Iterative learning control for equations with fractional derivatives and impulses
The monograph addresses the method of iterative learning control (ILC) suggested by \textit{M. Uchiyama} in the end of 1970s [``Formulation of high-speed motion pattern of a mechanical arm by trial'', Trans. Soc. Instrum. Control Eng. 14, No. 6, 706--712 (1978)]. The authors develop ILC for a new class of systems, namely, equations with fractional derivatives and impulses. The monograph consists of the introduction and five more chapters including Chapter~2 where elements of the ILC theory for fractional-order differential equations are given. In the 3rd chapter, a fractional multi-agent system is considered. Chapter~4 is devoted to the instantaneous impulsive differential equations. The 5th chapter contains generalizations of results of the previous chapter for the class of noninstantaneous systems. The final, 6th chapter is devoted to ILC theory for nonlinear ordinary differential inclusions and partial differential inclusion of parabolic type with noninstantaneous impulses.
nonlinear ordinary differential inclusions
scientific article; zbMATH DE number 7470395