Analysis of the set of trajectories of nonlinear dynamics: Stability and boundedness of motions |
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Authors: | A A Martynyuk Yu A Martynyuk-Chernienko |
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Institution: | 19726. Institute of Mechanics, National Academy of Sciences, Kiev, Ukraine
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Abstract: | For a set of differential equations with the Hukuhara derivative, we obtain sufficient conditions for various types of boundedness of trajectories and stability of the set of stationary solutions. To this end, we use scalar and vector Lyapunov functions constructed on the basis of an auxiliary matrix-valued function. |
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