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Stability and Comparison of States of Dynamical Systems with Respect to a Time-Varying Cone

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Abstract

We investigate classes of dynamical systems in a partially ordered space with properties of monotonicity type with respect to specified cones. We propose new methods for the stability analysis and comparison of solutions of differential systems using time-varying cones. To illustrate the results obtained, we present examples using typical cones in vector and matrix spaces.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 2, pp. 198–213, February, 2005.

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Mazko, A.G. Stability and Comparison of States of Dynamical Systems with Respect to a Time-Varying Cone. Ukr Math J 57, 232–249 (2005). https://doi.org/10.1007/s11253-005-0184-9

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  • DOI: https://doi.org/10.1007/s11253-005-0184-9

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