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Wyszukujesz frazę "stochastic differential equation" wg kryterium: Temat


Wyświetlanie 1-4 z 4
Tytuł:
A Jurdjevic-Quinn theorem for stochastic differential systems under weak conditions
Autorzy:
Florchinger, Patrick
Powiązania:
https://bibliotekanauki.pl/articles/2183489.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stochastic differential system
weak solution of stochastic differential equation
asymptotic stability in probability
Barbashin–Krasovskii theorem
stabilizing state feedback law
Opis:
The purpose of this paper is to provide sufficient conditions for the stabilizability of weak solutions of stochastic dif- ferential systems when both the drift and diffusion are affine in the control. This result extends the well–known theorem of Jurdjevic–Quinn (Jurdjevic and Quinn, 1978) to stochastic differential systems under weaker conditions on the system coefficients than those assumed in Florchinger (2002).
Źródło:
Control and Cybernetics; 2022, 51, 1; 21--29
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Equilibrium reinsurance-investment strategy for mean-variance insurers under state dependent risk aversion
Autorzy:
Alia, Ishak
Chighoub, Farid
Powiązania:
https://bibliotekanauki.pl/articles/1839127.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
time inconsistency
mean-variance criterion
investment-reinsurance strategy
insurer
equilibrium strategy
forward-backward stochastic differential equation
Opis:
In this work, we study the equilibrium reinsurance/ new business and investment strategy for mean-variance insurers, under the assumption that the risk aversion is a function of current wealth level. The surplus of the agents is represented by a sum of a compound process and a linear premium perturbed with a Brownian component. The financial market consists of one riskless asset and a multiple risky assets whose price processes are driven by Poisson random measures and independent Brownian motions. We characterize explicit expressions for the time-consistent Nash equilibrium strategy and the equilibrium value function via a forward-backward stochastic system and an equilibrium condition. An interesting feature of these FBSDEs is that a time parameter is involved, so that they form a flow of FBSDEs. Furthermore, a feedback representation of an equilibrium solution is derived. This solution provides a tool for comparing the equilibrium strategy with those derived in other papers, where some special cases were studied by the dynamic programming argument.
Źródło:
Control and Cybernetics; 2019, 48, 4; 489-523
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the fuzzy control stochastic differential systems
Autorzy:
Tung, T. T.
Powiązania:
https://bibliotekanauki.pl/articles/970073.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fuzzy theory
differential equations
fuzzy differential equation
fuzzy stochastic differential system
control theory
Opis:
In this paper, fuzzy control stochastic differentia systems are introduced. The existence and some comparison results on solutions of fuzzy control stochastic differential systems and on sheaf-solutions of sheaf fuzzy control stochastic systems are provided. The continuous dependence of solutions and sheaf-solutions on initials and controls is investigated. The results obtained are correct and meaningful for the theory control.
Źródło:
Control and Cybernetics; 2013, 42, 2; 505-525
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimizing the time spent in an interval by a Wiener process with uniform jumps
Autorzy:
Lefebvre, Mario
Powiązania:
https://bibliotekanauki.pl/articles/1839133.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Brownian motion
Poisson process
first-passage time
optimal stochastic control
integro-differential equation
Opis:
Let Xu(t) be a controlled Wiener process with jumps that are uniformly distributed over the interval [−c, c]. The aim is to minimize the time spent by Xu(t) in the interval [a, b]. The integro- differential equation, satisfied by the value function, is transformed into an ordinary differential equation and is solved explicitly for a particular case. The approximate solution obtained is precise when c is small.
Źródło:
Control and Cybernetics; 2019, 48, 3; 407-415
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-4 z 4

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