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...