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This document discusses efficient methods for solving Lyapunov matrix equations that arise in control system analysis and design. It presents a method that transforms the matrix A into triangular form U using similarity transformations, allowing the equation to then be solved with approximately 5n^3 multiplications, making it more efficient than iterative methods. It derives the equations to compute the solution vector h given the transformed matrices U and S. The method requires fewer computations than dir
- Author
- Haocheng Li
- Language
- EN