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IEEE SIGNAL PROCESSING LETTERS, VOL. 7, NO. 8, AUGUST 2000 219 Systems with Exponential Eigenfunctions and
 

Summary: IEEE SIGNAL PROCESSING LETTERS, VOL. 7, NO. 8, AUGUST 2000 219
Systems with Exponential Eigenfunctions and
Exponential-Input/Constant-Output Operators
Pedro M. Q. Aguiar and Francisco M. Garcia
Abstract--Recently, Vaidyanathan [1] and Ferreira [2] reported
on nonlinear systems with exponential eigenfunctions. In this
letter, we introduce a larger class of such systems, generated from
a special family of exponential-input/constant-output operators
that capture exponential signals from general inputs. In particular,
we extend the classes of systems with exponential eigenfunctions
defined in [1], [2] to include causal nonhomogeneous time-varying
systems.
Index Terms--Causality, eigenfunctions, exponential-input/con-
stant-output operators, exponentials, homogeneous time-invariant
systems, nonhomogeneous systems, nonlinear systems.
I. INTRODUCTION
THE WELL-known exponential eigenfunction (EE) prop-
erty of linear time-invariant (LTI) systems extends to ho-
mogeneous time-invariant (HTI) systems, as shown in a recent
letter [1]. Additionally, that letter raised the challenge of finding

  

Source: Aguiar, Pedro M. Q. - Institute for Systems and Robotics (Lisbon)

 

Collections: Engineering