Sentence examples for by using appropriate stochastic from inspiring English sources
Moreover, by using appropriate stochastic Lyapunov functions, almost surely exponential stability of (P_{0}) also will be stated in this subsection.
By using appropriate stochastic Lyapunov Krasovskii functional, sufficient conditions are initially established on the existence of mode-dependent peak-to-peak filter which also guarantees the stochastic stability of the filtering error dynamic systems.
The gradients required for stochastic optimization are defined, using appropriate stochastic sensitivity problems.
The main idea proposed by him is to exploit the additive noise impairing the eavesdropper by using a stochastic encoder that maps each message to many codewords according to an appropriate probability distribution.
In our work [59], an appropriate function was suggested that could be minimized by calculation for all stereoisomeric structures or by using a stochastic genetic algorithm to limit the number of stereoisomers that need to be investigated [60].
A sufficient condition is firstly established on the stochastic stability by using stochastic Lyapunov Krasovskii functional approach.
Stochastic simulations are performed by using Gillespie stochastic simulation algorithm [ 18], and stochastic trajectories are shown together with the deterministic curves.
Then the stochastic counterpart of the proposed MILP model is developed by using scenario-based stochastic approach.
In order to get reliable/robust optimal designs with respect to random parameter variations, by using stochastic optimization methods, the original random structural optimization problem must be replaced by an appropriate deterministic substitute problem.
However, one can solve the problem by using stochastic estimation methods.
