INITIAL RECTIFIED ATTRACTORS FOR PERFECT GS AND Q-S SYNCHRONIZATION OF CHAOTIC SYSTEMS

2011 ◽  
Vol 25 (06) ◽  
pp. 863-876
Author(s):  
SMAIL ALIBEAKI ◽  
MOHAMMAD HAERI ◽  
MOHAMMAD SALEH TAVAZOEI
Keyword(s):  
Finite Time ◽  
Numerical Experiments ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Initial Conditions ◽  
Time Interval ◽  
Finite Time Interval ◽  
Response Systems

The controlled attractor with initial rectifying action, referred to as initial rectified attractor (IRA) in this paper, is introduced for the purpose of generalized and Q-S chaos synchronization. The IRA is designed to make the states of drive and response systems synchronized in the form of generalized and Q-S within a finite time interval. The reaching time is shown to be independent of the initial conditions and dynamics of the chaotic systems, and can be determined in advance. With numerical experiments it is demonstrated that perfect synchronization can be achieved between the modified Lorenz and the hyperchaotic Rössler systems in different configurations.

A finite-time ruin probability formula for continuous claim severities

2004 ◽  
Vol 41 (2) ◽  
pp. 570-578 ◽  
Author(s):  
Zvetan G. Ignatov ◽  
Vladimir K. Kaishev
Keyword(s):  
Real Function ◽  
Finite Time ◽  
Ruin Probability ◽  
Joint Distribution ◽  
Time Interval ◽  
Insurance Company ◽  
Finite Time Interval ◽  
Appell Polynomials ◽  
Premium Income ◽  
Inverted Dirichlet

An explicit formula for the probability of nonruin of an insurance company in a finite time interval is derived, assuming Poisson claim arrivals, any continuous joint distribution of the claim amounts and any nonnegative, increasing real function representing its premium income. The formula is compact and expresses the nonruin probability in terms of Appell polynomials. An example, illustrating its numerical convenience, is also given in the case of inverted Dirichlet-distributed claims and a linearly increasing premium-income function.

scholarly journals Finite-Time Boundedness for a Class of Delayed Markovian Jumping Neural Networks with Partly Unknown Transition Probabilities

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Li Liang
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Transition Probabilities ◽  
The State ◽  
Time Interval ◽  
Finite Time Interval ◽  
Markovian Jumping ◽  
Stochastic Boundedness ◽  
Partly Unknown Transition Probabilities ◽  
Finite Time Boundedness

This paper is concerned with the problem of finite-time boundedness for a class of delayed Markovian jumping neural networks with partly unknown transition probabilities. By introducing the appropriate stochastic Lyapunov-Krasovskii functional and the concept of stochastically finite-time stochastic boundedness for Markovian jumping neural networks, a new method is proposed to guarantee that the state trajectory remains in a bounded region of the state space over a prespecified finite-time interval. Finally, numerical examples are given to illustrate the effectiveness and reduced conservativeness of the proposed results.

On robust controllability of uncertain non-linear jump systems with respect to the finite-time interval

2011 ◽  
Vol 34 (7) ◽  
pp. 841-849 ◽  
Author(s):  
Shuping He ◽  
Fei Liu
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Time Interval ◽  
Finite Time Interval ◽  
Markov Jump ◽  
Non Linear ◽  
Robust Controllability ◽  
Jump Systems ◽  
Takagi Sugeno

In this paper we study the robust control problems with respect to the finite-time interval of uncertain non-linear Markov jump systems. By means of Takagi–Sugeno fuzzy models, the overall closed-loop fuzzy dynamics are constructed through selected membership functions. By using the stochastic Lyapunov–Krasovskii functional approach, a sufficient condition is firstly established on the stochastic robust finite-time stabilization. Then, in terms of linear matrix inequalities techniques, the sufficient conditions on the existence of the stochastic finite-time controller are presented and proved. Finally, the design problem is formulated as an optimization one. The simulation results illustrate the effectiveness of the proposed approaches.

Investigation of population transfer by sweeping the laser field in a finite time interval

Optik ◽  
2019 ◽  
Vol 181 ◽  
pp. 404-407 ◽  
Author(s):  
Fatemeh Ahmadinouri ◽  
Mehdi Hosseini ◽  
Farrokh Sarreshtedari
Keyword(s):  
Finite Time ◽  
Laser Field ◽  
Time Interval ◽  
Population Transfer ◽  
Finite Time Interval
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