By Stefan Domek,Pawel Dworak

 This quantity is dedicated to presentation of latest result of learn on platforms of non-integer order, known as additionally fractional platforms. Their research and sensible implementation were the article of spontaneous improvement for a number of final a long time. The fractional order types can depict a actual plant greater than the classical integer order ones. This covers diversified examine fields equivalent to insulator homes, visco-elastic fabrics, electrodynamic, electrothermal, electrochemical, fiscal strategies modelling and so on. nevertheless fractional controllers frequently outperform their integer order opposite numbers. This quantity includes new rules and examples of implementation, theoretical and natural useful points of utilizing a non-integer order calculus. it truly is divided into 4 components protecting: mathematical basics, modeling and approximations, controllability, observability and balance difficulties and useful functions of fractional keep an eye on structures. the 1st half expands the bottom of instruments and techniques of the mathematical foundation for non-integer order calculus. half specializes in new equipment and advancements in strategy modeling and fractional derivatives approximations. within the 3rd half a host of papers which elevate difficulties of controllability, observability and balance of non-integer order platforms is equipped. half 4 is dedicated to presentation of other fractional order keep an eye on functions. This publication was once created due to many specialists within the box of fractional calculus: authors, nameless referees whose reviews allowed us to enhance the ultimate kind of the papers and lively and encouraging dialogue of the members of RRNR'2015, the seventh convention on Non-Integer Order Calculus and Its functions that used to be equipped through the school of electric Engineering, West Pomeranian college of know-how, Szczecin, Poland.

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