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New Lyapunov–Krasovskii functionals for stability of linear retarded and neutral type systems

✍ Scribed by E. Fridman

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
118 KB
Volume
43
Category
Article
ISSN
0167-6911

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✦ Synopsis

A new (descriptor) model transformation and a corresponding Lyapunov-Krasovskii functional are introduced for stability analysis of systems with delays. Delay-dependent=delay-independent stability criteria are derived for linear retarded and neutral type systems with discrete and distributed delays. Conditions are given in terms of linear matrix inequalities and for the ÿrst time refer to neutral systems with discrete and distributed delays. The proposed criteria are less conservative than other existing criteria (for retarded type systems and neutral systems with discrete delays) since they are based on an equivalent model transformation and since they require bounds for fewer terms. Examples are given that illustrate advantages of our approach.

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