In this paper, we have presented some general necessary and sufficient conditions for the existence of periodic solutions to nonlinear stochastic difference equations on semi-compact topological space. Effective suffi...In this paper, we have presented some general necessary and sufficient conditions for the existence of periodic solutions to nonlinear stochastic difference equations on semi-compact topological space. Effective sufficient conditions in terms of Lyapunov functions are derived for the systems linear in noise.展开更多
The effects of stochastic extension on the statistical evolution of the ideal microcracksystem are discussed. First. a general theoretical formulation and an expression for thetransition probability of extension proce...The effects of stochastic extension on the statistical evolution of the ideal microcracksystem are discussed. First. a general theoretical formulation and an expression for thetransition probability of extension process are presented, then the features of evolution instochastic model are demonstrated by several numerical results and compared with that indeterministic model.展开更多
Aiming at some weapon systems with shooting domain,the stochastic passage characteristics of the barrel were studied.On the basis of the exact definition of the stochastic passage characteristics,its opportunity-await...Aiming at some weapon systems with shooting domain,the stochastic passage characteristics of the barrel were studied.On the basis of the exact definition of the stochastic passage characteristics,its opportunity-awaiting time,residence time and stochastic passage period were given by using the transition probability matrix,and they all obeyed the geometry distributions.Their means and variances were also derived,and the relations between the time indexes and the structure and parameters of weapon control system were established.Finally,the creditability of the conclusions was verified by the test data of weapon system in proving ground.展开更多
文摘In this paper, we have presented some general necessary and sufficient conditions for the existence of periodic solutions to nonlinear stochastic difference equations on semi-compact topological space. Effective sufficient conditions in terms of Lyapunov functions are derived for the systems linear in noise.
基金Project partly supported by the National Natural Science Foundation of China.
文摘The effects of stochastic extension on the statistical evolution of the ideal microcracksystem are discussed. First. a general theoretical formulation and an expression for thetransition probability of extension process are presented, then the features of evolution instochastic model are demonstrated by several numerical results and compared with that indeterministic model.
基金Sponsored by National Defense Fundation of China(9140C300602080C30)NUST Research Fundation of China(2010ZYTS050)
文摘Aiming at some weapon systems with shooting domain,the stochastic passage characteristics of the barrel were studied.On the basis of the exact definition of the stochastic passage characteristics,its opportunity-awaiting time,residence time and stochastic passage period were given by using the transition probability matrix,and they all obeyed the geometry distributions.Their means and variances were also derived,and the relations between the time indexes and the structure and parameters of weapon control system were established.Finally,the creditability of the conclusions was verified by the test data of weapon system in proving ground.
