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Diagonal Riccati stability of a class of time-delay systems

Alexander Aleksandrov, Nadezhda Kovaleva
A complex system describing interaction of subsystems of the second order with delay in connections between them is studied. Necessary and sufficient conditions of the existence of a diagonal Lyapunov–Krasovskii functional for the considered system are derived. The obtained results are applied for the stability a nalysis of a mechanical system and a model of population dynamics. In addition, it is shown that they can be used in a problem of formation control.
CYBERNETICS AND PHYSICS, Vol. 7, No. 4. 2018, 167-173. https://doi.org/10.35470/2226-4116-2018-7-4-167-173
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