Results 221 to 230 of about 6,058 (264)

Measure-theoretic topological stability and measure-theoretic shadowing property for random dynamical systems

Journal of Mathematical Analysis and Applications
Shaoting Xie, Jian-Dong Yin
semanticscholar   +2 more sources

Stability Analysis of Complex Network Control System With Dynamical Topology and Delays

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2021
This article studies the issue of stability for complex network control systems, which comprise multisystems and multicontrollers. These systems and controllers are coupled with each other and linked by communication networks with random delays. The system and controller network topologies are subject to jump, and the dynamic is captured by two models,
Meng Li 0011, Yong Chen 0010, Cheng-Chew Lim   +2 more
openaire   +1 more source

Characterizing fluid dynamical systems using Euler characteristic surface and Euler metric

The Physics of Fluids, 2023
Euler characteristic (χ), a topological invariant, helps to understand the topology of a network or complex. We demonstrate that the multi-scale topological information of dynamically evolving fluid flow systems can be crystallized into their Euler ...
A. Roy, R. A. I. Haque, A. J. Mitra, S. Tarafdar, T. Dutta   +4 more
semanticscholar   +1 more source

Topological stability for homeomorphisms with global attractor

Canadian mathematical bulletin, 2023
We prove that every topologically stable homeomorphism with global attractor of $\mathbb {R}^n$ is topologically stable on its global attractor. The converse is not true.
C. Morales, N. T. Nguyen
semanticscholar   +1 more source

Topology-free stability of a steady state in network systems with dynamic connections

Physical Review E, 2011
This paper investigates the robust stability of a steady state in network systems with dynamic connections. A linear stability analysis reveals that the odd number property holds for any network topology. It is shown that the stability of the steady state in network systems with topological uncertainty is governed by the interval family of real ...
Keiji, Konishi, Naoyuki, Hara
openaire   +2 more sources

Topology-dependent stability of a network of dynamical systems with communication delays

2007 European Control Conference (ECC), 2007
In this paper, we analyze the stability of a network of first-order linear time-invariant systems with constant, identical communication delays. We investigate the influence of both system parameters and network characteristics on stability. In particular, a non-conservative stability bound for the delay is given such that the network is asymptotically
Angela Schollig, Ulrich Munz, Frank Allgower   +2 more
openaire   +1 more source

Stability Analysis of Block Logical Dynamical Systems and Its Application in Logical Networks With Time Delay

IEEE Transactions on Automatic Control
A new class of nonlinear systems, block logical dynamical systems (BLDSs), is introduced in this note. The existence and uniqueness of solution to BLDSs are first investigated.
Haitao Li, Yalu Li, Wen-Rong Li, Yan-Sheng Liu   +3 more
semanticscholar   +1 more source

A topological approach to the problem of existence of a common stabilizer for a family of dynamical systems

Doklady Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Korovin, S. K., Il'in, A. V., Fomichev, V. V., Fursov, A. S.   +3 more
openaire   +1 more source

Pointed Gromov-Hausdorff Topological Stability for Non-compact Metric Spaces

Qualitative Theory of Dynamical Systems, 2022
We combine the pointed Gromov-Hausdorff metric with the locally C0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{
Luis Eduardo Osorio Acevedo, H. M. Sánchez   +1 more
semanticscholar   +1 more source

Dynamic Voltage Stability Assessment in Large Power Systems With Topology Control Actions

IEEE Transactions on Power Systems, 2016
This paper proposes a tractable and scalable algorithm to identify and analyze bifurcation points of a large-scale power system model, which are directly related to dynamic voltage instability problems. Different types of bifurcations are analyzed, including: saddle-node (fold), Hopf, singularity-induced and limit-induced.
Aleksandar M. Stankovic, Andrija T. Saric   +1 more
openaire   +1 more source