Finite-Time Stability of Standard Systems Sets

Anatoly A. Martynyuk
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Anatoly A. Martynyuk: National Academy of Sciences of Ukraine, Institute of Mechanics

Chapter Chapter 8 in Qualitative Analysis of Set-Valued Differential Equations, 2019, pp 173-187 from Springer

Abstract: Abstract For standard form nonlinear equations with generalized derivative, estimates of deviation of a set of exact solutions from the averaged ones are established and the deviation of a set of trajectories of averaged equations from the equilibrium state is specified in terms of pseudo-linear integral inequalities. Sets of affine systems and problems of approximate integrations and stability over finite interval are considered as applications.

Date: 2019
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DOI: 10.1007/978-3-030-07644-3_8

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