This paper analyzes the robust feedback stability of a single-input-single-output stable linear time-invariant (LTI) system against three different classes nonlinear systems using Zames–Falb multipliers. The contribution is threefold. Firstly, we identify class uncertain over which equivalent to existence an appropriate multiplier. Secondly, when restricted be static (a.k.a. memoryless), such c...

The stability of a general Linear Time-Invariant (LTI) Ultra-WideBand (UWB) Channel Impulse Response (CIR) model is investigated. Since the s-domain or z-domain function of the UWB CIR has an extremely high number of singularities, it cannot be automatically guaranteed that none of the poles falls on the right-half of the s-plane or outside the unit-circle of the z-plane. Hence the stability an...

A stability robustness test is developed for internally stable, nominal, linear time-invariant (LTI) feedback systems subject to structured, linear time-varying uncertainty. There exists (in the literature) a necessary and sufficient structured small gain condition that determines robust stability in such cases. In this paper, the structured small gain theorem is utilized to formulate a (suffic...

The objective of this paper is to make, in a simple and rigorous way, some contributions the notion output controllability. We first examine, for general linear time-invariant systems, state controllability, introduced 60s by Bertram Sarachik. More precisely, we extend Hautus test, well-known case propose controllability Gramian matrix, allowing us build continuous control achieving transfer wi...

The formation of lymph nodes is a complex process crucially controlled through triggering of LTβR on mesenchymal cells by LTα1β2 expressing lymphoid tissue inducer (LTi) cells. This leads to the induction of chemokines to attract more hematopoietic cells and adhesion molecules to retain them. Here we show that the extravasation of the first hematopoietic cells at future lymph node locations occ...

This article presents a fairly complete account on various topological and metrical aspects of feedback stabilization for single-input single-output (SISO) continuous discrete time linear time-invariant (LTI) systems. In particular, we prove that the set stabilizing output gains SISO system with n states have at most [n/2] connected components. Furthermore, our analysis yields an algorithm dete...

Abstract It is well-known that the performance of linear time-invariant (LTI) feedback control hampered by fundamental limitations. In this paper, it shown using a so-called hybrid integrator-gain system (HIGS) in controller, important LTI limitations can be overcome. particular, we show for two limitations, where overshoot step-response has to present any stabilizing controller. For each case,...

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...