工程与系统科学 2023-03-29 Anton Glushchenko , Konstantin Lastochkin

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

机器人学 · 计算机科学 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

This paper deals with the stabilization problem for nonlinear control-affine systems with the use of oscillating feedback controls. We assume that the local controllability around the origin is guaranteed by the rank condition with Lie…

最优化与控制 · 数学 2019-08-09 Alexander Zuyev , Victoria Grushkovskaya

The problem of remotely stabilizing a noisy linear time invariant plant over a Gaussian relay network is addressed. The network is comprised of a sensor node, a group of relay nodes and a remote controller. The sensor and the relay nodes…

最优化与控制 · 数学 2013-07-30 Ali A. Zaidi , Tobias J. Oechtering , Serdar Yuksel , Mikael Skoglund

In this paper, we present a data-driven controller design method for continuous-time nonlinear systems, using no model knowledge but only measured data affected by noise. While most existing approaches focus on systems with polynomial…

系统与控制 · 电气工程与系统科学 2022-02-11 Robin Strässer , Julian Berberich , Frank Allgöwer

This paper considers a disturbance attenuation problem for a linear discrete time invariant system under random disturbances with imprecisely known probability distributions. The statistical uncertainty is measured in terms of relative…

系统与控制 · 计算机科学 2015-03-19 Michael M. Tchaikovsky , Alexander P. Kurdyukov , Victor N. Timin

We develop an indirect-adaptive model predictive control algorithm for uncertain linear systems subject to constraints. The system is modeled as a polytopic linear parameter varying system where the convex combination vector is constant but…

系统与控制 · 计算机科学 2015-09-25 Stefano Di Cairano

In this paper we provide a set of stability conditions for linear time-invariant networked control systems with arbitrary topology, using a Lyapunov direct approach. We then use these stability conditions to provide a novel low-complexity…

最优化与控制 · 数学 2014-01-27 Mohammad Razeghi-Jahromi , Alireza Seyedi