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This paper proposes a novel Gronwall inequality-based method for transient stability assessment for power systems. The challenges of applying such methods to power systems are how to construct the differential inequality and how to treat…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Qian Zhang , Deqiang Gan

This paper demonstrates the concept of probabilistic stability assessment on large-signal stability in the use case of short circuits in an active distribution grid. Here, the concept of survivability is applied, which extends classical…

Systems and Control · Electrical Eng. & Systems 2021-06-18 Sebastian Liemann , Lia Strenge , Paul Schultz , Holm Hinners , Johannis Porst , Marcel Sarstedt , Frank Hellmann

We propose a novel flexible-step model predictive control algorithm for unknown linear time-invariant discrete-time systems. The goal is to asymptotically stabilize the system without relying on a pre-collected dataset that describes its…

Optimization and Control · Mathematics 2025-10-02 Markus Pietschner , Christian Ebenbauer , Bahman Gharesifard , Raik Suttner

This paper introduces an adaptive-neuro geometric control for a centralized multi-quadrotor cooperative transportation system, which enhances both adaptivity and disturbance rejection. Our strategy is to coactively tune the model parameters…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Tianhua Gao , Kohji Tomita , Akiya Kamimura

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

Optimization and Control · Mathematics 2011-10-04 Debasish Chatterjee , Daniel Liberzon

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive…

Optimization and Control · Mathematics 2013-11-15 Corentin Briat

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…

Optimization and Control · Mathematics 2014-01-27 Mohammad Razeghi-Jahromi , Alireza Seyedi

We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom. We develop a stability theory for a class of partitioned linear systems with symmetries that has…

Optimization and Control · Mathematics 2020-11-12 Taouba Jouini , Florian Dörfler

Before 2025, no open-source system existed that could learn Lyapunov stability certificates directly from noisy, real-world flight data. This work addresses that gap by proposing a data-driven approach that learns Lyapunov functions from…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Zhe Shen

In this paper, we consider the data-driven discovery of stable dynamical models with a single equilibrium. The proposed approach uses a basis-function parameterization of the differential equations and the associated Lyapunov function. This…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Zhe Li , Ilias Mitrai

This article deals with stability of continuous-time switched linear systems under constrained switching. Given a family of linear systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which…

Systems and Control · Computer Science 2017-11-27 Atreyee Kundu , Debasish Chatterjee

This work presents an approach to synthesize a Lyapunov-like function to ensure incrementally input-to-state stability ($\delta$-ISS) property for an unknown discrete-time system. To deal with challenges posed by unknown system dynamics, we…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Ahan Basu , Bhabani Shankar Dey , Pushpak Jagtap

This thesis addresses the question of stability of systems defined by differential equations which contain nonlinearity and delay. In particular, we analyze the stability of a well-known delayed nonlinear implementation of a certain…

Dynamical Systems · Mathematics 2007-05-23 Matthew M. Peet

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal is to address limitations of existing approaches, in…

Optimization and Control · Mathematics 2025-09-01 Alexis Vuille , Guillaume O. Berger , Raphaël M. Jungers

This article presents novel methods for synthesizing distributionally robust stabilizing neural controllers and certificates for control systems under model uncertainty. A key challenge in designing controllers with stability guarantees for…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Kehan Long , Jorge Cortes , Nikolay Atanasov

We construct a generic, simple, and efficient scheduling policy for stochastic processing networks, and provide a general framework to establish its stability. Our policy is randomized and prioritized: with high probability it prioritizes…

Probability · Mathematics 2012-10-02 Antonius B. Dieker , Jinwoo Shin

We consider stability and network capacity in discrete time queueing systems. Relationships between four common notions of stability are described. Specifically, we consider rate stability, mean rate stability, steady state stability, and…

Networking and Internet Architecture · Computer Science 2010-03-18 Michael J. Neely

Modern power networks face increasing challenges in controlling their transient frequency behavior at acceptable levels due to low inertia and highly-dynamic units. This paper presents a distributed control strategy regulated on a subset of…

Systems and Control · Computer Science 2018-09-20 Yifu Zhang , Jorge Cortes

Predictive safety filters provide a way of projecting potentially unsafe inputs, proposed, e.g. by a human or learning-based controller, onto the set of inputs that guarantee recursive state and input constraint satisfaction by leveraging…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Alexandre Didier , Andrea Zanelli , Kim P. Wabersich , Melanie N. Zeilinger

In this article, we present a new scheme that approximates unknown sensorimotor models of robots by using feedback signals only. The formulation of the uncalibrated sensor-based regulation problem is first formulated, then, we develop a…

Robotics · Computer Science 2020-07-07 David Navarro-Alarcon , Jiaming Qi , Jihong Zhu , Andrea Cherubini