Robust stability analysis of Hamiltonian systems with time-varying delays and uncertainties

Author

Sun, Weiwei ; Wang, Pan

Author_Institution

Inst. of Autom., Qufu Normal Univ., Qufu, China

fYear

2012

fDate

6-8 July 2012

Firstpage

1832

Lastpage

1837

Abstract

This paper investigates the robust stability for time-delay Hamiltonian systems with polytypic uncertainties. Both delay-independent and delay-dependent criteria are established based on the dissipative structural properties of the Hamiltonian systems and the Lyapunov-Krasovskii (L-K) functional approach. All the proposed stability conditions are expressed in terms of Linear Matrix Inequality (LMI). Numerical examples demonstrate the validity of the new results proposed in this paper.

Keywords

Lyapunov methods; delays; linear matrix inequalities; robust control; time-varying systems; uncertain systems; L-K functional approach; LMI; Lyapunov-Krasovskii functional approach; delay-dependent criteria; delay-independent criteria; dissipative structural property; linear matrix inequality; polytypic uncertainty; robust stability analysis; stability conditions; time-delay Hamiltonian systems; time-varying delays; Delay; Numerical stability; Robust stability; Robustness; Symmetric matrices; Trajectory; Uncertainty; Robust stability; Sufficient condition; Time-delay Hamiltonian systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358174

Filename

6358174