606 research outputs found
Passivity-based output synchronization of dynamical networks with non-identical nodes
Article no. 5717720Output synchronization of dynamical networks with non-identical nodes is studied using the passivity property. A synchronization criterion is developed for networks with general outer coupling topologies which need to be neither symmetric nor have the zero-row-sum property. When the passivity property cannot give synchronization for a single outer coupling topology, the problem of how to achieve synchronization by switching among several outer coupling topologies is studied. Synchronization conditions by switching among these topologies are presented and an output-dependent switching law is designed. In particular, it is shown that synchronizability can be checked by verifying if a certain nonlinear programming problem has no feasible solution or has a negative maximum. ©2010 IEEE.published_or_final_versio
Gradient and Passive Circuit Structure in a Class of Non-linear Dynamics on a Graph
We consider a class of non-linear dynamics on a graph that contains and
generalizes various models from network systems and control and study
convergence to uniform agreement states using gradient methods. In particular,
under the assumption of detailed balance, we provide a method to formulate the
governing ODE system in gradient descent form of sum-separable energy
functions, which thus represent a class of Lyapunov functions; this class
coincides with Csisz\'{a}r's information divergences. Our approach bases on a
transformation of the original problem to a mass-preserving transport problem
and it reflects a little-noticed general structure result for passive network
synthesis obtained by B.D.O. Anderson and P.J. Moylan in 1975. The proposed
gradient formulation extends known gradient results in dynamical systems
obtained recently by M. Erbar and J. Maas in the context of porous medium
equations. Furthermore, we exhibit a novel relationship between inhomogeneous
Markov chains and passive non-linear circuits through gradient systems, and
show that passivity of resistor elements is equivalent to strict convexity of
sum-separable stored energy. Eventually, we discuss our results at the
intersection of Markov chains and network systems under sinusoidal coupling
Incremental-dissipativity-based output synchronization of dynamical networks with switching topology
This paper studies asymptotic output synchronization for a class of dynamical networks with switching topology whose node dynamics are characterized by a quadratic form of incremental-dissipativity. The output synchronization problem of the switched network is first converted into a set stability analysis of a nonlinear dissipative system with a particular selection of input-output pair, which is related to special features of interconnected incremental-dissipative systems. Then, synchronization by designing switching among subnetworks, where none of them is self-synchronizing, is investigated by using the single Lyapunov function method. Algebraic synchronization criteria are established, and the results are applied to investigate synchronization of coupled biochemical oscillators. © 2014 IEEE.published_or_final_versio
Static consensus in passifiable linear networks
Sufficient conditions of consensus (synchronization) in networks described by
digraphs and consisting of identical determenistic SIMO systems are derived.
Identical and nonidentical control gains (positive arc weights) are considered.
Connection between admissible digraphs and nonsmooth hypersurfaces (sufficient
gain boundary) is established. Necessary and sufficient conditions for static
consensus by output feedback in networks consisting of certain class of double
integrators are rediscovered. Scalability for circle digraph in terms of gain
magnitudes is studied. Examples and results of numerical simulations are
presented.Comment: 13 pages, 5 figure
Resilient Learning-Based Control for Synchronization of Passive Multi-Agent Systems under Attack
In this paper, we show synchronization for a group of output passive agents
that communicate with each other according to an underlying communication graph
to achieve a common goal. We propose a distributed event-triggered control
framework that will guarantee synchronization and considerably decrease the
required communication load on the band-limited network. We define a general
Byzantine attack on the event-triggered multi-agent network system and
characterize its negative effects on synchronization. The Byzantine agents are
capable of intelligently falsifying their data and manipulating the underlying
communication graph by altering their respective control feedback weights. We
introduce a decentralized detection framework and analyze its steady-state and
transient performances. We propose a way of identifying individual Byzantine
neighbors and a learning-based method of estimating the attack parameters.
Lastly, we propose learning-based control approaches to mitigate the negative
effects of the adversarial attack
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