Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems

Abstract

The concept of generalized exponential trichotomy for linear time-varying systems is investigated in relationship with the classical notion of uniform exponential trichotomy. Some key properties of generalized exponential trichotomy are explored through supplementary projections. These results are also extended to the case of projection sequences, while certain applications for adjoint systems are suggested.

Keywords

• difference equations
• (generalized) exponential trichotomy
• discrete-time linear time-varying systems
• primary 34d09, 34d05
• secondary 39a06, 93c55