Discrete nonlinear model with substrate feedback

Discrete nonlinear model with substrate feedback.

We consider a prototypical model in which a nonlinear field (continuum or discrete) evolves on a flexible substrate which feeds back to the evolution of the main field. We identify the underlying physics and potential applications of such a model and examine its simplest one-dimensional Hamiltonian form, which turns out to be a modified Frenkel-Kontorova model coupled to an extra linear equatio...

A Discrete Nonlinear Model with Substrate Feedback

Permanence for a Discrete Model with Feedback Control and Delay

The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary. But for the system itself, this condition may not be necessary. Here, we use new methods instead of the comparison theorem to get the permanence of the system in consideration; the...

Adaptive Control of Discrete-Time Output-Feedback Nonlinear Systems

In adaptive control design for discrete-time output-feedback nonlinear plants, the main obstacle is the lack of effective ways to design estimators for the unmeasured states and the unknown parameters. Since these quantities appear as arguments of arbitrary nonlinear functions, traditional estimation methods can not be used. To resolve this problem, we propose a new systematic methodology by wh...

Discrete-Time Nonlinear Feedback Control of Multivariable Processes

Discrete-time nonlinear feedback control laws are derived for multivariable nonlinear processes, whose “delay-free” parts are minimum phase. These include mixed errorand state-feedback, error-feedback, and mixed errorand output-feedback laws, which can induce linear input output closed-loop response. This study is carried out within the framework of the discrete-time globally linearizing contro...