Exponential stabilization of controlled positive delayed systems under input control constraint: A delay decomposition technique

2015 ◽  
Author(s):  
W. Elloumi ◽  
M. Ghamgui ◽  
D. Mehdi ◽  
M. Chaabane
Keyword(s):  
Exponential Stabilization ◽  
Decomposition Technique ◽  
Control Constraint ◽  
Delayed Systems ◽  
Input Control ◽  
Delay Decomposition

scholarly journals Improved Results on Reachable Set Bounding for Linear Delayed Systems with Polytopic Uncertainties

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Hao Chen
Keyword(s):  
Reachable Set ◽  
Linear Matrix ◽  
Integral Functionals ◽  
Decomposition Technique ◽  
Matrix Inequalities ◽  
Functional Theory ◽  
Delayed Systems ◽  
Numerical Examples ◽  
Polytopic Uncertainties ◽  
Delay Decomposition

This paper focuses on bound of reachable sets for delayed linear systems with polytopic uncertainties. Based on Lyapunov-Krasovskii functional theory, delay decomposition technique, and reciprocally convex method, some new results expressed in the form of linear matrix inequalities are derived. It should be noted that triple integral functionals are first to be introduced for reachable set analysis. Consequently, a tighter bound of the reachable set is obtained. Four numerical examples are given to illustrate the effectiveness and advantage of the proposed results comparing with the existing criteria.

scholarly journals New Stabilization for Dynamical System with Two Additive Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Lianglin Xiong ◽  
Fan Yang ◽  
Xiaozhou Chen
Keyword(s):  
Dynamical System ◽  
Upper Bound ◽  
Lyapunov Functional ◽  
Time Varying ◽  
The Novel ◽  
Decomposition Technique ◽  
Delay Dependent ◽  
Delay Decomposition ◽  
Reciprocally Convex Approach

This paper provides a new delay-dependent stabilization criterion for systems with two additive time-varying delays. The novel functional is constructed, a tighter upper bound of the derivative of the Lyapunov functional is obtained. These results have advantages over some existing ones because the combination of the delay decomposition technique and the reciprocally convex approach. Two examples are provided to demonstrate the less conservatism and effectiveness of the results in this paper.

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