Qualitative Analysis of Impulsive Equations

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

Chapter Chapter 4 in Qualitative Analysis of Set-Valued Differential Equations, 2019, pp 103-122 from Springer

Abstract: Abstract In recent years, the method of matrix Lyapunov-like functions, which is a generalization of the classical Lyapunov direct method based on matrix-valued functions, has been significantly developed (see, for example, Martynyuk [64, 66, 69] and the references therein). Parallel to the development of the method for different classes of new equations, the structure of the matrix-valued Lyapunov functions remains of great importance and attracts an increasing attention. It is well known that the components of the matrix-valued functions depend on the system of equations under consideration, as well as on compositions of its subsystems. A natural subject for the investigation by means of the multi-component Lyapunov-like functions with different components is the class of impulsive systems.

Date: 2019
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DOI: 10.1007/978-3-030-07644-3_4

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