Hybrid stabilization and synchronization of nonlinear systems with unbounded delays

作者：Liu Xinzhi; Stechlinski Peter^*

来源：Applied Mathematics and Computation, 2016, 280: 140-161.

DOI：10.1016/j.amc.2016.01.023

• Hybrid systems
• Switched systems
• lime delays
• Stability
• Synchronization
• State-dependent switching

The stabilization of nonlinear systems with bounded and unbounded time-delays via hybrid control is studied. We investigate and identify switching rules for which stabilization can be verified n priori. When this approach is inadequate, stabilizing state-dependent switching rules are constructed. This method is based on partitioning the state-space into switching regions. Unwanted physical behavior, such as chattering and Zeno behavior, is avoided. Sufficient conditions are established using Razumikhin-like theorems. The theoretical results provide insight into how hybrid control strategies can be constructed to synchronize a class of nonlinear systems with unbounded delay. The findings are illustrated through numerical simulations.

• 出版日期2016-4-20