engleski

Applications of Lyapunov and T-Lyapunov equations in mechanics

This paper considers Lyapunov and T-Lyapunov matrix equations. Lyapunov equation is a matrix equation of the form AX + XA^T = E which plays a vital role in a number of applications, while T-Lyapunov equation is a matrix equation of the form AX +X^TA^T = E. In this paper the relation between these equations will be exploit with purpose of applying obtained results in problems regarding damping optimization in mechanical systems.

Lyapunov equation ; T- Lyapunov equation ; damping optimization

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