平均延迟冲动控制用于同步不确定的混乱神经网络,具有可变延迟冲动
1Huangshi Key Laboratory of Metaverse and Virtual Simulation, School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China.
Mathematical biosciences and engineering : MBE
|July 18, 2025
概括
这项研究表明,延迟的冲动控制可以同步不确定的混乱神经网络 (CNN). 通过使用平均冲动延迟和间隔,研究人员实现了灵活的同步标准,提高了适用性.
科学领域:
- 神经科学是一个神经科学.
- 控制理论 控制理论
- 非线性动力学是一种非线性动力学.
背景情况:
- 混乱神经网络 (CNN) 呈现出复杂的动态.
- 同步对于CNN来说至关重要,但由于参数不确定性和时间延迟而具有挑战性.
- 现有的控制方法往往具有限制性的延迟条件.
研究的目的:
- 通过延迟冲动控制策略,研究不确定的混乱神经网络 (CNN) 的同步.
- 制定灵活的同步标准,以适应参数不确定性和可变冲动延迟.
- 为了证明延迟冲动在实现同步方面的促进作用.
主要方法:
- 利用平均冲动延迟 (AID) 和平均冲动间隔 (AII) 的概念来整体管理延迟.
- 根据边界参数不确定性下的线性矩阵不等式 (LMIs) 推导的同步标准.
- 放松了冲动控制输入延迟的约束,以获得更广泛的适用性.
主要成果:
- 对于具有灵活延迟条件的不确定的CNN建立了同步标准.
- 显示延迟的冲动可以有效地促进CNN的同步.
- 通过数值示例验证了理论发现.
结论:
- 建议的延迟冲动控制方法对于同步不确定的CNN是有效的.
- 使用AID和AII为处理延误提供了一个更普遍的框架.
- 宽松的延迟约束提高了同步方法的实际适用性.
相关概念视频
Propagation of Action Potentials
6.9K
The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
6.9K
Time-Domain Interpretation of PD Control
181
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Consider the example of control of motor torque. Initially, a positive...
181
Phase-lead and Phase-lag Controllers
227
Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass...
227
Time and frequency -Domain Interpretation of Phase-lag Control
149
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
149
Impulse Response
351
The impulse response is the system's reaction to an input impulse. In an RC circuit, the voltage source is the input, and the capacitor's voltage is the output. The system's state and output response before and after input excitation are distinctly defined.
Kirchhoff's law forms an input signal equation, with the capacitor's current and voltage providing the output. Substituting the current and dividing by RC yields a differential equation. The output for an impulse input is...
Kirchhoff's law forms an input signal equation, with the capacitor's current and voltage providing the output. Substituting the current and dividing by RC yields a differential equation. The output for an impulse input is...
351
First Order Systems
165
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
165


