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Interval Reachability Analysis : Bounding Trajectories of Uncertain Systems with Boxes for Control and Verification (SpringerBriefs in Electrical and Computer Engineering)

By: Alex Devonport (Author) , Murat Arcak (Author) , Pierre-Jean Meyer (Author)

Extended Catalogue

Ksh 12,550.00

Format: Paperback or Softback

ISBN-10: 3030651096

ISBN-13: 9783030651091

Collection / Series: SpringerBriefs in Electrical and Computer Engineering

Collection Type: Publisher collection

Edition statement: 1st ed. 2021

Publisher: Springer Nature Switzerland AG

Imprint: Springer Nature Switzerland AG

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Jan 21st, 2021

Publication Status: Active

Product extent: 112 Pages

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This brief presents a suite of computationally efficient methods for bounding trajectories of dynamical systems with multi-dimensional intervals, or ‘boxes’.

This brief presents a suite of computationally efficient methods for bounding trajectories of dynamical systems with multi-dimensional intervals, or ''boxes''. It explains the importance of bounding trajectories for evaluating the robustness of systems in the face of parametric uncertainty, and for verification or control synthesis problems with respect to safety and reachability properties. The methods presented make use of:

  • interval analysis;
  • monotonicity theory;
  • contraction theory; and
  • data-driven techniques that sample trajectories.

The methods are implemented in an accompanying open-source Toolbox for Interval Reachability Analysis.

This brief provides a tutorial description of each method, focusing on the requirements and trade-offs relevant to the user, requiring only basic background on dynamical systems. The second part of the brief describes applications of interval reachability analysis. This makes the brief of interest to a wide range of academic researchers, graduate students, and practising engineers in the field of control and verification. 


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