On the reachable set bounding of uncertain dynamic systems with time-varying delays and disturbances

Authors:
O. M. Kwon;S. M. Lee;Ju H. Park
Affiliations:
School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju 361-763, Republic of Korea;Department of Electronic Engineering, Daegu University, Gyungsan 712-714, Republic of Korea;Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea
Venue:
Information Sciences: an International Journal
Year:
2011

Citing 8
Cited 0

A Unified Algebric Approach to Control Design

A Unified Algebric Approach to Control Design
Quantized output feedback control for networked control systems

Information Sciences: an International Journal
Technical communique: Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances

Automatica (Journal of IFAC)
A survey of linear matrix inequality techniques in stability analysis of delay systems

International Journal of Systems Science
Delay-dependent robust H∞ control for uncertain systems with time-varying delay

Information Sciences: an International Journal
Improved delay-dependent bounded real lemma for uncertain time-delay systems

Information Sciences: an International Journal
Time-delay systems: an overview of some recent advances and open problems

Automatica (Journal of IFAC)
Technical Communique: On reachable sets for linear systems with delay and bounded peak inputs

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.07

Visualization

Abstract

In this paper, improved conditions are proposed for finding an ellipsoidal bound of reachable sets which bound the state trajectories of uncertain dynamic systems with time-varying delays and bounded peak disturbances. A more generalized time-derivative condition is considered in comparison with previous work. By the use of convex-hull properties and application of the Lyapunov method, sufficient conditions for finding an ellipsoidal bound of reachable sets of the concerned systems are established in terms of linear matrix inequalities (LMIs). Two numerical examples are included to show the superiority and effectiveness of our results.