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IMA Journal of Mathematical Control and Information 1997 14(3):299-306; doi:10.1093/imamci/14.3.299
© 1997 by Institute of Mathematics and its Applications
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On delay-independent stability criteria: a matrix-pencil approach

SILVIU-IULIAN NICULESSCU 12 * and VLAD IONESCU 2

1Laboratoire d'Automatique de Grenoble (URA CNRS 228) ENSIEG, BP 46, 38402 st.-Martin-d'Hères, France
2Faculty of Automatic Control and Computers, University ‘Politehica’ Bucharest, 313, Splaiul Independentei Sector 6, Bucharest, Romania

This paper focuses on the problem of asymptonic stability of a linear system describrd by delay–differential equations. Sufficient delay-independent stability conditions are derived in terms of some algebric properties of an adequate matrix pencil via a Lyapunov–Krasovskii functional-based approach. The criteria proposed here are less conservative than similar ones proposed in the literature. The results is also extended to the case when a memoryless control input is considered.

* This author is also with the GDR CNRS ‘Automatique’.


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