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Exponential Time-Stepping Method for Linear Complementarity Systems

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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… Click to show full abstract

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.

Keywords: linear complementarity; exponential time; complementarity; stepping method; time stepping

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2022

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