偶尔间歇的量子化控制为基础的指数同步四次数值的惯性神经网络
Jingnan Fei1, Sijie Ren1, Caicai Zheng1
1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China.
概括
本研究探讨了使用非周期间歇量化控制的四次数值惯性神经网络中的指数级同步. 这些发现为复杂的网络动态和有效的控制策略提供了洞察力.
科学领域:
- 复杂的系统复杂的系统.
- 控制理论 控制理论
- 人工神经网络的人工神经网络
背景情况:
- 惯性神经网络 (INN) 由于增加了惯性项,表现出复杂的动态,与传统模型不同.
- 与连续控制相比,定期间歇的量子化控制在降低通信负载和控制成本方面具有优势.
研究的目的:
- 研究四次数值惯性神经网络 (QV-INNs) 的指数同步.
- 在这些复杂的网络中应用一种新的周期性间歇量子化控制策略.
主要方法:
- 开发一个紧的四次数值的周期间歇量子化控制协议.
- 使用矩阵不等式制定简洁的标准.
- 构建一个Lyapunov函数和应用直接分析方法.
主要成果:
- 拟议的控制协议简化了QV-INNs的理论导数.
- 成功地获得了实现指数级同步的简洁标准.
- 方法的有效性通过数值示例来验证.
结论:
- 该研究成功地证明了在指定控制下QV-INNs的指数级同步.
- 开发的标准和控制协议是有效的,并简化了分析.
- 这项工作有助于理解和控制复杂的神经网络系统.
相关概念视频
One-Degree-of-Freedom System
473
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
473
Gyroscope: Precession
4.0K
Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a vertical angle and is not spinning, it will fall over due to the force of gravity producing a torque acting on its center of mass. However, if the top is spinning on its axis, it precesses about the vertical direction, rather than topple over due to this torque. Precessional motion is a combination of a steady circular motion of the axis and the...
4.0K
Sequence Networks of Rotating Machines
98
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
98
Muscle Stimulation Frequency
2.1K
The contraction strength of muscles is regulated by motor neurons, which modulate the frequency of action potentials dispatched to the motor units based on the body's requirements. This process of varying the muscle stimulation frequency allows muscles to contract with a force that is precisely tailored to the needs of the moment, whether lifting a feather or a heavy box.
Wave summation
At low firing rates, motor neurons induce individual twitch contractions in muscle fibers. These twitches...
Wave summation
At low firing rates, motor neurons induce individual twitch contractions in muscle fibers. These twitches...
2.1K
Rotation with Constant Angular Acceleration - I
6.7K
If angular acceleration is constant, then we can simplify equations of rotational kinematics, similar to the equations of linear kinematics. This simplified set of equations can be used to describe many applications in physics and engineering where the angular acceleration of a system is constant.
Using our intuition, we can begin to see how rotational quantities such as angular displacement, angular velocity, angular acceleration, and time are related to one another. For example, if a flywheel...
Using our intuition, we can begin to see how rotational quantities such as angular displacement, angular velocity, angular acceleration, and time are related to one another. For example, if a flywheel...
6.7K
Linear Momentum in Control Volume
1.0K
Newton's second law is applied to obtain the linear momentum in a control volume in a fluid system. According to this law, the rate of change of linear momentum is equal to the sum of external forces acting on the system. When a control volume matches the fluid system at a specific moment, the forces acting on both are identical. Reynolds transport theorem helps explain this by breaking down the system's linear momentum into two components: the rate of change of linear momentum within...
1.0K


