Abstract
Large sparse second-order index-3 descriptor system arises in various disciplines of science and engineering including constraint mechanics, mechatronics (where mechanical and electrical elements are coupled) and circuit designs. Simulation, controller design and design optimization are some applications of such models. These tasks become challenging when the dimension of the system is high. This paper discusses a method to obtain a reduced second-order model from a large sparse second-order index-3 system using the Balanced Truncation. For this purpose, the low-rank alternating direction implicit iteration is modified to solve the Lyapunov equations of the index-3 structure system efficiently in an implicit way. Numerical resultants are discussed to show the reflectivity and efficiency of the techniques.
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