ISSN:
1573-2878
Keywords:
Robust stabilization
;
linear dynamical systems
;
time-varying delays
;
sufficient conditions
;
unstructured and structured uncertainties
;
algebraic Riccati equation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, the problem of the robust stabilization for a class of uncertain linear dynamical systems with time-varying delay is considered. By making use of an algebraic Riccati equation, we derive some sufficient conditions for robust stability of time-varying delay dynamical systems with unstructured or structured uncertainties. In our approach, the only restriction on the delay functionh(t) is the knowledge of its upper boundh −. Some analytical methods are employed to investigate these stability conditions. Since these conditions are independent of the delay, our results are also applicable to systems with perturbed time delay. Finally, a numerical example is given to illustrate the use of the sufficient conditions developed in this paper.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02192220
Permalink
