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Deep Learning for Dynamical Systems: Modeling, Prediction, and Control
Deep Learning for Dynamical Systems: Modeling, Prediction, and Control
Detailed Information
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260209102914
- ISBN
- 9798265402097
- DDC
- 536.7
- 서명/저자
- Deep Learning for Dynamical Systems: Modeling, Prediction, and Control
- 발행사항
- [Sl] : Georgia Institute of Technology, 2023
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2023
- 형태사항
- 207 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-05, Section: A.
- 주기사항
- Advisor: Mukhopadhyay, Saibal.
- 학위논문주기
- Thesis (Ph.D.)--Georgia Institute of Technology, 2023.
- 초록/해제
- 요약Modeling and control of dynamical systems are fundamental problems across several scientific and engineering disciplines. Traditionally, dynamical systems or processes are modeled by a set of differential equations constructed based on physical principles and extensive experiments. However, in many practical scenarios, analytical modeling is very challenging and/or can only describe the system behavior partially. Furthermore, real-world dynamical processes are inherently nonlinear which makes the downstream task of control notoriously difficult. In recent years, the success of deep learning in various complex tasks has motivated many researchers to exploit deep learning for automatic modeling and control synthesis for dynamical systems from data. However, deep learning methods have their own drawbacks including high sample complexity, requirements of regular data structure, difficulty in long-term prediction, lack of generalizability outside of training scenarios, etc.This thesis introduces a novel framework that leverages deep learning within the traditional identify-then-design paradigm to develop control policies for unknown or partially known dynamical systems, addressing the aforementioned challenges. The model learning process incorporates existing scientific knowledge and numerical techniques to facilitate learning from limited and partial observations as well as to improve long-term prediction accuracy and generalizability under system parameter changes. Given an identified or learned model, the control learning process leverages a self-supervised formulation guided by a Lyapunov-constrained deep neural network to ensure stability and improve sample efficiency. The proposed framework is evaluated in prediction and control tasks for several dynamical systems including multi-agent dynamics and spatiotemporal dynamics.
- 일반주제명
- Heat
- 일반주제명
- Deep learning
- 일반주제명
- Dynamical systems
- 일반주제명
- Visualization
- 일반주제명
- Distance learning
- 일반주제명
- Neural networks
- 일반주제명
- Educational technology
- 일반주제명
- Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-05A.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260209102914
■006m o d
■007cr#unu||||||||
■020 ▼a9798265402097
■035 ▼a(MiAaPQ)AAI32316206
■035 ▼a(MiAaPQ)GeorgiaTech72763
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a536.7
■1001 ▼aSaha, Priyabrata.
■24510▼aDeep Learning for Dynamical Systems: Modeling, Prediction, and Control
■260 ▼a[Sl]▼bGeorgia Institute of Technology▼c2023
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2023
■300 ▼a207 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-05, Section: A.
■500 ▼aAdvisor: Mukhopadhyay, Saibal.
■5021 ▼aThesis (Ph.D.)--Georgia Institute of Technology, 2023.
■520 ▼aModeling and control of dynamical systems are fundamental problems across several scientific and engineering disciplines. Traditionally, dynamical systems or processes are modeled by a set of differential equations constructed based on physical principles and extensive experiments. However, in many practical scenarios, analytical modeling is very challenging and/or can only describe the system behavior partially. Furthermore, real-world dynamical processes are inherently nonlinear which makes the downstream task of control notoriously difficult. In recent years, the success of deep learning in various complex tasks has motivated many researchers to exploit deep learning for automatic modeling and control synthesis for dynamical systems from data. However, deep learning methods have their own drawbacks including high sample complexity, requirements of regular data structure, difficulty in long-term prediction, lack of generalizability outside of training scenarios, etc.This thesis introduces a novel framework that leverages deep learning within the traditional identify-then-design paradigm to develop control policies for unknown or partially known dynamical systems, addressing the aforementioned challenges. The model learning process incorporates existing scientific knowledge and numerical techniques to facilitate learning from limited and partial observations as well as to improve long-term prediction accuracy and generalizability under system parameter changes. Given an identified or learned model, the control learning process leverages a self-supervised formulation guided by a Lyapunov-constrained deep neural network to ensure stability and improve sample efficiency. The proposed framework is evaluated in prediction and control tasks for several dynamical systems including multi-agent dynamics and spatiotemporal dynamics.
■590 ▼aSchool code: 0078.
■650 4▼aHeat
■650 4▼aDeep learning
■650 4▼aDynamical systems
■650 4▼aVisualization
■650 4▼aDistance learning
■650 4▼aNeural networks
■650 4▼aEducational technology
■650 4▼aMathematics
■690 ▼a0800
■690 ▼a0710
■690 ▼a0405
■71020▼aGeorgia Institute of Technology.
■7730 ▼tDissertations Abstracts International▼g87-05A.
■790 ▼a0078
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17366015▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
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