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In these approaches, the nonlinear dynamical system is divided into two subsystems, which are called the first and the second subsystems.
While the approach has much in common with earlier quasilinearization approaches, the nonlinear programming strategy has a great deal of flexibility in determining control variable discontinuities, enforcing a wide variety of state and control variable constraints and ensuring the accurate determination of both state and control variable profiles.
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The T-S fuzzy system can approach the nonlinear stochastic gene network with time delays via the interpolation of several local linear time-delayed systems to avoid solving HJI in nonlinear robust stabilization and filtering design problems.
In this study, to avoid solving HJI, a fuzzy interpolation method is employed to interpolate several local linear gene networks at different operation points to approach the nonlinear gene network to simplify the design produce of robust stabilization and filtering of gene networks so that the robust gene circuit design could be easily designed and implemented.
We approach the original nonlinear system with a second order linear system at each instantaneous operating point.
In the limit that the Courant number becomes infinite, the nonlinear solution approaches the linearized solution.
Using a weak nonlinearity approach, the nonlinear NOLM transmission is accurately determined through a simple matrix description.
Specifically, for the analysis of the audio stream, an energy-based feature set for saliency-modeling was adopted and approached using the nonlinear differential energy operator based on the Teager-Kaiser Energy Operator [86].
Using a Lagrange approach, the nonlinear system dynamics are derived.
As a different approach, the nonlinear LS algorithm can be utilized.
To realize this approach, the nonlinear theory of elastic curvilinear rods is used.
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