Results 201 to 210 of about 4,078 (232)

Stability for dynamical systems with first integrals: A topological criterion

Systems and Control Letters, 1992
Let \(\Phi\) denote a continuous flow on an open set of \(\mathbb{R}^ n\) containing the origin \({\mathcal O}\). Assume that \({\mathcal O}\) is an equilibrium point for the flow. Further, assume that \(\Phi\) possesses a set of \(k\) continuous first integrals, \(G(x)=(G_ 1(x),\dots,G_ k(x))\), and denote by \(\Phi^ h\) the restriction of \(\Phi\) to
R Sépulchre, D Aeyels
exaly   +3 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

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
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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
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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
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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
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Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems

1995
In this chapter we introduce and discuss the following fundamental notions that will be used throughout the book: topological equivalence of dynamical systems and their classification, bifurcations and bifurcation diagrams, and topological normal forms for bifurcations. The last section is devoted to the more abstract notion of structural stability. In
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GEOMETRY OF DYNAMICAL SYSTEMS AND TOPOLOGICAL STABILITY: FROM BIFURCATION, CHAOS AND FRACTALS TO DYNAMICS IN NATURAL AND LIFE SCIENCES

International Journal of Bifurcation and Chaos, 2011
The aim of this article is to review some basic concepts of the geometric theory of dynamical systems and stability. In this context, we also consider the related fundamental notions of broken symmetry, bifurcation and chaos. That of bifurcation is a very sophisticated mathematical concept, which displays a number of local and global behaviors of those
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Dynamic Analysis of Mechanical Systems With Time-Varying Topologies: Part 1 — Dynamic Model and Stability Analysis

16th Design Automation Conference: Volume 2 — Optimal Design and Mechanical Systems Analysis, 1990
Abstract A model is developed for analyzing mechanical systems with a pair of bodies with topological changes in their kinematic constraints. It is built upon the concept of Poincaré map rather than following the traditional methods of differential equations.
openaire   +1 more source