Matrix bounds for the solution of the unified algebraic Lyapunov equation using Delta operator
基于Delta算子的统一代数Lyapunov方程解的上下界

The estimation problem of matrix bounds for the continuous algebraic Lyapunov equation (CALE) and the discrete algebraic Lyapunov equation (DALE) could be considered by unified approach using delta operator. The upper and lower matrix bounds for the solution of the unified algebraic Lyapunov equation (UALE) are presented in terms of matrix inequality approach, and the obtained bounds reduce to existing ones for the continuous and discrete Lyapunov equations in the limiting cases. The proposed results are illustrated through an example.