Then a state-space equation governing the vibration of both beams and the moving oscillator is established by introducing some state variables, and solved by a single-step scheme.
By introducing some latent variables, the conditional distributions in the posterior may be shown to be conjugate, and thus an efficient Gibbs sampler to compute the posterior distribution may be developed.
Recently, in [1], the generalized Ito-type coupled KdV system (1a) and (1b) was constructed as a multi-symplectic Hamiltonian partial differential equation by introducing some new variables, and multi-symplectic numerical methods were applied to investigate this system.
By introducing some auxiliary variables, (13) can be recast as the following convex optimization problem minlimits_{epsilon,varsigma,mathbf{w}} ~~epsilon ~~~mathrm{s.t.}left{ begin{array}{l} left|mathbf{w}^{T}mathbf{g} phi_{d},f,theta -P_{d}(phi_{d},f,theta -P_{d| leqvarsigma varepsilon |mathbf{w} phi_{d}lon-varsigma left(,f,thetaright)in mathbf{Omega}, phi_{d}in mathbf{Psi} end{array} right.
Then, the result is extended to the case of singular time-delay systems with polytopic uncertainties and relaxed conditions are derived by introducing some weighting matrix variables.
A new analysis method for H∞ performance of NCSs is provided by introducing some slack matrix variables and employing the information of the lower bound of the network-induced delay.
The control design approach is facilitated by introducing some additional instrumental matrix variables.
The general expressions of the coefficient of performance and power input are derived by introducing some dimensionless parameters and variables.
By introducing slack variables ζ ≥ 0, equation (16) becomes: (19).
So, we test this hypothesis by introducing binary variables (D2).
