Abstract
Stability is important for control systems. In this paper, using the transformation of the matrix equations and some significant properties of the matrix inequality, we derived new upper solution bounds of the continuous coupled algebraic Riccati equation (CCARE). The new bounds are more precise than those proposed in some existing works on this topic numerically. Next, a condition for the stability of multi-agent systems with time-delay in the state is presented according to the upper solution bound of the CCARE. Finally, corresponding numerical examples are provided to illustrate the superior and effectiveness of the derived results.
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