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In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay. The main novelty of our approach lies on the use of…

This paper provides the phase transition analysis of a reaction diffusion equations system modeling dynamic instability of microtubules. For this purpose we have generalized the macroscopic model studied by Mour\~ao et all [MSS]. This model…

偏微分方程分析 · 数学 2015-06-17 Shantia Yarahmadian , Masoud Yari

Research of delayed neural networks with variable self-inhibitions, inter-connection weights, and inputs is an important issue. %In the real world, self-inhibitions, %inter-connection weights, and inputs should vary through time. In In this…

动力系统 · 数学 2007-05-23 Wenlian Lu , Tianping Chen

We study the Maximum Independent Set (MIS) problem under the notion of stability introduced by Bilu and Linial (2010): a weighted instance of MIS is $\gamma$-stable if it has a unique optimal solution that remains the unique optimum under…

数据结构与算法 · 计算机科学 2021-11-30 Haris Angelidakis , Pranjal Awasthi , Avrim Blum , Vaggos Chatziafratis , Chen Dan

In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, for interaction between an incompressible viscous fluid and a thin structure. We consider a benchmark…

数值分析 · 数学 2014-06-16 Martina Bukac

This paper proposes methods to handle the problem of delay range stability analysis for a linear coupled differential-difference system (CDDS) with distributed delays subject to dissipative constraints. The model of linear CDDS contains…

系统与控制 · 计算机科学 2018-06-21 Qian Feng , Sing Kiong Nguang

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

偏微分方程分析 · 数学 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

The concept of friction-induced brake vibrations, commonly known as judder, is investigated. Judder vibration is based on the class of geometrically induced or kinematic constraint instability. After presenting the modal coupling mechanism…

经典物理 · 物理学 2012-09-28 Sylvain Lignon , Jean-Jacques Sinou , Louis Jezequel

We develop a general theoretical framework for characterizing stable quantum resources between microwave and optical modes in the dynamics of multipartite hybrid quantum systems with intermediary modes. The effective Hamiltonian for…

量子物理 · 物理学 2026-02-12 Fan Li , Shi-fan Qi , Z. D. Wang , Yan-Kui Bai

The pinning of an inhomogeneous elastic medium by a disordered substrate is studied analytically and numerically. The static and dynamic properties of a $D$-dimensional system are shown to be equivalent to those of the well known problem of…

统计力学 · 物理学 2009-10-30 D. Cule , T. Hwa

Consensusability of multi-agent systems (MASs) certifies the existence of a distributed controller capable of driving the states of each subsystem to a consensus value. We study the consensusability of linear interconnected MASs (LIMASs)…

系统与控制 · 电气工程与系统科学 2021-05-12 Mustafa Sahin Turan , Liang Xu , Giancarlo Ferrari-Trecate

We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic…

统计力学 · 物理学 2009-11-11 Hiroyuki Shima , Yasunori Sakaniwa

In this work we study the mass-spring system \begin{equation} \ddot x + \alpha \dot x + x = - \frac{\lambda} {(1+x)^{2}}, \label{e:inertia} \end{equation} which is a simplified model for an electrostatically actuated MEMS device. The static…

经典分析与常微分方程 · 数学 2016-03-08 Gilberto Flores

Incremental stability is a property of dynamical and control systems, requiring the uniform asymptotic stability of every trajectory, rather than that of an equilibrium point or a particular time-varying trajectory. Similarly to stability,…

最优化与控制 · 数学 2012-07-03 Majid Zamani , Nathan van de Wouw , Rupak Majumdar

We consider the motion of two inviscid, compressible, and electrically conducting fluids separated by an interface across which there is no fluid flow in the presence of surface tension. The magnetic field is supposed to be nowhere…

偏微分方程分析 · 数学 2022-02-25 Yuri Trakhinin , Tao Wang

This letter demonstrates how synthetic inertia can be obtained with the control of flexible discrete devices to keep the power balance of power systems, even if the system does not include any synchronous generator or conventional…

系统与控制 · 电气工程与系统科学 2025-04-23 A. Vaca , F. Milano

In this paper, we investigate the robustness to external disturbances of switched discrete and continuous systems with multiple equilibria. It is shown that if each subsystem of the switched system is Input-to-State Stable (ISS), then under…

系统与控制 · 计算机科学 2018-09-11 Sushant Veer , Ioannis Poulakakis

We propose a quantitative direct method to prove the local stability of a stationary solution for a rough differential equation and its regular discretization scheme. Using Doss-Sussmann technique and stopping time analysis, we provide…

动力系统 · 数学 2025-09-24 Luu Hoang Duc , Phan Thanh Hong , Nguyen Dinh Cong

Minimal models of self-propelled particles with short-range volume exclusion interactions have been shown to exhibit signatures of phase separation. Here I show that the observed interfacial stability and fluctuations in motility-induced…

软凝聚态物质 · 物理学 2017-01-11 Chiu Fan Lee

When electric vehicles (EVs) are integrated into standalone DC microgrids (DCMGs), stability issues arise due to their constant power load (CPL) behavior, which provides negative incremental impedance (NII). In addition, the microgrids…

系统与控制 · 电气工程与系统科学 2025-10-28 Md Saiful Islam , Rahul Bhadani