Controllability Problem of Fractional Neutral Systems: A Survey

The following article presents recent results of controllability problem of dynamical systems in infinite-dimensional space. Generally speaking, we describe selected controllability problems of fractional order systems, including approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces, controllability of nonlinear neutral fractional impulsive differential inclusions in Banach space, controllability for a class of fractional neutral integrodifferential equations with unbounded delay, controllability of neutral fractional functional equations with impulses and infinite delay, and controllability for a class of fractional order neutral evolution control systems

New results on strong practical stability and stabilization of discrete linear repetitive processes

Discrete linear repetitive processes operate over a subset of the upper-right quadrant of the 2D plane. Theyarise in the modeling of physical processes and also the existing systems theory for them can be used toeffect in solving control problems for other classes of systems, including iterative learning control design.This paper uses a form of the generalized Kalman–Yakubovich–Popov (GKYP) Lemma to develop newlinear matrix inequality (LMI) based stability conditions and control law design algorithms for the strongpractical stability property. Relative to alternatives, the LMIs for stability have a simpler structure andit is not required to impose particular structures on the matrix variables. These properties are extendedto control law design, including those where state vector access is not required. Illustrative numericalsimulation examples conclude the paper