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Full-Text Articles in Controls and Control Theory
Controllability And Observability Of The Discrete Fractional Linear State-Space Model, Duc M. Nguyen
Controllability And Observability Of The Discrete Fractional Linear State-Space Model, Duc M. Nguyen
Masters Theses & Specialist Projects
This thesis aims to investigate the controllability and observability of the discrete fractional linear time-invariant state-space model. First, we will establish key concepts and properties which are the tools necessary for our task. In the third chapter, we will discuss the discrete state-space model and set up the criteria for these two properties. Then, in the fourth chapter, we will attempt to apply these criteria to the discrete fractional model. The general flow of our objectives is as follows: we start with the first-order linear difference equation, move on to the discrete system, then the fractional difference equation, and finally …