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(25 citation statements)

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“…This framework is proposed to avoid the high computational cost of direct Bayesian updating, of particular importance for real-time applications such as turbulent flow control [10,11]. The first step can involve any method for order reduction, including the k-means clustering method applied recently to the classification of dynamical and fluid mechanics systems [12].…”

confidence: 99%

“…The numerical method applied in nonlinear differential game began taking shape in the 1980s, and it has developed into the method which could deal with random response problems in nonlinear dynamics system so far. For non-linear mechanics with n degree of freedom, it could be expressed with differential mode [5][6][7]: …”

confidence: 99%

“…Tin has no autocatalysis, which is different from nickel [18][19]. When there is only thiourea in electroless plating bath, nickel can continue depositing, but the deposition rate of tin will decrease gradually because the driving force of reaction attenuated gradually.…”

confidence: 99%

“…However, the ARC design method is still subject to the same limitations of the Lyapunov-based control and the sliding mode control methods when dealing with nonlinear systems. Different from the above three methods, the key idea of the exact linearization via feedback method [11][12][13] is to construct a nonlinear state transform such that the nonlinear systems can be transformed to linear systems, design a robust controller using the existing linear theory, and then obtain the controller for the original nonlinear systems via nonlinear state inverse transform. It is noted that, the above method requires that the nominal nonlinear system can be exactly linearized, which is not the case for many systems.…”

confidence: 99%

“…A major thrust in developing algorithms is related to developing an optimal control algorithm which works for linear structures. An offshore structure is usually afflicted with nonlinearity and therefore, in order for these algorithms to show desired performance, the control algorithms should either be able to handle structural nonlinearity [6] or the existing algorithms can be used by linearization [7]. Recently, many advanced nonlinear regulation schemes such as recursive backstepping, sliding mode control, dynamic inversion, etc., are used to control of nonlinear systems [8,9] though their widespread usage is still limited as they are attempting to exploit the linear system theory.…”

confidence: 99%