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相关概念视频

Classification of Systems-II01:31

Classification of Systems-II

136
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,
136
Second Order systems II01:18

Second Order systems II

90
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
90
Feedback control systems01:26

Feedback control systems

291
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...
291
Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

98
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
98
Signal and System01:26

Signal and System

626
A signal x(t) is a set of data or a time function representing a variable of interest. Signals typically convey information about a phenomenon, such as atmospheric temperature, humidity, human voice, television images, a dog's bark, or birdsongs. More generally, a signal can be a function of more than one independent variable. For instance, images depend on horizontal and vertical positions and can be regarded as two-dimensional signals. However, this text will focus on one-dimensional...
626
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

350
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
350

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在由奥恩斯坦-乌伦贝克噪声驱动的系统中,多式联通性.

Bartłomiej Dybiec1

  • 1Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348 Kraków, Poland.

Chaos (Woodbury, N.Y.)
|November 1, 2024
PubMed
概括

非线性系统中的噪音可以改变行为. 这项研究表明,奥恩斯坦-乌伦贝克噪声如何在某些电位上产生两个稳定的状态 (双模态),特别是当电位指数超过2时.

科学领域:

  • 非线性动力学是一种非线性动力学.
  • 统计物理学的统计物理.
  • 复杂的系统复杂的系统.

背景情况:

  • 噪音对非线性动态系统有很大的影响.
  • 形式的单井潜力 x n 是各种物理现象的建模的基础.
  • 了解噪声诱导的转换对于描述系统行为至关重要.

研究的目的:

  • 调查奥恩斯坦-乌伦贝克噪声在静态,单井,电力定律潜能中诱导双模式的条件.
  • 分析从单模向双模静止状态的过渡,作为潜在指数 (n) 的函数.
  • 探索一个和潜能加值对系统动态的影响.

主要方法:

  • 噪音扰乱动态系统的数值模拟.
  • 使用统一彩色噪声近似的分析估计.
  • 对潜在景观和静态状态分布的分析.

主要成果:

  • 确定了双模式出现的关键指数值 (n>2).
  • 证明Ornstein-Uhlenbeck噪声可以驱动系统从单模态到双模态状态.
  • 展示了和潜在添加物的建设性或破坏性作用.

结论:

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  • 动力定律潜力的指数是决定噪声诱导的双模式的一个关键因素.
  • 统一的彩色噪声近似为系统行为提供可靠的估计.
  • 电位可以稳定或破坏系统的稳定,调节噪声效应.