In mathematics, signal processing and control theory, a pole–zero plot is a graphical representation of a rational transfer function in the complex plane which helps to convey …

May 22, 2022 · The region of convergence (ROC) for \(X(z)\) in the complex Z-plane can be determined from the pole/zero plot. Although several regions of convergence may be possible, …

Consider the following signal ow graph in order to understand the basic terminology involved here. The signal ow graph for a system is given below. The transfer function Y(s)/U(s)

Convergence plots use graphics to show how an error estimate or time step evolves during the solution process for nonlinear, time dependent, and parametric solvers. By default …

The eld of control systems deals with applying or choosing the inputs to a given system to make it behave in a certain way (i.e., make the state or output of the system follow a certain trajectory).

In this paper, we present the novel concept of convergence rate abstractions that provide a sound yet simple one-dimensional system description. This approach simplifies the stability analysis …

Feb 1, 2021 · Motivated by the success of graph theory in the analysis of autonomous nonlinear systems, this paper presents a new algorithm for computing approximations of the largest …

Dec 19, 2018 · This tutorial paper aims to explore the role of graph theory for studying networked and multi-agent systems. The session will cover basic concepts from graph th.

Abstract—The graph topology plays a central role in char-acterizing the robustness of feedback systems. In particular, it provides necessary and sufficient conditions for the transfer matrix of …

Feb 4, 2021 · First, a fixed-time consensus law for multi-agent systems interacting over an undirected graph is proposed. Although the control law in is a global stabilization control law, …