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関連する概念動画

BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

511
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....
511
Linear time-invariant Systems01:23

Linear time-invariant Systems

403
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
403
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

882
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
882
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

1.1K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
1.1K
State Space Representation01:27

State Space Representation

283
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
283
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

124
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
124

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関連する実験動画

Updated: Sep 9, 2025

Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions
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Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions

Published on: January 30, 2018

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ランダムに発生するFDIAを持つ2Dマルコフジャンプシステムのプロトコルベースの状態推定

Yucheng Xu, Jun Cheng, Bin Zhang

    IEEE transactions on cybernetics
    |September 3, 2025
    PubMed
    まとめ

    この研究は,偽データインジェクション攻撃に直面している2Dマルコフジャンプシステムの状態推定のための新しい方法を導入します. このアプローチにより,システムの堅牢性と適応性が向上し,信頼性の高い性能が得られます.

    科学分野:

    • 制御システム工学
    • 信号処理
    • システムにおけるサイバーセキュリティ

    背景:

    • 2Dマルコフジャンプシステムでは,状態の推定が不可欠です.
    • ランダムに発生する偽データインジェクション攻撃 (FDIA) は,システムの完全性と性能に重大な脅威をもたらす.
    • 既存の方法は,ダイナミックなネットワーク条件と洗練された攻撃に対する強度が不足している可能性があります.

    研究 の 目的:

    • FDIAの下で2Dマルコフジャンプシステムのための堅固な状態推定方法を開発する.
    • 不確実なネットワーク環境におけるシステムの適応性と性能を向上させる.
    • 悪意のあるデータ注入にもかかわらず,安定性とノイズ減弱を保証します.

    主な方法:

    • サブインターバルの値と確率モデルを組み合わせた新しい確率的多インターバルイベントトリガーメカニズム (PMIETP) を提案した.
    • 異常データを処理するための適応的値を持つ時間変動飽和メカニズム (TVSM) ベースの推定器を開発しました.
    • 設計パラメータを最適化し,線形行列不等式 (LMI) 条件における保守性を減らすために,粒子群最適化 (PSO) を利用した.
    • 平均正方形のアシンプトティック安定性とノイズ減弱のためのリヤプノフの安定性理論に基づいた十分な基準を導出しました.

    主要な成果:

    さらに関連する動画

    Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
    10:20

    Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

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    Structure-Based Simulation and Sampling of Transcription Factor Protein Movements along DNA from Atomic-Scale Stepping to Coarse-Grained Diffusion
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    Structure-Based Simulation and Sampling of Transcription Factor Protein Movements along DNA from Atomic-Scale Stepping to Coarse-Grained Diffusion

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    関連する実験動画

    Last Updated: Sep 9, 2025

    Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions
    11:22

    Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions

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    Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules
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    Single-Molecule Tracking Microscopy - A Tool for Determining the Diffusive States of Cytosolic Molecules

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    Structure-Based Simulation and Sampling of Transcription Factor Protein Movements along DNA from Atomic-Scale Stepping to Coarse-Grained Diffusion
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    Structure-Based Simulation and Sampling of Transcription Factor Protein Movements along DNA from Atomic-Scale Stepping to Coarse-Grained Diffusion

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    • TVSMと統合されたPMIETPは,FDIAの影響を効果的に軽減します.
    • このアプローチは,さまざまなネットワーク条件に適応し,推定の堅実性を向上させています.
    • 数学的シミュレーションは,提案された方法の有効性と既存の技術よりも優れていることを確認します.

    結論:

    • 新しいPMIETPとTVSMベースの状態推定アプローチは,FDIAの下の2Dマルコフジャンプシステムに堅固な解決策を提供します.
    • この方法は,システムの安定性と性能の保証を保証し,実用的なアプリケーションで重要な利点を提供します.
    • この研究は,制御システムのセキュリティを強化するための適応メカニズムと最適化アルゴリズムの可能性を強調しています.