Lyapunov–Krasovskii functionals for scalar time delay equations

✍ Scribed by V.L. Kharitonov

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 645 KB
• Volume: 51
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(03)00221-4

✦ Synopsis

In this paper a procedure for construction of complete type Lyapunov-Krasovskii functionals for a scalar time delay equation is considered. The functionals depend on a scalar function which satisÿes a time delay equation. It is shown that the scalar function satisÿes also a high order delay free di erential equation. In order to specify the function additional boundary conditions are given.

Robust stability conditions based on the Lyapunov-Krasovskii functionals are presented.