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Displaying similar documents to “Prolongations and stability in dynamical systems”

Another characterization of absolute stability

Roger G. McCann (1971)

Annales de l'institut Fourier

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The absolute stability of a compact set is characterized in terms of a fundamental system of positive invariant neighborhoods.

On absolute stability

Roger C. McCann (1972)

Annales de l'institut Fourier

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Absolute stability of a compact set is characterized by the cardinality of a fundamental system of positively invariant neighborhoods.

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...