Xie Guangming

Collective Behaviors and Self-organizing Cooperation

We investigate evolutionary games on complex networks. First, we investigate the evolutionary prisoners dilemma game on scale-free networks with community structures. Then we explore the heterogeneitys role in the evolution of cooperation on a variant of Newman-Watts small-world networks. We also study the influence of different initial conditions on the evolution of cooperation corresponding to different initial configurations for cooperators and defectors distributing among the vertices of networks. Moreover, we investigate Snowdrift game on an empirical social network. Furthermore, we study the entangled dynamics of the evolution of network structure and strategy. Finally, we present the unresolved open problems, future research directions, and possible application areas of evolutionary games on complex networks.

Controllability of a class of hybrid dynamic systems (II)—Single time-delay case

The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the second part. The definition and determination of controllability of switched linear systems with single time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the oneperiodic, multiple-periodic controllability of periodic-type systems and controllability of periodic systems are presented, respectively.

Controllability of a class of hybrid dynamic systems (I)—Basic properties and preliminary results

The controllability for switched linear system with time-delay in controls was first investigated. The whole work contains three parts. This is the first part, including problem formulation and some preliminaries. Firstly, the mathematical model of switched linear systems with time-delay in control functions was presented. Secondly, the concept of column space, cyclic invariant subspace and generalized cyclic invariant subspace were introduced. And some basic properties, such as separation lemma, were presented. Finally, a basic lemma was given to reveal the relation between the solution set of a centain integral equations and the generalized cyclic invariant subspace. This lemma will play an important role in the determination of controllability. All these definitions and lemmas are necessary research tools for controllability analysis.

Swarm Dynamics and Coordinated Control

Swarming behavior is ubiquitous in nature and society. It is of both theoretical and practical importance to investigate the underlying principles and mechanism of coordination and cooperation emerging in swarms. This paper discusses the basic issues in this direction in the field of systems and control. We review some swam models commonly studied in the literature, analyze the roles and effects of connection topology on swarm dynamics, as well as the effects of variable topologies, communication delays, and exogenous influences etc. We also give some numerical simulation results to demonstrate complex aggregation-oscillation behavior of swarms in the cases of asymmetric coupling and delayed communication.

Controllability of a class of hybrid dynamic systems (III)—Multiple time-delay case

The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the third part. The definition and determination of controllability of switched linear systems with multiple time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the one-periodic, multiple-periodic controllability of periodic-type systems and controllability of aperiodic systems are presented, respectively. Finally, the case of distinct delays is discussed, it is shown that the controllability is independent of the size of delays.

Design of efficiency function and multi-task allocation: emphasizing on water polo competition

This paper focuses on an ACO (Ant Colony Optimization)-based task allocation problem in multi-robot systems in order to optimize the global efficiency of robots and emphasizes the application to the water polo collection competition which is a typical item in the robotic fish competition. Firstly, we introduce the water polo collection competition including its characteristic and design kinds of efficiency functions for different robots according to their strategies. Secondly, combined with the research topic, an optimal allocation approach is proposed based on ACO algorithm after a definition of the optimized task allocation scheme. Moreover, the 2D simulation platform and the experimental platform are introduced respectively. And experiments on both platforms verify the effectiveness of our approach. At last, we conclude our researches and outline some future work.