@article{bibcite_15778,
  author = {Tadeusz Kaczorek and Jerzy Klamka and Andrzej Dzieli{\'n}ski},
  title = {Controllability of linear convex combination of linear discrete-time fractional systems},
  abstract = {<p>In this paper the controllability properties of the convex linear combination of fractional, linear, discrete-time systems are characterized and investigated. The notions of linear convex combination and controllability in the context of fractional-order systems are recalled. Then, the controllability property of such a linear combination of discrete-time, linear fractional systems is proven. Further, the reduction of an infinite problem of transition matrix derivation is reduced to a finite one, which greatly simplifies the numerical burden of the controllability issue. Examples of controllable and uncontrollable, single-input, linear systems are presented. The possibility of extension of the considerations to multi-input systems is shown.</p>
},
  year = {2022},
  journal = {Bulletin of the Polish Academy of Sciences: Technical Sciences},
  volume = {70},
  url = {http://journals.pan.pl/Content/124861/PDF/2928_BPASTS_2022_70_5.pdf},
  doi = {10.24425/bpasts.2022.143102},
  language = {eng},
}