Synchronization of Multi-Agent Systems in the Presence of Disturbances and Delays

This monograph explores the synchronization of large-scale, multi-agent dynamical systems in the presence of disturbances, delays, and time-varying networks.  Drawing upon their extensive work in this area, the authors provide a thorough treatment of agents with higher-order dynamics, different classes of models for agents, and the underlying networks representing the agents’ actions.  The high technical level of their presentation and their rigorous mathematical approach make this a timely and valuable resource that will fill a gap in the existing literature.  Divided into two sections, the first part of the book focuses on state synchronization of homogeneous multi-agent systems. The authors consider state synchronization by determining control strategies for both continuous- and discrete-time systems that achieve state synchronization under both full- and partial-state coupling. The chapters that follow examine multi-agent systems with both linear and nonlinear time-varying agents, input-delays for continuous- and discrete-time systems, and communication delays for continuous-time systems. The second part of the book is dedicated to regulated output synchronization of heterogeneous multi-agent systems with linear and nonlinear agents. Both sections of the book include performance considerations in H2- and H-infinity norms in the presence of external disturbances. Research on synchronization of multi-agent systems has been growing in popularity and is highly interdisciplinary, with applications to automobile systems, aerospace systems, multiple-satellite GPS and high-resolution satellite imagery, aircraft formations, highway traffic platooning, industrial process control with multiple processes, and more. Synchronization of Multi-Agent Systems in the Presence of Disturbances and Delays will therefore be of interest to upper-level graduate students, researchers, and engineers in industry working on interconnected dynamical systems. Notation and preliminaries.- Part I Synchronization of homogeneous systems.- Synchronization of continuous-time linear MAS.- Synchronization of discrete-time linear MAS.- Synchronization of linear MAS subject to actuator saturation.- Synchronization of continuous-time MAS with nonlinear time-varying agents.- Synchronization of continuous-time linear MAS with unknown input delay.- Synchronization of discrete-time linear MAS with unknown input delay.- Synchronization of continuous-time linear MAS with unknown communication delay.- Synchronization of discrete-time linear MAS with unknown communication delay.- Synchronization of linear MAS subject to actuator saturation and unknown input delay.- Synchronization of continuous-time linear time-varying MAS.- Synchronization of continuous-time nonlinear time-varying MAS.- H1 and H2 almost synchronization of continuous-time linear MAS.- Part II Synchronization of heterogeneous systems.- Necessary conditions for synchronization of heterogeneous MAS.- Regulated output synchronization of heterogeneous continuous-time linear MAS.- Regulated output synchronization of heterogeneous continuous-time nonlinear MAS.- Regulated output synchronization of heterogeneous continuous-time linear time-varying MAS.- Exact regulated output synchronization for heterogeneous continuous-time MAS in the presence of disturbances and measurement noise with known frequencies.- H1 almost output synchronization for heterogeneous continuous-time MAS.- H2 almost regulated output synchronization for heterogeneous continuous-time MAS.- Almost output synchronization of heterogeneous continuous-time linear MAS with passive agents.- Synchronization of heterogeneous continuous-/and discrete-time linear MAS with introspective agents.- A special coordinate basis (SCB) of linear multivariable systems.- Squaring down of general MIMO systems to invertible uniform rank systems via pre- and/or post-compensators.- Index.- References.