The theory of  continuous frames in Hilbert spaces is extended, by using the concepts of measure spaces, in order to get the results of a new application of operator theory.  The $K$-frames were  introduced by G$breve{mbox{a}}$vruta (2012) for Hilbert spaces to study atomic systems with respect to a bounded linear operator. Due to the structure of  $K$-frames, there are many differences between...

This paper addresses the problem of global output feedback, link position tracking control of robot manipulators. Specifically, a robust, Lyapunov-based controller is designed to ensure that the link position tracking error is globally uniformly ultimately bounded despite the fact that only link position measurements are available in the presence of incomplete model information (i.e., parametri...

The surface detectors of the Pierre Auger Observatory are being upgraded by adding new and replacing electronics. upgrade project, called “AugerPrime,” includes addition a small PMT to increase dynamic range particle counting, plastic scintillator above each water-Cherenkov detector improve discrimination between electromagnetic muonic shower components, radio measure emission from inclined air...

In this paper, we develop data-based methods to analyze the characteristics of linear discrete-time systems, which have unknown parameter matrices. These characteristics include output controllability, asymptotic stability of the equilibrium point, bounded-input boundedstate stability, and bounded-input bounded-output stability. Our methods only use measured state and output data to verify the ...