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Based on the Wirtinger-based integral inequality, a double integral form of the Wirtinger-based integral inequality (hereafter called as Wirtinger-based double integral inequality) is introduced in this paper. To show the effectiveness of the proposed inequality, two stability criteria for systems with discrete and distributed delays are derived within the framework of linear matrix inequalities (LMIs)...
This paper proposes new delay-dependent leader-following consensus criterion for multi-agent systems with time-varying delays. Specially, the randomly occurring connection information of leader is considered in the concerned system. By constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach, new delay-dependent consensus criterion for the systems are established...
This paper proposes new delay-dependent consensus criteria for multi-agent systems with time-varying delays and static interconnection topology. By constructing a suitable Lyapunov-Krasovskii's functional and utilizing convex-hull properties, new delay-dependent consensus criteria for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective...
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