Abstract
In this paper, we present a method for computing the domain of attraction for non-linear dynamical systems. We propose a level-set method where sets are represented as sublevel sets of polynomials. The problem of flowing these sets under the advection map of a dynamical system is converted to a semidefinite program, which we use to compute the coeficients of the polynomials. We further address the related problems of constraining the degree of the polynomials and the connectedness of the associated sets.
Original language | English |
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Title of host publication | 43rd Annual Allerton Conference on Communication, Control and Computing 2005 |
Publisher | University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering |
Pages | 640-649 |
Number of pages | 10 |
Volume | 2 |
ISBN (Electronic) | 9781604234916 |
Publication status | Published - 2005 |
Event | 43rd Annual Allerton Conference on Communication, Control and Computing 2005 - Monticello, United States Duration: 2005 Sept 28 → 2005 Sept 30 |
Other
Other | 43rd Annual Allerton Conference on Communication, Control and Computing 2005 |
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Country/Territory | United States |
City | Monticello |
Period | 05-09-28 → 05-09-30 |
All Science Journal Classification (ASJC) codes
- Computer Networks and Communications
- Computer Science Applications