This paper is concerned with the constrained consensuses problem for a group of agents in disconnected topologies.By dividing the communication topology into a combination of directed trees,some necessary and sufficient conditions are derived for all the agents to asymptotically reach a single consensus and multiple consensuses,respectively.The obtained results indicate that arbitrary anticipant consensuses can be achieved,if additional constrained controllers are added to those agents with specific indexes.Some illustrative examples are provided to demonstrate the effectiveness of the proposed theoretical results.
This paper is concerned with the global exponential stability analysis problem for a class of neutral bidirectional associative memory (BAM) neural networks with time-varying delays and stochastic disturbances. The stochastic disturbances are described by state-dependent stochastic processes. By utilizing an appropriately constructed LyapunovKrasovskii functional (LKF) and some stochastic analysis approaches, novel delay-dependent conditions are established in terms of linear matrix inequalities (LMIs), which can be easily solved by existing convex optimization techniques. Furthermore, the exponential convergence rate can be estimated based on the obtained results. An illustrate example is given to demonstrate the effectiveness of the proposed methods.
