Discretized Lyapunov functional for systems with distributed delay

Author

Keqin Gu ; Luo, Albert C. J. ; Niculescu, Silviu-Iulian

Author_Institution

Dept. of Mech. h Ind. Eng., Southern Illinois Univ. at Edwardsville, Edwardsville, IL, USA

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

3649

Lastpage

3654

Abstract

The stability problem for systems with distributed delay is considered using discretized Lyapunov functional. The distributed delay is assumed to be piecewise constant, and the discretization mesh may be nonuniform. The resulting stability criteria are written in the form of linear matrix inequality. The basic idea can be extended to more general setting with more involved formulation.

Keywords

Lyapunov methods; delays; linear matrix inequalities; piecewise constant techniques; discretization mesh; discretized Lyapunov functional; distributed delay; linear matrix inequality; piecewise constant; stability criteria; stability problem; Distributed delay; LMIs; Lyapunov functionals; asymptotic stability; discretizing schemes;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099897

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=706952