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We consider interconnected nonlinear systems with external inputs, where each of the subsystems is assumed to be input-to-state stable (ISS). Sufficient conditions of small gain type are provided guaranteeing that the interconnection is ISS…

Dynamical Systems · Mathematics 2010-06-14 Sergey Dashkovskiy , Michael Kosmykov , Fabian Wirth

This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we have established the stability theory and proposed stability conditions based on the delta dissipativity. In Part…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Yifan Su , Xiaoyu Peng , Hua Geng , Feng Liu

This paper proposes a holistic framework for parameter coordination of a power electronic-interfaced microgrid interconnection against natural disasters. The paper identifies a transient stability issue in a microgrid interconnection. Based…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Tong Huang , Hongbo Sun , Kyeong Jin Kim , Daniel Nikovski , Le Xie

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

As modern power systems continue to evolve into multi-agent, converter-dominated systems that demand reliable, stable, and optimal control architectures within an expandable framework, this paper investigates scalable stability guarantees…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Cornelia Skaga , Mahdieh S. Sadabadi , Gilbert Bergna-Diaz

The increasing share of renewable generation leads to new challenges in reliable power system operation, such as the rising volatility of power generation, which leads to time-varying dynamics and behavior of the system. To counteract the…

Systems and Control · Electrical Eng. & Systems 2019-11-06 Amer Mešanović , Ulrich Münz , Rolf Findeisen

A general sufficient condition for the convergence of subsequences of solutions of non-autonomous, nonlinear difference equations and systems is obtained. For higher order equations the delay sizes and patterns play essential roles in…

Dynamical Systems · Mathematics 2017-07-25 H. Sedaghat

In this paper we consider switched nonlinear systems under average dwell time switching signals, with an otherwise arbitrary compact index set and with additional constraints in the switchings. We present invariance principles for these…

Optimization and Control · Mathematics 2009-12-24 J. L. Mancilla-Aguilar , R. A. Garcia

A notion of disturbance propagation stability is defined for dynamical network processes, in terms of decrescence of an input-output energy metric along cutsets away from the disturbance source. A characterization of the disturbance…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Sandip Roy , Subir Sarker , Mengran Xue

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

In this paper, we present a novel approach to identify the generators and states responsible for the small-signal stability of power networks. To this end, the newly developed notion of information transfer between the states of a dynamical…

Systems and Control · Computer Science 2018-09-21 Subhrajit Sinha , Pranav Sharma , Umesh Vaidya , Venkataramana Ajjarapu

Scaling transformations involving a small parameter ({\em degenerate scalings}) are frequently used for ordinary differential equations that model (bio-) chemical reaction networks. They are motivated by quasi-steady state (QSS) of certain…

Dynamical Systems · Mathematics 2022-09-20 Christian Lax , Sebastian Walcher

With the gradual transformation of power generation towards renewables, distributed energy resources are becoming more and more relevant for grid stabilization. In order to involve all participants in the joint solution of this challenging…

Optimization and Control · Mathematics 2019-12-18 Lukas Kölsch , Katharina Wieninger , Stefan Krebs , Sören Hohmann

This paper proposes a method for generating typical scenarios based on system-level macroscopic characteristics of power system and considering its stability properties. First, considering uncertainties such as renewable energy generation…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Tao Li , Chen Shen

The energy transition towards an increased supply of renewable energy raises concerns that existing electricity grids, built to connect few centralized large power plants with consumers, may become more difficult to control and stabilized…

Chaotic Dynamics · Physics 2016-12-23 S. Kettemann

This paper proposes a distributed strategy regulated on a subset of individual buses in a power network described by the swing equations to achieve transient frequency control while preserving asymptotic stability. Transient frequency…

Systems and Control · Computer Science 2018-09-18 Yifu Zhang , Jorge Cortes

We develop a generalized stability framework for stochastic discrete-time systems, where the generality pertains to the ways in which the distribution of the state energy can be characterized. We use tools from finance and operations…

Systems and Control · Electrical Eng. & Systems 2022-11-23 Margaret P. Chapman , Dionysios S. Kalogerias

Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major debate. Decentral Smart Grid Control (DSGC) was recently…

Adaptation and Self-Organizing Systems · Physics 2016-10-31 Benjamin Schäfer , Carsten Grabow , Sabine Auer , Jürgen Kurths , Dirk Witthaut , Marc Timme

We investigate the stabilization of unstable multidimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels under fixed-rate information…

Optimization and Control · Mathematics 2012-09-21 Andrew P. Johnston , Serdar Yüksel

In this paper, the incremental stability of interconnected switched nonlinear systems is discussed. The nature of switching considered is state-dependent. The incremental stability of the switched interconnected system is a stronger…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Bhabani Shankar Dey , Indra Narayan Kar , Pushpak Jagtap
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