Time-stepping methods for constructing periodic solutions in maximally monotone set-valued dynamical systems | IEEE Conference Publication | IEEE Xplore

Time-stepping methods for constructing periodic solutions in maximally monotone set-valued dynamical systems


Abstract:

In this paper we study a class of set-valued dynamical systems that satisfy maximal monotonicity properties. This class includes linear relay systems, linear complementar...Show More

Abstract:

In this paper we study a class of set-valued dynamical systems that satisfy maximal monotonicity properties. This class includes linear relay systems, linear complementarity systems, and linear mechanical systems with dry friction under certain conditions. We discuss two numerical time-stepping schemes for the computation of periodic solutions of these systems when being periodically excited. For these two schemes we will provide formal mathematical justifications and compare them in terms of approximation accuracy and computation time using a numerical example.
Date of Conference: 15-17 December 2014
Date Added to IEEE Xplore: 12 February 2015
ISBN Information:
Print ISSN: 0191-2216
Conference Location: Los Angeles, CA, USA

References

References is not available for this document.