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A MAXIMUM PRINCIPLE APPROACH TO STOCHASTIC H_2/H_∞ CONTROL WITH RANDOM JUMPS
引用本文:张启侠,孙启良.A MAXIMUM PRINCIPLE APPROACH TO STOCHASTIC H_2/H_∞ CONTROL WITH RANDOM JUMPS[J].数学物理学报(B辑英文版),2015(2):348-358.
作者姓名:张启侠  孙启良
作者单位:School of Mathematical Sciences,University of Jinan
基金项目:supported by the Doctoral foundation of University of Jinan(XBS1213);the National Natural Science Foundation of China(11101242)
摘    要:A necessary maximum principle is given for nonzero-sum stochastic differential games with random jumps.The result is applied to solve the H_2/H_∞ control problem of stochastic systems with random jumps.A necessary and sufficient condition for the existence of a unique solution to the H_2/H_∞ control problem is derived.The resulting solution is given by the solution of an uncontrolled forward backward stochastic differential equation with random jumps.

关 键 词:Nonzero-sum  stochastic  differential  games  maximum  principle  Poisson  process  stochastic  H2/H  control  forward  backward  stochastic  differential  equations

A MAXIMUM PRINCIPLE APPROACH TO STOCHASTIC H2/H CONTROL WITH RANDOM JUMPS
Qixia ZHANG;Qiliang SUN.A MAXIMUM PRINCIPLE APPROACH TO STOCHASTIC H2/H CONTROL WITH RANDOM JUMPS[J].Acta Mathematica Scientia,2015(2):348-358.
Authors:Qixia ZHANG;Qiliang SUN
Institution:Qixia ZHANG;Qiliang SUN;School of Mathematical Sciences,University of Jinan;
Abstract:
Keywords:
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