Exponential Time-Stepping Method for Linear Complementarity Systems

Linear complementarity system (LCS) consists of an ordinary differential equation (ODE) and a linear complementarity problem (LCP). In this article, we propose an exponential time-stepping method for solving LCS, which uses exponential integrator to discretize the ODE and solves the LCPs at the disc...

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Veröffentlicht in:	IEEE transactions on automatic control 2022-10, Vol.67 (10), p.5653-5660
1. Verfasser:	Wang, Zhengyu
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Differential equations Ear Exponential time-stepping method Interpolation linear complementarity system (LCS) Minimization Optimal control Ordinary differential equations P-matrix regularization Symmetric matrices
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Beschreibung
Zusammenfassung:	Linear complementarity system (LCS) consists of an ordinary differential equation (ODE) and a linear complementarity problem (LCP). In this article, we propose an exponential time-stepping method for solving LCS, which uses exponential integrator to discretize the ODE and solves the LCPs at the discrete time points. Numerical results are reported for illustrating its good performance.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2022.3183041