Lj. T. Grujić

TL;DR: In this paper, the authors extended the application of Lyapunov's theory to stability analysis of large-scale dynamic systems by redefining interconnection functions among the subsystems according to interconnection matrices, which can be used to determine connective asymptotic stability of large scale systems under arbitrary structural perturbations.

TL;DR: In this paper, a new approach is proposed to an advantageous application of both vector Lyapunov functions and vector norms to aggregation of large-scale systems, which reduces the stability test to verification of either the Popov criterion or stability of constant matrices of order reduced to the number equal to, or possibly less than, the number of subsystems.

TL;DR: In this article, the authors developed conditions under which exponential stability of a composite discrete system is implied by the stability of its subsystems and the nature of their interactions, by testing positive definiteness property of a real symmetric matrix the dimension of which is equal to the number of subsystems.

TL;DR: In this paper, sufficient conditions are given for both exponential and asymptotic stability of time-varying non-linear large-scale systems composed of stable and unstable subsystems.

TL;DR: In this article, the concept of absolute tracking is introduced for Lur'e control systems subjected to immeasurable disturbances and immeasureable command inputs, and it is shown that the tracking characteristics of closed-loop control systems with single nonlinearities can be established on the basis of the absolute stability characteristics of associated free systems.