On continuous time adaptive impulsive control

2006 ◽  
pp. 913-922
Author(s):  
Ł. Stettner
Keyword(s):  
Continuous Time ◽  
Impulsive Control

CHAOTIFYING A CONTINUOUS-TIME SYSTEM VIA IMPULSIVE INPUT

2002 ◽  
Vol 12 (05) ◽  
pp. 1121-1128 ◽  
Author(s):  
LING YANG ◽  
ZENGRONG LIU ◽  
GUANRONG CHEN
Keyword(s):  
Continuous Time ◽  
Impulsive Control ◽  
Stable Limit Cycle ◽  
Control Input ◽  
Stable Limit ◽  
Chaotic State ◽  
Time System ◽  
Impulsive Input ◽  
The Given ◽  
Continuous Time System

This paper studies the chaotification problem of driving a continuous-time system to a chaotic state by using an impulsive control input. The controller is designed to ensure the controlled orbit be bounded and, meanwhile, have positive Lyapunov exponents. This is proved to be not only possible but also implementable near a stable limit cycle of the given system. Two numerical examples are given to illustrate the effectiveness of the proposed chaotification method.

scholarly journals Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
M. De la Sen ◽  
A. Ibeas ◽  
S. Alonso-Quesada
Keyword(s):  
Linear Systems ◽  
Infinite Number ◽  
Dynamic Systems ◽  
Continuous Time ◽  
Impulsive Control ◽  
Parallel Connection ◽  
Time Dynamic ◽  
Control Actions ◽  
Impulsive Controls ◽  
Stable Subsystem

This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the feed-forward loop is allowed while it has also admitted the generation of a finite or infinite number of impulsive control actions which can be combined with a general form of nonimpulsive controls. The asymptotic hyperstability property is guaranteed under a set of sufficiency-type conditions for the impulsive controls.

Heavy Tails of Discounted Aggregate Claims in the Continuous-Time Renewal Model

2007 ◽  
Vol 44 (02) ◽  
pp. 285-294 ◽  
Author(s):  
Qihe Tang
Keyword(s):  
Asymptotic Formula ◽  
Continuous Time ◽  
Heavy Tails ◽  
Tail Behavior ◽  
Renewal Model ◽  
Discounted Aggregate Claims ◽  
Aggregate Claims ◽  
Tail Asymptotic

We study the tail behavior of discounted aggregate claims in a continuous-time renewal model. For the case of Pareto-type claims, we establish a tail asymptotic formula, which holds uniformly in time.

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