Title :
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
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;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358174
