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.

Comprehensively explores the synchronization of both homogeneous & heterogeneous multi-agent systems Examines a broad class of multi-agent systems using techniques such as robust control Combines classical & modern control problems & results to address highly advanced topics in multi-agent systems

Résumé
"This book presents a tangible overview of the theory and application of synchronization in a multi-agent system with an eye on disturbance and time delays. It is self-contained with preliminaries, theorem proofs and references. ... This book is accessible to anyone studying systems and control theory with an undergraduate level of mathematics." (Yilun Shang, Mathematical Reviews, October, 2022)

Contenu
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.