时间尺度类型神经网络的自适应驱动-响应同步,具有无限的时间变化延迟
IEEE transactions on neural networks and learning systems
|November 22, 2023
概括
这项研究引入了适应性控制,用于同步两个时间尺度类型的神经网络 (TNNs),具有复杂,无限的延迟. 开发的方法确保了全球非对称同步,为先进的神经网络系统提供了强大的解决方案.
科学领域:
- 控制理论 控制理论
- 神经网络的神经网络的神经网络
- 非线性动力学是一种非线性动力学.
背景情况:
- 适应性驱动-响应同步 (DRS) 对连续时间延迟神经网络 (NN) 进行了充分研究.
- 开发严格的自适应同步控制两个时间尺度类型的NNs (TNNs) 无限延迟仍然是一个公开的挑战.
研究的目的:
- 设计适应性控制方案,以实现TNN的全球非对称同步,并具有无限的时间变化延迟.
- 通过使用新的数学技术,严格证明这些方案的有效性.
主要方法:
- 时间尺度类型的巴巴拉特定理和新的时间尺度类型的不等式技术的发展.
- 应用时间尺度类型的微积分来分析具有无限延迟的非线性系统.
- 根据代数和矩阵不等式标准设计适应性控制规律.
主要成果:
- 全球TNN的非对称同步甚至可以在无限和不可差异的时间变化延迟的情况下实现.
- 拟议的自适应控制方案通过在TNN上的数值模拟和时间尺度类型的混沌Ikeda-like振荡器来验证.
- 控制策略适用于各种神经网络类型,包括连续时间,离散时间和混合系统.
结论:
- 该研究成功地解决了无限延迟的TNN适应同步的开放问题.
- 提出的方法为分析和控制时间尺度类型的非线性系统提供了实用工具.
- 这些发现有助于改进自适应控制理论及其在复杂神经网络架构中的应用.
相关概念视频
Time-Domain Interpretation of PD Control
119
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...
119
Neural Circuits
1.3K
Neural circuits and neuronal pools are two of the main structures found in the nervous system. Neural circuits are networks of neurons that work together to carry out a specific task or process. They consist of interconnected neurons and glial cells, which provide structural and metabolic support.
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
1.3K
Feedback control systems
317
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
317
Long-term Potentiation
55.3K
Long-term potentiation, or LTP, is one of the ways by which synaptic plasticity—changes in the strength of chemical synapses—can occur in the brain. LTP is the process of synaptic strengthening that occurs over time between pre- and postsynaptic neuronal connections. The synaptic strengthening of LTP works in opposition to the synaptic weakening of long-term depression (LTD) and together are the main mechanisms that underlie learning and memory.
55.3K
Classification of Systems-II
149
Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
149


