The solution of the Lyapunov matrix equations
Abstract
Lyapunov matrix equations widely used in the theory of stability of motion, as well as the solution of differential Riccati equations. If the structure of the general solution of the homogeneous part of the Lyapunov equation is well studied, the solution of the inhomogeneous Lyapunov equation is quite cumbersome. We have proposed a formula for constructing a particular solution of the nonhomogeneous Lyapunov equation.
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References
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