A Hybrid Consensus Protocol for Pointwise Exponential Stability with Intermittent Information

Phillips, Sean; Li, Yuchun; Sanfelice, Ricardo G.

doi:10.1016/j.ifacol.2016.10.154

Cited by 11 publications

(5 citation statements)

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“…On the contrary, their inclusion is natural in the hybrid framework, which thus opens the way to wider opportunities for modeling opinion dynamics and similar consensus-seeking systems. As a matter of fact, some other researchers are starting to apply the hybrid framework [17] to other issues in multi-agent systems: for instance, consensus problems have been addressed in [2,27,26].…”

Section: Introductionmentioning

confidence: 99%

Hybrid models of opinion dynamics with opinion-dependent connectivity

2019

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This paper is a first attempt at using tools from the theory of hybrid systems to study opinion dynamics on networks with opinion-dependent connectivity. According to the hybrid framework, our dynamics are represented by the combination of continuous flow dynamics and discrete jump dynamics. The flow embodies the attractive forces between the agents and is defined by an ordinary differential equation whose right-hand side is a Laplacian, whereas the jumps describe the activation or deactivation of the pairwise interactions between agents. We first reformulate the classical Hegselmann-Krause model in this framework and then define a novel interaction model, which has the property of being scale-invariant. We study the stability and convergence properties of both models by a Lyapunov analysis, showing convergence and clusterization of opinions.

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Section: Introductionmentioning

confidence: 99%

Hybrid models of opinion dynamics with opinion-dependent connectivity

2019

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“…Fig. 1: The z, τ components of a solution φ = (φ z , φ η , φ τ ) to a hybrid system with with agent dynamics (10), communication governed by local timers τ i with dynamics in (11), and distributed controller (12) and (13).…”

Section: A Distributed Consensus Of Continuous Agentsmentioning

confidence: 99%

“…For T 2 = 0.8, and parameters γ = −0.4, h = −0.4, and σ = 2, we find that the matrices P = 5.06I and Q = 1.58I satisfy condition (17) in Theorem 4.1. Figure 1 shows a solution φ to a hybrid system with agent dynamics (10), communication governed by local timers τ i with dynamics in (11), and distributed controller (12) and (13) from initial conditions φ z (0, 0) = (−5, −2, 5, 0), φ η (0, 0) = (−1, 1, 0, −10), and φ τ (0, 0) = (0.4, 1, 0.1, 0.25). 3 3 Code at https://github.com/HybridSystemsLab/ConsAsyncTimes B. Synchronization of Impulse-coupled Oscillators Consider a hybrid system model of impulse-coupled oscillators 4 .…”

Section: Remark 42mentioning

confidence: 99%

On asymptotic synchronization of interconnected hybrid systems with applications

Phillips

Sanfelice

2017

2017 American Control Conference (ACC)

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In this paper, we consider the synchronization of the states of a multiagent network system, where each agent exhibits hybrid behavior. Specifically, the state of each agent may evolve continuously according to a differential equation, and, at times, jump discretely according to a difference equation. We develop a notion of asymptotic synchronization for part of the state of the system. Our definition of asymptotic synchronization imposes both Lyapunov stability and attractivity on the difference between the agents' states. We recast synchronization as a set stabilization problem, for which tools for the study of asymptotic stability of sets for hybrid systems are suitable. As applications, we introduce two synchronization problems for hybrid systems: the interconnection of continuous-time systems connected over an intermittent communication network and the synchronization of interconnected impulse-coupled oscillators.

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“…It should be noted that these works only consider the observer design, the convergence is obtained by assuming that the input belongs to a bounded set and then cannot be applied directly to the problem considered here. This idea has already been exploited in [21,22] for linear systems, following a hybrid approach, where sucient conditions for convergence are obtained, based on LMIs. A high-gain approach has been followed in [19,1] for the leaderless and leader-following consensus of MAS with double integrator dynamics.…”

Section: Introductionmentioning

confidence: 99%

Leader-following consensus for multi-agent systems with nonlinear dynamics subject to additive bounded disturbances and asynchronously sampled outputs

et al. 2020

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This paper is concerned with the leader-following consensus problem for a class of Lipschitz nonlinear multi-agent systems with uncertain dynamics, where each agent only transmits its noisy output, at discrete instants and independently from its neighbors. The proposed consensus protocol is based on a continuous-discrete time observer, which provides a continuous time estimation of the state of the neighbors from their discrete-time output measurements, together with a continuous control law. The stability of the multi-agent system is analyzed with a Lyapunov approach and the exponential practical convergence is ensured provided that the tuning parameters and the maximum allowable sampling period satisfy some inequalities. The proposed protocol is simulated on a multi-agent system whose dynamics are ruled by a Chua's oscillator.

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A Hybrid Consensus Protocol for Pointwise Exponential Stability with Intermittent Information

Cited by 11 publications

References 11 publications

Hybrid models of opinion dynamics with opinion-dependent connectivity

Hybrid models of opinion dynamics with opinion-dependent connectivity

On asymptotic synchronization of interconnected hybrid systems with applications

Leader-following consensus for multi-agent systems with nonlinear dynamics subject to additive bounded disturbances and asynchronously sampled outputs

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