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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…

信号处理 · 电气工程与系统科学 2017-11-15 Songyan Wang , Jilai Yu , Wei Zhang

In many real-world reinforcement learning (RL) problems, besides optimizing the main objective function, an agent must concurrently avoid violating a number of constraints. In particular, besides optimizing performance it is crucial to…

机器学习 · 计算机科学 2018-05-22 Yinlam Chow , Ofir Nachum , Edgar Duenez-Guzman , Mohammad Ghavamzadeh

We present a stability analysis framework for the general class of discrete-time linear switching systems for which the switching sequences belong to a regular language. They admit arbitrary switching systems as special cases. Using recent…

动力系统 · 数学 2014-11-17 Matthew Philippe , Raphaël M. Jungers

We address the stability problem for linear switching systems with mode-dependent restrictions on the switching intervals. Their lengths can be bounded as from below (the guaranteed dwell-time) as from above. The upper bounds make this…

最优化与控制 · 数学 2022-06-01 Vladimir Yu. Protasov , Rinat Kamalov

This paper provides necessary conditions and sufficient conditions for the (global) Input-to-State Stability property of simple uncertain vehicular-traffic network models under the effect of a PI-regulator. Local stability properties for…

最优化与控制 · 数学 2013-08-13 Iasson Karafyllis , Markos Papageorgiou

Polyhedral Lyapunov functions can approximate any norm arbitrarily well. Because of this, they are used to study the stability of linear time varying and linear parameter varying systems without being conservative. However, the…

最优化与控制 · 数学 2021-03-08 Dimitris Kousoulidis , Fulvio Forni

In this paper, we consider the problem of platooning control with mismatched disturbances using the distributed adaptive backstepping method. The main challenges are: (1) maintaining the compositionality and the distributed nature of the…

系统与控制 · 电气工程与系统科学 2022-11-30 Zihao Song , Shirantha Welikala , Panos J. Antsaklis , Hai Lin

Considering a nonlinear system in Byrnes-Isidori form that is subject to unbounded perturbations, we apply Lyapunov redesign via feedback linearisation for trajectory tracking. Leveraging the ideas of tube-based geometric characterisation…

系统与控制 · 电气工程与系统科学 2025-12-16 Niclas Tietze , Kai Wulff , Johann Reger

This paper proposes several Converse Lyapunov Theorems for nonlinear dynamical systems defined on smooth connected Riemannian manifolds and characterizes properties of corresponding Lyapunov functions in a normal neighborhood of an…

最优化与控制 · 数学 2014-06-25 Farzin Taringoo , Peter M. Dower , Dragan Nešić , Ying Tan

By computing Lyapunov functions of a certain, convenient structure, Lyapunov-based methods guarantee stability properties of the system or, when performing synthesis, of the relevant closed-loop or error dynamics. In doing so, they provide…

最优化与控制 · 数学 2024-10-01 T. J. Meijer , V. S. Dolk , W. P. M. H. Heemels

This work analyzes accelerating and decelerating wall-driven flows by quantifying the upper bound of transient energy growth using a Lyapunov-type approach. By formulating the linearized Navier-Stokes equations as a linear time-varying…

流体动力学 · 物理学 2026-03-16 Zhengyang Wei , Weichen Zhao , Chang Liu

Linear Parameter-Varying (LPV) systems with jumps and piecewise differentiable parameters is a class of hybrid LPV systems for which no tailored stability analysis and stabilization conditions have been obtained so far. We fill this gap…

最优化与控制 · 数学 2020-12-07 Corentin Briat

This paper aims to investigate the risk identification problem of power transmission system that is integrated with renewable energy sources. In practice, the fluctuation of power generation from renewable energy sources can lead to severe…

系统与控制 · 计算机科学 2018-11-26 Chao Zhai , Gaoxi Xiao , Hehong Zhang , Tso-Chien Pan

This paper reports a robust scheme for topology identification and control of networks running on linear dynamics. In the proposed method, the unknown network is enforced to asymptotically follow a reference dynamics using the combination…

最优化与控制 · 数学 2014-06-18 Mahyar Fazlyab , Victor M. Preciado

In this work, we present a Lyapunov framework for establishing stability with respect to a compact set for a nested interconnection of nonlinear dynamical systems ordered from slow to fast according to their convergence rates, where each of…

最优化与控制 · 数学 2021-01-12 Irina Subotić , Dominic Groß , Marcello Colombino , Florian Dörfler

We present an efficient and validated method for approximating the stationary measures of random dynamical systems with smooth additive noise. The approach leverages the strong regularizing properties of the associated transfer operator…

动力系统 · 数学 2026-02-24 Stefano Galatolo , Charles Lopez Vereau , Luigi Marangio , Isaia Nisoli

Online identification of post-contingency transient stability is essential in power system control, as it facilitates the grid operator to decide and coordinate system failure correction control actions. Utilizing machine learning methods…

系统与控制 · 计算机科学 2017-05-23 James J. Q. Yu , David J. Hill , Albert Y. S. Lam , Jiatao Gu , Victor O. K. Li

Converse optimality theory addresses an optimal control problem conversely where the system is unknown and the value function is chosen. Previous work treated this problem both in continuous and discrete time and non-extensively considered…

最优化与控制 · 数学 2022-08-15 Rania Tafat , Thomas Göhrt , Stefan Streif

In this paper, we propose a Lyapunov-based reinforcement learning method for distributed control of nonlinear systems comprising interacting subsystems with guaranteed closed-loop stability. Specifically, we conduct a detailed stability…

系统与控制 · 电气工程与系统科学 2024-12-17 Jingshi Yao , Minghao Han , Xunyuan Yin

Control Lyapunov Functions (CLF) method gives a constructive tool for stabilization of nonlinear systems. To find a CLF, many methods have been proposed in the literature, e.g. backstepping for cascaded systems and sum of squares (SOS)…

系统与控制 · 计算机科学 2019-04-04 Anton V. Proskurnikov , Manuel Mazo