Displaying similar documents to “Stability in Terms of Two Measures for Differential Equations with “Maxima” Устойчивост на диференциални уравнения с “максимуми” по отношение на две мерки”

Practical Stability in Terms of Two Measures for Hybrid Dynamic Systems

Shurong Sun, Zhenlai Han, Elvan Akin-Bohner, Ping Zhao (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

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We study hybrid dynamic systems on time scales. Using Lyapunov-like functions, we obtain sufficient conditions for practical stability and strict practical stability in terms of two measures for hybrid dynamic systems on time scales.

Stability of a class of adaptive nonlinear systems

Andrzej Dzielinski (2005)

International Journal of Applied Mathematics and Computer Science

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This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class...

Stability type results concerning the fundamental equation of information of multiplicative type

Eszter Gselmann (2009)

Colloquium Mathematicae

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The paper deals with the stability of the fundamental equation of information of multiplicative type. It is proved that the equation in question is stable in the sense of Hyers and Ulam under some assumptions. This result is applied to prove the stability of a system of functional equations that characterizes the recursive measures of information of multiplicative type.