We use a matrix-valued Lyapunov function for the investigation of the absolute parametric stability of uncertain singularly perturbed systems. In this case, a system may be stable even if its subsystems are unstable. We establish sufficient conditions for absolute parametric stability and determine the domain of this stability in the parameter space.
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Translated from Neliniini Kolyvannya, Vol. 15, No. 3, pp. 367–380, July–September, 2012.
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Martynyuk, A.A., Khoroshun, A.S. On parametric stabilization of uncertain singularly perturbed systems. J Math Sci 191, 403–420 (2013). https://doi.org/10.1007/s10958-013-1326-5
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DOI: https://doi.org/10.1007/s10958-013-1326-5