Lyapunov関数による制御による干渉入力と無干渉のニューラルネットワークの同期
Yuting Cao1, Linhao Zhao2, Shiping Wen2
1Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, 518055, Guang dong, China.
まとめ
この研究は,ニューラルネットワークの同期のための制御ライアプノフ関数 (CLF) 方法を導入します. 平方プログラムベースのCLF (QP-CLF) は,干渉でもドライブ応答同期と入力状態安定性 (ISS) を保証します.
科学分野:
- 制御理論
- 人工ニューラルネットワーク
- システムエンジニアリング
背景:
- ニューラルネットワークは現代のコンピューティングに不可欠ですが 強力な制御戦略が必要です
- 特に外部からの混乱や不確実性がある場合,同期と安定は重要な課題です.
研究 の 目的:
- 神経ネットワークにおける駆動応答同期を実現するための制御方法を開発し,検証する.
- 乱れがある状態における閉ループシステムの入力状態安定性 (ISS) を確保する.
主な方法:
- 平方プログラムベースの制御ライアプノフ関数 (QP-CLF) を使用した指数関数コントローラーの設計.
- 安定性を高めるため,強固なQP-CLFアプローチを使用する堅固なコントローラの提案.
- 様々な条件下での性能を示す2つの数値的な例による検証
主要な成果:
- QP-CLFメソッドは,ニューラルネットワークにおけるドライブ-レスポンス同期を効果的に達成します.
- 頑丈な QP-CLF コントローラーは,障害や不確実性にもかかわらず,入力状態の安定性 (ISS) を確実にします.
- 数値的な例は,両方の提案された制御戦略の実践的適用性と有効性を確認します.
結論:
- 提案されたQP-CLFと堅固なQP-CLF方法は,ニューラルネットワーク制御のための効果的な解決策を提供します.
- これらの方法は,複雑な環境で安定した同期ニューラルネットワークシステムを設計するための基礎を提供します.
- この研究は,信頼性の高いニューラルネットワークの動作のための堅固な制御の重要性を強調しています.
関連する概念動画
01:10Control Systems
1.4K
Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
At the heart...
At the heart...
1.4K
01:17Open and closed-loop control systems
993
Control systems are foundational elements in automation and engineering. They are broadly categorized into open-loop and closed-loop systems. These classifications hinge on the presence or absence of feedback mechanisms, significantly influencing the system's performance, complexity, and application.
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
993
01:26Feedback control systems
419
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...
419
01:21Transfer Function in Control Systems
837
The transfer function is a fundamental concept in the analysis and design of linear time-invariant (LTI) systems. It offers a concise way to understand how a system responds to different inputs in the frequency domain. It serves as a bridge between the time-domain differential equations that describe system dynamics and the frequency-domain representation that facilitates easier manipulation and analysis.
To derive the transfer function, consider a general nth-order linear time-invariant...
To derive the transfer function, consider a general nth-order linear time-invariant...
837
01:26Linear Approximation in Frequency Domain
131
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
131
01:23Linear time-invariant Systems
407
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...
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...
407