An efficient integration algorithm for a class of discontinuous dynamical systems in sliding motion
Proceedings of the American Control Conference - Tập 1 - Trang 698-703 vol.1
Tóm tắt
An ideal gas-liquid discontinuous dynamical system at sliding motion is studied. The discontinuity sticks while described by the gas model, and hence, integrated over a fixed time step. A discontinuity algorithm detects the exact time duration of applicability of the liquid model. The ratio of time of applicability of the liquid model to that of the gas model is a smooth graph and it is in agreement with the analytical results. In addition, this is shown to be an efficient way to numerically solve the system while in sliding motion.
Từ khóa
#Motion analysis #Inductors #Mathematical model #Mathematics #Chemical technology #Gas industry #Plastics industry #Mathematical analysis #Polymers #Differential algebraic equationsTài liệu tham khảo
10.1016/S0009-2509(01)00195-6
10.1016/S0009-2509(01)00044-6
nordsieck, 1962, On the numerical integration of odes, Mathematics of Computation, 16, 22, 10.1090/S0025-5718-1962-0136519-5
10.1016/S0009-2509(01)00043-4
10.1016/0098-1354(91)85016-N
10.1145/232807.232809
10.1145/356068.356071
10.1016/0378-4754(78)90068-X
gear, 1971, Numerical Initial Value Problems in Ordinary Differential Equations
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