Fabrication methods for a 3D periodic nanostructure with excellent and unique properties for various applications, such as photonic and phononic crystals, have attracted considerable interest. Templating processes using colloidal crystals have been proposed to create nanoshell-based 3D structures over a large area with ease. However, there are technical limitations in structural design, resulti...

In this paper we study the null-controllability of a beam equation with hinged ends and structural damping, the damping depending on a positive parameter. We prove that this system is exactly null controllable in arbitrarily small time. This result is proven using a combination of Inghamtype inequalities, adapted for complex frequencies, and exponential decay on various frequency bands. We then...

We consider minimal controllability problems (MCPs) on linear structural descriptor systems. address two of determining the minimum number input nodes such that a system is structurally controllable. show MCP0 for systems can be solved in polynomial time. This same as existing results typical time invariant (LTI) However, derivation result considerably different because technique cannot used In...

Two of the fundamental problems of control systems theory are controllability and observability, and designing control systems so that these properties can be satisfied or approximated sufficiently. However, it is prudent to assume that attackers will not only be able to subvert measurements but also control. Moreover, advanced adversaries with an understanding of the control system may seek to...

The interactions between fundamental life molecules, people and social organisations build complex architectures that often result in undesired behaviours. Despite all of the advances made in our understanding of network structures over the past decade, similar progress has not been achieved in the controllability of real-world networks. In particular, an analytical framework to address the con...

Liu et. al. recently proposed a minimum number of driver nodes, ND, needed to obtain full structural controllability over a directed network [1]. Driver nodes are unmatched nodes, from which there are directed paths to all matched nodes. Their most important assertion is that a system’s controllability is to a great extent encoded by the underlying network’s degree distribution, P (kin, kout). ...