We first consider additive input uncertainties and design a high-gain filter to estimate the uncertainty.
With singularities conquered, this ZG neural dynamics is able to solve the tracking-control problem of the modified Lorenz nonlinear system via additive input or mixed inputs (i.e., the mixture of additive and multiplicative inputs).
The tracking-control problem of a special nonlinear system (i.e., the extension of a modified Lorenz chaotic system) with additive input or the mixture of additive and multiplicative inputs is considered in this paper.
The designed controller is still valid when the system has an additive input disturbance which, essentially different from those studied previously, may not be periodic or bounded by any known constant.
Both theoretical analyses and simulative verifications substantiate that the tracking controllers based on the ZG neural dynamics with additive input or mixed inputs not only achieve satisfactory tracking accuracy but also successfully conquer the singularities encountered during the tracking-control process.
As in [7], the correlation is expressed by an additive input-dependent noise model, W = Y + N, where the correlation noise N ~ ℒ 0, σ y)) is zero-mean Laplacian with standard-deviation σ y), which varies depending on the realization y of the input of the channel, i.e., the side information, namely [7], f N Y n y = 1 σ y 2 e - 2 n σ y (5).
The rate law versions shown in Eqs. 1 and 2 assume additive input processing and a linear transcript degradation rate (β ix i) that depends only on the concentration of the target gene's product.
In regards to orientation, DEA models are also classified as input oriented, output oriented, or additive (both inputs and outputs are optimized) based upon the direction of inefficient unit projections into the frontier [37].
Then, robustness of the closed-loop error system is discussed in the framework of the input to state stability (ISS) theory, where model uncertainties are considered as the additive disturbance inputs.
In this work we consider robust control of discrete-time linear systems affected by time-varying additive disturbance inputs.
