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Stability is a critical feature of distributed linear multi-input-multi-output systems. Global asymptotic stability usually can be guaranteed when using decentralised or distributed control architectures, if: (i) conservative controllers…

Optimization and Control · Mathematics 2018-03-06 Daniel O'Keeffe , Stefano Riverso , Laura Albiol-Tendillo , Gordon Lightbody

We study the global asymptotic behavior of a grid-connected constant field current synchronous generator (SG). The grid is regarded as an "infinite bus", i.e. a three-phase AC voltage source. The generator does not include any controller…

Optimization and Control · Mathematics 2016-10-18 Vivek Natarajan , George Weiss

Deep learning has had a far reaching impact in robotics. Specifically, deep reinforcement learning algorithms have been highly effective in synthesizing neural-network controllers for a wide range of tasks. However, despite this empirical…

Robotics · Computer Science 2021-09-30 Hongkai Dai , Benoit Landry , Lujie Yang , Marco Pavone , Russ Tedrake

This paper proposes a novel strategy for the current injection based control for distributed energy resources connected to weak grids through a voltage source converter experiencing faults. The current injection controller is no longer…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Runfan Zhang , Branislav Hredzak

The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional performance specifications, such as transient stability, may not…

Optimization and Control · Mathematics 2018-06-14 Liviu Aolaritei , Dongchan Lee , Thanh Long Vu , Konstantin Turitsyn

This paper proposes a frequency-wise approach for stability analysis of multi-input, multi-output (MIMO) Linear Time-Invariant (LTI) feedback systems through Scaled Relative Graphs (SRGs). Unlike traditional methods, such as the Generalized…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Eder Baron-Prada , Alberto Padoan , Adolfo Anta , Florian Dörfler

Growing penetration of renewable generation in power systems brings more challenges in transient stability assessment using direct methods. One of the reasons is the inability to assess the risk of instability brought by tripping of a large…

Systems and Control · Electrical Eng. & Systems 2020-02-05 Chen Wang , Chetan Mishra , Virgilio A. Centeno

This paper presents the positive real analysis and synthesis for Networked Control Systems (NCS) in discrete time. Based on the definition of passivity, the sufficient condition of NCS is given by stochastic Lyapunov functional. The…

Robotics · Computer Science 2008-05-01 Bambang Riyanto , Imam Arifin

When the state of a system may remain bounded even if both the input amplitude and energy are unbounded, then the state bounds given by the standard input-to-state stability (ISS) and integral-ISS (iISS) properties may provide no useful…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Hernan Haimovich , Shenyu Liu , Antonio Russo , Jose L. Mancilla-Aguilar

Input-to-state stability (ISS) unifies global asymptotic stability with respect to variations of initial conditions with robustness with respect to external disturbances. First, we present Lyapunov characterizations for input-to-state…

Optimization and Control · Mathematics 2024-06-27 Andrii Mironchenko

We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our…

Optimization and Control · Mathematics 2007-05-23 Michael Malisoff , Frederic Mazenc

The rapid increase in the integration of intermittent and stochastic renewable energy resources (RER) introduces challenging issues related to power system stability. Interestingly, identifying grid nodes that can best support stochastic…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Mohamad Kazma , Ahmad F. Taha

Low-frequency oscillations (LFOs) present a significant challenge to the stability and reliability of power systems, especially in grids with a high penetration of renewable energy sources. Traditional grid-following (GFL) inverters have…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Tamojit Chakraborty , Anamitra Pal , Sam Maleki

A Discrete-Time Linear Complementarity System (DLCS) is a dynamical system in discrete time whose state evolution is governed by linear dynamics in states and algebraic variables that solve a Linear Complementarity Problem (LCP). The DLCS…

Optimization and Control · Mathematics 2023-12-29 Arvind U. Raghunathan , Jeffrey T. Linderoth

Stochastic Gradient Descent (SGD) has been the method of choice for learning large-scale non-convex models. While a general analysis of when SGD works has been elusive, there has been a lot of recent progress in understanding the…

Machine Learning · Computer Science 2022-10-14 Satyen Kale , Jason D. Lee , Chris De Sa , Ayush Sekhari , Karthik Sridharan

We consider a grid-connected voltage source converter (VSC) and address the problem of estimating the grid angle and frequency, information that is essential for an appropriate operation of the converter. We design phase-locked loop (PLL)…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Daniele Zonetti , Oriol Gomis-Bellmunt , Eduardo Prieto-Araujo , Marc Cheah-Mane

We propose a stability analysis method for sampled-data switched linear systems with finite-level static quantizers. In the closed-loop system, information on the active mode of the plant is transmitted to the controller only at each…

Systems and Control · Computer Science 2015-09-03 Masashi Wakaiki , Yutaka Yamamoto

This paper presents a Lyapunov-Halanay method to study global asymptotic stabilization (GAS) of nonlinear retarded systems subject to large constant delays in input/output - a challenging problem due to their inherent destabilizing effects.…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Xin Yu , Wei Lin

The grid-following and grid-forming controls in voltage-source converters are considered as different operation modes and the synchronization mechanism of them are studied separately. In this article, the intrinsic relationships between…

Systems and Control · Electrical Eng. & Systems 2022-07-08 Kaizhe Zhang

We investigate the stability of the flow past two side-by-side square cylinders (at Reynolds number 200 and gap ratio 1) using tools from dynamical systems theory. The flow is highly irregular due to the complex interaction between the…

Fluid Dynamics · Physics 2026-05-06 Sidhartha Sahu , George Papadakis