The memristor is also a basic electronic component,just like resistors,capacitors and inductors.It is a nonlinear device with memory characteristics.In 2008,with HP’s announcement of the discovery of the TiO2 memrist...The memristor is also a basic electronic component,just like resistors,capacitors and inductors.It is a nonlinear device with memory characteristics.In 2008,with HP’s announcement of the discovery of the TiO2 memristor,the new memristor system,memory capacitor(memcapacitor)and memory inductor(meminductor)were derived.Fractional-order calculus has the characteristics of non-locality,weak singularity and long term memory which traditional integer-order calculus does not have,and can accurately portray or model real-world problems better than the classic integer-order calculus.In recent years,researchers have extended the modeling method of memristor by fractional calculus,and proposed the fractionalorder memristor,but its concept is not unified.This paper reviews the existing memristive elements,including integer-order memristor systems and fractional-order memristor systems.We analyze their similarities and differences,give the derivation process,circuit schematic diagrams,and an outlook on the development direction of fractional-order memristive elements.展开更多
基金supported in part by the National Natural Science Foundation of China(Grant No.62171303)China South Industries Group Corporation(Chengdu)Fire Control Technology Center Project(non-secret)(Grant No.HK20-03)the National Key Research and Development Program Foundation of China(Grant No.2018YFC0830300).
文摘The memristor is also a basic electronic component,just like resistors,capacitors and inductors.It is a nonlinear device with memory characteristics.In 2008,with HP’s announcement of the discovery of the TiO2 memristor,the new memristor system,memory capacitor(memcapacitor)and memory inductor(meminductor)were derived.Fractional-order calculus has the characteristics of non-locality,weak singularity and long term memory which traditional integer-order calculus does not have,and can accurately portray or model real-world problems better than the classic integer-order calculus.In recent years,researchers have extended the modeling method of memristor by fractional calculus,and proposed the fractionalorder memristor,but its concept is not unified.This paper reviews the existing memristive elements,including integer-order memristor systems and fractional-order memristor systems.We analyze their similarities and differences,give the derivation process,circuit schematic diagrams,and an outlook on the development direction of fractional-order memristive elements.
