On the Stabilizability and Consensus of Positive Homogeneous Multi-Agent Dynamical Systems

2014/01/31 by Maria Elena Valcher, Pradeep Misra, Pradeep Kumar Mısra · 6 citations
Computer Science · Engineering · #Distributed Control Multi-Agent Systems #Stability and Control of Uncertain Systems #Neural Networks Stability and Synchronization

paper · doi:10.1109/tac.2013.2294621

Abstract

In this note we consider a supervisory control scheme that achieves either asymptotic stability or consensus for a group of homogenous agents described by a positive state-space model. Each agent is modeled by means of the same SISO positive state-space model, and the supervisory controller, representing the information exchange among the agents, is implemented via a static output feedback. Necessary and sufficient conditions for the asymptotic stability, or the consensus of all agents, are derived under the positivity constraint.

Cited by

• Positive Edge-Consensus for Nodal Networks via Output Feedback
• Positive consensus for multi-agent systems with average dwell time switching
• Positive Consensus of Directed Multi-agent Systems using Dynamic Output-feedback Control
• Stabilization Methods for a Multiagent System with Complex Behaviours. [europepmc]
• Guaranteed cost positive consensus for multi-agent systems with multiple time-varying delays and MDADT switching. [europepmc]
• Multi-adaptive event-triggered consensus of positive multi-agent systems using pinning strategy. [europepmc]

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