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High Dimensional Reachability Analys...
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University of California, Berkeley.
High Dimensional Reachability Analysis : = Addressing the Curse of Dimensionality in Formal Verification.
Record Type:
Language materials, manuscript : Monograph/item
Title/Author:
High Dimensional Reachability Analysis :/
Reminder of title:
Addressing the Curse of Dimensionality in Formal Verification.
Author:
Chen, Mo.
Description:
1 online resource (167 pages)
Notes:
Source: Dissertation Abstracts International, Volume: 79-05(E), Section: B.
Contained By:
Dissertation Abstracts International79-05B(E).
Subject:
Artificial intelligence. -
Online resource:
click for full text (PQDT)
ISBN:
9780355576726
High Dimensional Reachability Analysis : = Addressing the Curse of Dimensionality in Formal Verification.
Chen, Mo.
High Dimensional Reachability Analysis :
Addressing the Curse of Dimensionality in Formal Verification. - 1 online resource (167 pages)
Source: Dissertation Abstracts International, Volume: 79-05(E), Section: B.
Thesis (Ph.D.)--University of California, Berkeley, 2017.
Includes bibliographical references
Automation is becoming pervasive in everyday life, and many automated systems, such as unmanned aerial systems, autonomous cars, and many types of robots, are complex and safety-critical. Formal verification tools are essential for providing performance and safety guarantees for these systems. In particular, reachability analysis has previously been successfully applied to small scale control systems with general nonlinear dynamics under the influence of disturbances. Its exponentially scaling computational complexity, however, makes analyzing more complex, large scale systems intractable. Alleviating computation burden is in general a primary challenge in formal verification.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9780355576726Subjects--Topical Terms:
559380
Artificial intelligence.
Index Terms--Genre/Form:
554714
Electronic books.
High Dimensional Reachability Analysis : = Addressing the Curse of Dimensionality in Formal Verification.
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Addressing the Curse of Dimensionality in Formal Verification.
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Source: Dissertation Abstracts International, Volume: 79-05(E), Section: B.
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Adviser: Claire J. Tomlin.
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Thesis (Ph.D.)--University of California, Berkeley, 2017.
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Includes bibliographical references
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Automation is becoming pervasive in everyday life, and many automated systems, such as unmanned aerial systems, autonomous cars, and many types of robots, are complex and safety-critical. Formal verification tools are essential for providing performance and safety guarantees for these systems. In particular, reachability analysis has previously been successfully applied to small scale control systems with general nonlinear dynamics under the influence of disturbances. Its exponentially scaling computational complexity, however, makes analyzing more complex, large scale systems intractable. Alleviating computation burden is in general a primary challenge in formal verification.
520
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This thesis presents ways to tackle this "curse of dimensionality" from multiple fronts, bringing tractable verification of complex, practical systems such as unmanned aerial systems, autonomous cars and robots, and biological systems closer to reality. The theoretical contributions pertain to Hamilton-Jacobi (HJ) reachability analysis, with applications to unmanned aerial system. In addition, this thesis also explores two frontiers of HJ reachability by combining the formal guarantees of reachability with the computational advantages of optimization and machine learning, and with fast motion planning algorithms commonly used in robotics. The potential and benefits of the theoretical advances are demonstrated in numerous practical applications.
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click for full text (PQDT)
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