Sentence examples for a finite spectrum from inspiring English sources

This paper presents a Finite Spectrum Assignment (FSA) with a generalized feedforward control for Linear Time-Invariant (LTI) systems with input delay and bounded unmeasured disturbances.

Its delay distributions are designed to compensate for the plant model delays with the aim to endow the control system with a finite spectrum of eigenvalues in spite of the infinite original spectrum of the plant.

This paper applies the block control method to design a decomposed finite spectrum assignment control law suitable for multivariable linear time-delay systems.

Under some suitable regularity assumptions, it is known that a positive commutation relation between U and an auxiliary self-adjoint operator A defined on H allows to prove that the spectrum of U has locally no singular continuous spectrum and a finite point spectrum.

Let (S_mu ) be a singular inner function with finite spectrum (rho (S_mu )).

We first show that the integral cross-term forwarding produces a feedback law that achieves finite spectrum of the closed loop system.

In this note, we continue this study by showing, with the help of a new equivalence relation, that every operator whose spectrum is uncountable, as well as every nonalgebraic operator with finite spectrum, has a hyperlattice (i.e., lattice of hyperinvariant subspaces) that is isomorphic to the hyperlattice of a C00, quasidiagonal, (BCP -operator whose spectrum is the closed unit disc.

Let B be an operator with a finite negative spectrum.

In order to the operator L to have only a finite negative spectrum, it is sufficient that condition (9) be satisfied.

The model reduction technique as a feedback design approach for linear systems with input delays achieves finite spectrum assignment of the closed-loop system in a delay free form.

In our previous work, a sliding mode control design method combining with the finite spectrum assignment has been developed.