Non-conservative ultimate bound estimation in LTI perturbed systems

Automatica ◽  
2005 ◽  
Vol 41 (10) ◽  
pp. 1835-1838 ◽  
Author(s):  
Ernesto Kofman
Keyword(s):  
Perturbed Systems ◽  
Ultimate Bound ◽  
Bound Estimation

scholarly journals Control design with guaranteed ultimate bound for perturbed systems

Automatica ◽  
2008 ◽  
Vol 44 (7) ◽  
pp. 1815-1821 ◽  
Author(s):  
Ernesto Kofman ◽  
María M. Seron ◽  
Hernan Haimovich
Keyword(s):  
Control Design ◽  
Perturbed Systems ◽  
Ultimate Bound

Ultimate bound estimation set and chaos synchronization for a financial risk system

2018 ◽  
Vol 154 ◽  
pp. 19-33 ◽  
Author(s):  
Wei Gao ◽  
Li Yan ◽  
Mohammadhossein Saeedi ◽  
Hassan Saberi Nik
Keyword(s):  
Chaos Synchronization ◽  
Financial Risk ◽  
Ultimate Bound ◽  
Bound Estimation

ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS

2011 ◽  
Vol 21 (09) ◽  
pp. 2679-2694 ◽  
Author(s):  
PEI WANG ◽  
DAMEI LI ◽  
XIAOQUN WU ◽  
JINHU LÜ ◽  
XINGHUO YU
Keyword(s):  
Dynamical Systems ◽  
Chaotic System ◽  
Lorenz System ◽  
High Dimensional ◽  
Hyperchaotic System ◽  
Sufficient Condition ◽  
System A ◽  
Ultimate Bound ◽  
Autonomous Dynamical Systems ◽  
Bound Estimation

This paper aims to propose a unified approach for the ultimate bound estimation of a class of High Dimensional Quadratic Autonomous Dynamical Systems (HDQADS). Using the proposed method and the optimization idea, a sufficient condition is then given for estimating the ultimate bounds of a class of HDQADS. To validate the above sufficient condition, this paper further investigates the ultimate bound estimation of a hyperchaotic system, a 6D and a 9D chaotic system, separately. Moreover, the ultimate bounds for a general Lorenz system, a low-order atmospheric circulation model, and a new 3D chaotic system are also discussed in detail. In particular, it should be pointed out that a unified and accurate ultimate bound estimation is attained for the generalized Lorenz system and it includes several well-known results as its special cases. Some numerical simulations are also given to verify and visualize the corresponding theoretical results.

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