Existence of the Classic Solution of a Two Phase Multidimensional Stefan Problem on Any Finite Time Interval

1992 ◽  
pp. 97-103
Author(s):  
M. A. Borodin
Keyword(s):  
Stefan Problem ◽  
Finite Time ◽  
Time Interval ◽  
Finite Time Interval ◽  
Two Phase ◽  
Classic Solution

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.

$$H_{\infty }$$ H ∞ State Estimation for Stochastic Jumping Neural Networks with Fading Channels Over a Finite-Time Interval

2018 ◽  
Vol 50 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Liang Shen ◽  
Hao Shen ◽  
Mingming Gao ◽  
Yajuan Liu ◽  
Xia Huang
Keyword(s):  
Neural Networks ◽  
State Estimation ◽  
Fading Channels ◽  
Finite Time ◽  
Time Interval ◽  
Finite Time Interval

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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