PhD Proposal by Raphael Cohen

Event Details
  • Date/Time:
    • Friday February 16, 2018 - Saturday February 17, 2018
      10:15 am - 11:59 am
  • Location: TSRB (Tech Square) Room 523a
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Summary Sentence: Formal Verification of Convex Optimization Algorithms Within Control Systems

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Formal Verification of Convex Optimization Algorithms Within Control Systems




PhD Student: Raphael Cohen

Advisor: Dr. Eric Feron


Date : Friday February 16, 2018 at 10:15 am in TSRB (Tech Square) Room 523a



Abstract. The efficiency of modern optimization methods, coupled with increasing computational resources, has led to the possibility of real-time optimization algorithms acting in safety critical roles. However, this cannot happen without addressing proper attention to the soundness of these algorithms. This PhD thesis discusses the formal verification of convex optimization algorithms with a particular emphasis on receding-horizon controllers. Additionally, we demonstrate how theoretical proofs of real-time optimization algorithms can be used to describe functional properties at the code level, thereby making it accessible for the formal methods community. In seeking zero-bug software, we use the Credible Autocoding scheme. We focused our attention on the ellipsoid algorithm solving second-order cone programs (SOCP). In addition to this, we present a floating-point analysis of the algorithm and give a framework to numerically validate the method.



keywords: Formal Methods, Software Verification, Frama-C, SMT Solvers, Convex

Optimization, Ellipsoid Method, Floating-points.



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In Campus Calendar

Graduate Studies

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Faculty/Staff, Public, Graduate students, Undergraduate students
Phd proposal
  • Created By: Tatianna Richardson
  • Workflow Status: Published
  • Created On: Feb 8, 2018 - 10:32am
  • Last Updated: Feb 8, 2018 - 10:32am