Then, based on infinite-dimensional representation, the state feedback regulator problem (in particular the tracking problem) is considered, where the target is to design a controller that, while guaranteeing the stability of the closed-loop system, drives the controlled output to track a reference signal generated by an exosystem with its spectrum on the imaginary axis.
The analysis is based on an infinite dimensional realization theorem which involves operators that are a direct sum of two infinitesimal generators of C0-semigroups of negative exponential type, one of which has support on the negative half line and the other on the positive half line.
Deviations from equilibrium were tested with Fu's Fs [ 63] neutrality tests based on infinite-site model without recombination.
In this paper, we will give a general definition of restricted invertibility for operators on infinite dimensional Hilbert spaces based on the notion of density from frame theory.
The design is based on an infinite-dimensional Hilbert state-space representation of the coupled system.
The design is based on an infinite-dimensional state-space representation of the system in a Hilbert space and the well-known operator Riccati equation (ORE) method.
The approach is based on an infinite-dimensional Hilbert state-space description of the system and the well-known operator Riccati equation (ORE).
The proposed method is based on an infinite-dimensional state-space representation of the PDAE system which is generated by a transport operator.
The mesh independence principle relies on infinite dimensional convergence results for predicting the convergence properties of the discrete finite-dimensional method.
It is based on a dynamic infinite dimensional model of the cure in one spatial domain, which aims to represent the evolution of the temperature and the degree of cure during the cure under infrared flow.
Based on the exact (infinite dimensional) process model we describe a robust controller design scheme.
