A stability theorem of the direct Lyapunov's method for neutral-type systems in a critical case

Quan Quan and Kai-Yuan Cai

International Journal of Systems Science, 2012, vol. 43, issue 4, 641-646

Abstract: A new stability theorem of the direct Lyapunov's method is proposed for neutral-type systems. The main contribution of the proposed theorem is to remove the condition that the 𝒟 operator is stable. In order to demonstrate the effectiveness, the proposed theorem is used to determine the stability of a neutral-type system in a critical case, i.e. the dominant eigenvalues of the principal neutral term (matrix D in Introduction) lie on the unit circle. This is difficult or infeasible in previous studies.

Date: 2012
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DOI: 10.1080/00207721.2010.517869

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