H-infinity Synchronization of Coupled Delay Partial Differential Systems with Hybrid Coupling via Nonsingular Transformation and Pinning Control

摘要

The H synchronization problem of coupled delaypartial differential systems (PDSs) with hybrid coupling isaddressed in this paper. By using the nonsingulartransformation method and pinning control, the coupled PDSsis decoupled to simplify the complex H synchronizationproblem, several H synchronization criteria are obtained.Furthermore, the asymptotical synchronization problem isstudied when the external disturbances disappear. Therelationship between the H synchronization and theasymptotical synchronization is also presented. Finally, anexample of digital simulation elucidates the practicability andvalidity of the theoretical results.