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- W2048283391 abstract "Abstract Original methods to solve an iterative sequence of Lyapunov equations are detailed. The first one is based on the eigenvalue–eigenvector approach. The second one considers the Schur reduction method. The third one takes into account the linearity of the equations. These methods are based on classical approaches, by optimizing the elapsed time by minimizing computation quantity. In fact, in classical approaches, there are some computations repeated in each iteration. The proposed approaches are based on the fact that these computations are executed just before the first iteration. In such case, a corresponding algorithm is developed, and is decomposed into two steps. The first step considers all common computations. In the second step, the solution is directly given at each iteration. Simulation results confirm the performance of the presented approaches, which decrease the computational quantity and increase the algorithm speed." @default.
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- W2048283391 date "2001-11-01" @default.
- W2048283391 modified "2023-10-14" @default.
- W2048283391 title "How to solve Lyapunov iterative equations" @default.
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- W2048283391 doi "https://doi.org/10.1016/s0045-7906(00)00030-6" @default.
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