Global Exponential Stability of Almost Periodic Solution for A Large Class of Delayed Dynamical Systems
| dc.creator | Lu, Wenlian | |
| dc.creator | Chen, Tianping | |
| dc.date | 2006-10-30 | |
| dc.date.accessioned | 2026-07-07T07:29:37Z | |
| dc.date.available | 2026-07-07T07:29:37Z | |
| dc.description | Research of delayed neural networks with variable self-inhibitions, inter-connection weights, and inputs is an important issue. %In the real world, self-inhibitions, %inter-connection weights, and inputs should vary through time. In In this paper, we discuss a large class of delayed dynamical systems with almost periodic self-inhibitions, inter-connection weights, and inputs. This model is universal and includes delayed systems with time-varying delays, distributed delays as well as combination of both. We prove that under some mild conditions, the system has a unique almost periodic solution, which is globally exponentially stable. We propose a new approach, which is independent of existing theory concerning with existence of almost periodic solution for dynamical systems. | |
| dc.identifier | https://arxiv.org/abs/math/0610920 | |
| dc.identifier | http://arxiv.org/abs/math/0610920 | |
| dc.identifier | Science in China Ser. A Mathematics 2005 Vol. 48 No. 8 1015—1026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118178 | |
| dc.subject | Dynamical Systems | |
| dc.title | Global Exponential Stability of Almost Periodic Solution for A Large Class of Delayed Dynamical Systems | |
| dc.type | text |