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As optimization techniques, direct search method and stochastic search method are widely used in designing of ship structures.
By using the Lyapunov method and stochastic analysis, we derive a sufficient condition for the existence of the desired estimator.
Based on the Lyapunov Krasovskii functional method and stochastic differential equation theory, the criteria for the stability analysis and delays boundedness to maintain the system stable are derived.
Based on the stochastic Kronecker delta function method and stochastic analysis technique, we establish some conditions for the sake of guaranteeing the existence of the desired state estimator.
Three semi-analytical methods, namely the Describing Function Method, Multi-term Harmonic Balance Method and Stochastic Linearization Method, are utilized to investigate the effect of impact damping.
The peak-picking method and stochastic subspace identification method were used to extract structural dynamic characteristics without knowing the input excitation.
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Derivative-based optimization methods and stochastic optimization methods are quite different techniques, with different drawbacks and potentialities.
Machine learning approaches, such as those using reinforcement learning methods and stochastic models, have been used to acquire behavior appropriate to environments characterized by uncertainty.
For this purpose, the deterministic (obtained by soft computing methods) and stochastic (obtained by GARCH time series model) parts are combined with each other.
Emphasis is on neural network techniques, kernel methods and stochastic embedding approaches, which have been successfully used for ligand-based virtual screening, SAR landscape analysis, combinatorial library design, and screening compound selection.
Methods include the stochastic Galerkin methods based on generalized Polynomial Chaos (gPC), stochastic collocation methods and stochastic finite volume methods (SFVM).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com