We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Quantitative local L<sub>2</sub>-gain and Reachability analysis for nonlinear systems.
- Authors
Summers, Erin; Chakraborty, Abhijit; Tan, Weehong; Topcu, Ufuk; Seiler, Pete; Balas, Gary; Packard, Andrew
- Abstract
SUMMARY This paper develops theoretical and numerical tools for quantitative local analysis of nonlinear systems. Specifically, sufficient conditions are provided for bounds on the reachable set and L2 gain of the nonlinear system subject to norm-bounded disturbance inputs. The main theoretical results are extensions of classical dissipation inequalities but enforced only on local regions of the state and input space. Computational algorithms are derived from these local results by restricting to polynomial systems, using convex relaxations, for example the S-procedure, and applying sum-of-squares optimizations. Several pedagogical and realistic examples are provided to illustrate the proposed approach. Copyright © 2013 John Wiley & Sons, Ltd.
- Publication
International Journal of Robust & Nonlinear Control, 2013, Vol 23, Issue 10, p1115
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.2948