Patents by Inventor Lawrence F. Shampine

Lawrence F. Shampine has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Method for modeling and analyzing linear time invariant systems with time delays
    Patent number: 8712753
    Abstract: A method and apparatus are provided to model, analyze, and build linear time invariant systems with delays. The method and apparatus model a linear time invariant system as a linear fractional transformation of matrices of a delay free linear time invariant model with a bank of pure delays. The method and apparatus of the present invention can further accommodate input delays and output delays associated with the linear time invariant system with delays.
    Type: Grant
    Filed: January 5, 2010
    Date of Patent: April 29, 2014
    Assignee: The MathWorks, Inc.
    Inventors: Pascal Gahinet, Lawrence F. Shampine
  • Method for modeling and analyzing linear time invariant systems with time delays
    Patent number: 7647213
    Abstract: A method and apparatus are provided to model, analyze, and build linear time invariant systems with delays. The method and apparatus model a linear time invariant system as a linear fractional transformation of matrices of a delay free linear time invariant model with a bank of pure delays. The method and apparatus of the present invention can further accommodate input delays and output delays associated with the linear time invariant system with delays.
    Type: Grant
    Filed: September 30, 2004
    Date of Patent: January 12, 2010
    Assignee: The MathWorks, Inc.
    Inventors: Pascal Gahinet, Lawrence F. Shampine
  • Method for modelling and analyzing linear time invariant systems with time delays
    Patent number: 7529652
    Abstract: A method and apparatus are provided to model, analyze, and build linear time invariant systems with delays. The method and apparatus model a linear time invariant system as a linear fractional transformation of matrices of a delay free linear time invariant model with a bank of pure delays. The method and apparatus of the present invention can further accommodate input delays and output delays associated with the linear time invariant system with delays.
    Type: Grant
    Filed: July 19, 2007
    Date of Patent: May 5, 2009
    Assignee: The MathWorks, Inc.
    Inventors: Pascal Gahinet, Lawrence F. Shampine