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We consider discrete-time switching systems composed of a finite family of affine sub-dynamics. First, we recall existing results and present further analysis on the stability problem, the existence and characterization of compact…

Systems and Control · Electrical Eng. & Systems 2021-09-24 Matteo Della Rossa , Zheming Wang , Lucas N. Egidio , Raphaël M. Jungers

Data-Driven Inversion-Based Control (D$^{2}$-IBC) is a recently introduced control design method for uncertain nonlinear systems, relying on a two degree-of-freedom architecture, with a nonlinear controller and a linear controller running…

Systems and Control · Computer Science 2018-01-30 Carlo Novara , Simone Formentin

We propose a frequency-domain approach to dominance analysis for multi-input multi-output (MIMO) linear time-invariant systems. The dominance of a MIMO system is defined to be the number of its poles in the open right half-plane. Our…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Chao Chen , Thomas Chaffey , Rodolphe Sepulchre

We present a new data-driven method to provide probabilistic stability guarantees for black-box switched linear systems. By sampling a finite number of observations of trajectories, we construct approximate Lyapunov functions and deduce the…

Optimization and Control · Mathematics 2021-05-04 Anne Rubbens , Zheming Wang , Raphaël M. Jungers

Blind modulation classification is an important step to implement cognitive radio networks. The multiple-input multiple-output (MIMO) technique is widely used in military and civil communication systems. Due to the lack of prior information…

Machine Learning · Computer Science 2020-04-02 Weiheng Jiang , Xiaogang Wu , Bolin Chen , Wenjiang Feng , Yi Jin

This paper presents a critical review of methods commonly employed in the literature for small signal stability analysis of inverter based resources (IBRs). It discusses the intended purposes of these methods and outlines both their proper…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Anton A. Stoorvogel , Saeed Lotfifard , Ali Saberi

Nyquist criterion-based impedance ratio criteria (IRCs) have been widely applied for inspecting the risk of small-signal instability among converter-based AC power systems. Aided by a comparative study on voltage source converter, including…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Chongbin Zhao , Qirong Jiang

A new feature selection method based on an improved maximal relevance and minimal redundancy (mRMR) criterion was proposed for power system transient stability assessment. First, the standard mRMR was improved by introducing a weight…

Signal Processing · Electrical Eng. & Systems 2019-03-06 Yang Li , Xueping Gu

Gravitational waves (GW) emitted by binary systems allow us to perform precision tests of general relativity in the strong field regime. Ringdown signals allow for probing black hole mass and spin with high precision in GW astronomy. With…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Song-Tao Liu , Tian-Yang Sun , Yu-Xin Wang , Yong-Xin Zhang , Shang-Jie Jin , Jing-Fei Zhang , Xin Zhang

Analyzing the stability of the power system by using a few machines is promising for transient stability assessment. A hybrid direct-time-domain method that is fully based on the thinking of partial energy function is proposed in this…

Signal Processing · Electrical Eng. & Systems 2017-11-15 Songyan Wang , Jilai Yu , Wei Zhang

Power systems, including synchronous generator systems, are typical systems that strive for stable operation. In this article, we numerically study the fault transient process of a synchronous generator system based on the first benchmark…

Numerical Analysis · Mathematics 2025-02-25 Sixu Wu , Feng Ji , Lu Gao , Ruili Zhang , Cunwei Tang , Yifa Tang

It is the pursuit of a multiple-input-multiple-output (MIMO) system to approach and even break the limit of channel capacity. However, it is always a big challenge to efficiently characterize the MIMO systems in complex space and get better…

Signal Processing · Electrical Eng. & Systems 2023-01-16 Ruifeng Li , Da Li , Jinyan Ma , Zhaoyang Feng , Ling Zhang , Shurun Tan , Wei E. I. Sha , Hongsheng Chen , Er-Ping Li

We propose a quantitative direct method to prove the local stability of a stationary solution for a rough differential equation and its regular discretization scheme. Using Doss-Sussmann technique and stopping time analysis, we provide…

Dynamical Systems · Mathematics 2025-09-24 Luu Hoang Duc , Phan Thanh Hong , Nguyen Dinh Cong

We propose a framework for studying the stability of discrete-event systems modelled as switching max-plus linear systems. In this framework, we propose a set of notions of stability for generic discrete-event systems in the max-plus…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Abhimanyu Gupta , Ton van den Boom , Jacob van der Woude , Bart De Schutter

In this study, we propose a novel multi-objective Bayesian optimization (MOBO) method to efficiently identify the Pareto front (PF) defined by risk measures for black-box functions under the presence of input uncertainty (IU). Existing BO…

Machine Learning · Statistics 2023-11-27 Yu Inatsu , Shion Takeno , Hiroyuki Hanada , Kazuki Iwata , Ichiro Takeuchi

This paper employs modal analysis to study the core inertial dynamics of governor-controlled synchronous generators (GC-SG), droop-based grid-forming (GFM) converters, and their most fundamental interactions. The results indicate that even…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Gerardo Medrano , Santiago Cóbreces

Transient stability assessment of power systems needs to account for increased risk from uncertainties due to the integration of renewables and distributed generators. The uncertain operating condition of the power grid hinders reliable…

Dynamical Systems · Mathematics 2017-05-04 Dongchan Lee , Konstantin Turitsyn

We propose an input-output data-driven framework for certifying the stability of interconnected multiple-input-multiple-output linear time-invariant discrete-time systems via QSR-dissipativity. That is, by using measured input-output…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Alejandra Sandoval-Carranza , Juan E. Machado , Johannes Schiffer

We study the dynamical stability of self-gravitating systems in presence of anisotropy. In particular, we introduce a stability criterion, in terms of the adiabatic local index, that generalizes the stability condition $<\gamma> \geq 4/3$…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Giuseppe Alberti

In this paper, we address the problem of data-driven stabilization of continuous-time multi-input multi-output (MIMO) linear time-invariant systems using the input-output data collected from an experiment. Building on recent results for…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Haihui Gao , Alessandro Bosso , Lei Wang , David Saussié , Bowen Yi
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