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Based on a system transformation method, the consensus problem for heterogeneous multi-agent systems is converted into a consensus problem for homogeneous multi-agent systems.
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Han [5] obtained delay-dependent stability conditions for uncertain neutral time-varying system by model transformation method, due to cross terms of model transformation, results are less conservative.
By using appropriate nonlinear state feedback and coordinate transformation method, a nonlinear system is transformed into a linear system partially or wholly, then the system controller can be designed based on the linear control method.
For completeness, an optimal digital controller design for the DPG control system and a generalized bilinear transformation method with a tunable parameter are also provided, which can re-transform the integer time-delayed discrete-time model to its continuous-time model.
Based on cavity quantum electrodynamics (QED), we investigate the light-matterinteraction between surface plasmon polaritons (SPP) in a metal nanoparticle (MNP and the excitons in semiconductor quantum dots (SQDs) in an SQD-MNP coupled system.We propose a quantum transformation method to strongly reveal the exciton energyshift and the modified decay rate of SQD as well as the coupling among SQDs.
To facilitate the controller design, a model transformation method is proposed to transform the LTV system into a linear time-invariant (LTI) system with norm-bounded uncertainties.
The solution has been obtained by means of the Galerkin orthogonalisation method combined with the proposed method of the coordinate system transformation.
Hence, the primary goal of this study is to establish an efficient transformation method and vector system for G. frondosa.
This study first presented an investigation of the time series method, linear transformation method and Johnson transformation system.
Using the boundary control transformation method, the PDE-ODE system is represented in an infinite-dimensional state-space with a homogeneous boundary condition.
The nonlinear system of differential equations is solved with the differential transformation method (DTM) which is a semi-analytical technique.
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