Stable-protocol admissible synchronization analysis and design problems for singular complex networks with both connected switching topologies and jointly connected switching topologies are investigated.
It is demonstrated in this paper that the controllability and observability of each individual system and the jointly connected switching topology (including fixed topology as a special case) jointly imply the consensus controllability and observability of the MAS.
Furthermore, stable-protocol admissible synchronizability criteria for connected switching topology cases and jointly connected switching topology cases are proposed, respectively.
We prove that if the network is jointly connected, then under the protocol designed, average-consensus can be asymptotically achieved, and the convergence rate is quantified.
This paper addresses the leader follower consensus for linear and nonlinear multi-agent systems with three-layer network framework and dynamic interaction jointly connected topology.
It is shown that the constrained optimal consensus can be achieved under a uniformly jointly connected communication network with bounded time-varying edge weights.
In this paper, the leaderless consensus problem of multi-agent systems with jointly connected topologies and nonlinear dynamics is considered, in which the nonlinear dynamics are assumed to be non-identical and unknown.
By parameterizations of unknown nonlinear dynamics of all agents, a decentralized adaptive consensus algorithm is proposed in networks with jointly connected topologies by incorporating local consensus errors in addition to relative position feedback.
Distributed adaptive protocols and Lipschitz distributed adaptive protocols are respectively designed for the linear and Lipschitz nonlinear cases, under which leader-following consensus is reached for jointly connected topology.
We prove that if the network is jointly connected, then under the protocol designed, average-consensus can be asymptotically achieved without steady-state error, and the convergence rate is quantified.
Thirdly, a control protocol is designed with the extended LaSalle0s invariance principle developed for switched systems under the jointly connected topology condition to make all the agents reach output consensus when the topology is switching.
