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The two-state model of stochastic resonance is extended to a chain of coupled two-state elements governed by the dynamics of Glauber's stochastic Ising model. Appropriate assumptions on the model parameters turn the chain into a prototype…

Statistical Mechanics · Physics 2009-10-31 Udo Siewert , Lutz Schimansky-Geier

Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world property, consisting in existence of relatively short paths…

Social and Information Networks · Computer Science 2017-02-28 Jaroslav Hlinka , David Hartman , Milan Paluš

How systems transit between different stable states under external perturbation is an important practical issue. We discuss here how a recently-developed energy optimization method for identifying the minimal disturbance necessary to reach…

Pattern Formation and Solitons · Physics 2018-05-02 Daniel Lecoanet , Rich R. Kerswell

With the increase of uncertain and intermittent renewable energy supply on the grid, the power system has become more vulnerable to instability. In this paper, we develop a demand response strategy to improve power system small-signal…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Mengqi Yao , Sandip Roy , Johanna L. Mathieu

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

This paper studies input-to-state stability (ISS) of general nonlinear time-delay systems subject to delay-dependent impulse effects. Sufficient conditions for ISS are constructed by using the method of Lyapunov functionals. It is shown…

Optimization and Control · Mathematics 2022-06-09 Xinzhi Liu , Kexue Zhang

This paper studies integral input-to-state stability (iISS) of nonlinear impulsive systems with time-delay in both the continuous dynamics and the impulses. Several iISS results are established by using the method of Lyapunov-Krasovskii…

Systems and Control · Computer Science 2022-06-09 Kexue Zhang

We consider noisy input/state data collected from an experiment on a polynomial input-affine nonlinear system. Motivated by event-triggered control, we provide data-based conditions for input-to-state stability with respect to measurement…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Hailong Chen , Andrea Bisoffi , Claudio De Persis

Multistationarity - the existence of multiple equilibrium points - is a common phenomenon in dynamical systems from a variety of fields, including neuroscience, opinion dynamics, systems biology, and power systems. A recently proposed…

Systems and Control · Electrical Eng. & Systems 2024-08-26 Ron Ofir , Francesco Bullo , Michael Margaliot

This paper deals with the analysis of input/output-to-state stability (IOSS) and construction of state-norm estimators for continuous-time switched nonlinear systems under restricted switching. Our contributions are twofold. First, given a…

Optimization and Control · Mathematics 2024-04-25 Atreyee Kundu

We propose and experimentally demonstrate an optimal non-unity gain Gaussian scheme for partial measurement of an unknown coherent state that causes minimal disturbance of the state. The information gain and the state disturbance are…

A networked output feedback loop subject to packetized transmissions of the output signal is considered. Based on the small gain theorem, an easy-to-use stability criterion covering two important cases is presented. In the first case a…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Martin Steinberger , Martin Horn

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

This paper introduces two sample-based formulations of incremental input/output-to-state stability (i-IOSS), a suitable detectability notion for general nonlinear systems. In this work we consider the case of limited output information,…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

In previous work the notion of input to state stability (ISS) has been generalized to systems with outputs, yielding a number of useful concepts. When considering a system whose output is to be kept small (i.e. an error output), the notion…

Optimization and Control · Mathematics 2007-05-23 Brian P. Ingalls , Eduardo D. Sontag , Yuan Wang

Impedance is an intuitive and efficient way for dynamic representation of power electronics devices. One of the evident strengths, when compared to other small-signal methods, is the natural association with circuit theory. This makes them…

Systems and Control · Computer Science 2018-11-16 Chen Zhang , Marta Molinas , Atle Rygg , Xu Cai

The neocortex has a remarkably uniform neuronal organization, suggesting that common principles of processing are employed throughout its extent. In particular, the patterns of connectivity observed in the superficial layers of the visual…

Neurons and Cognition · Quantitative Biology 2011-05-17 Ueli Rutishauser , Rodney J. Douglas , Jean-Jacques Slotine

Incremental stability is a property of dynamical systems that ensures the convergence of trajectories with respect to each other rather than a fixed equilibrium point or a fixed trajectory. In this paper, we introduce a related stability…

Systems and Control · Electrical Eng. & Systems 2025-10-14 P Sangeerth , David Smith Sundarsingh , Bhabani Shankar Dey , Pushpak Jagtap

We identify a unifying measure for stochastic resonance (SR) in voltage dependent ion channels which comprises periodic (conventional), aperiodic and nonstationary SR. Within a simplest setting, the gating dynamics is governed by two-state…

Statistical Mechanics · Physics 2009-10-31 Igor Goychuk , Peter Hanggi

Non-orthogonal access techniques have recently gained renewed interest in the context of next generation wireless networks. As the relative gain, with respect to traditionally employed orthogonal-access techniques depends on many factors,…

Information Theory · Computer Science 2017-09-26 Uri Erez