The paper is concerned with time-delay linear fractional systems with multiple delays in the state. A formula for the solution of the discussed systems is presented and derived using the Laplace transform. Definitions of relative controllability with and without constraints for linear fractional systems with delays in the state are formulated. Relative controllability, both with and without con...

Driver related evaluation of Advanced Driver Assistance Systems (ADAS) needs to address controllability, effectiveness and user acceptance, which are to some extend interfering with each other. The state of the art in the controllability assessment is currently defined by the Code of Practice of the RESPONSE 3 project which focuses on the driver-systeminteraction with single assistance function...

Introduction: Recent reports have shown that rare fluctuations in cardiac cycles are ‘forgotten’ quickly in healthy individuals and it is possible to quantify the “memory length” of a physiological time-series using an inverse statistical approach. Methods: In the present study, we assessed the effect of aging on memory length in cardiac rhythm. Results: There was a long...

This article is devoted to study the null controllability of evolution equations with memory terms. The problem is challenging not only because the state equation contains memory terms but also because the classical controllability requirement at the final time has to be reinforced, involving the contribution of the memory term, to ensure that the solution reaches the equilibrium. Using duality...

In this paper, the structural controllability of switched linear systems is investigated. In particular, switched linear systems with independent subsystem models are studied. The structural controllability is a generalization of the traditional controllability concept for dynamical systems, and purely based on the graphic topologies among state and input vertices. First, two kinds of graphic r...

This paper discusses the controllability problem of gene regulation networks from the systems and control point of view. First, we consider what kind of controllability problems are useful for analyzing and controlling gene networks. Next, based on a probabilistic approach for the controllability analysis of hybrid dynamical systems, this paper provides a method to solve a kind of controllabili...

a r t i c l e i n f o a b s t r a c t MSC: 35L65 93B05 93C20 Keywords: State controllability Nodal profile controllability Conservation law Nonlocal velocity Re-entrant manufacturing system In this paper, we study the state controllability and nodal profile controllability for a scalar conservation law, with a nonlocal velocity, that models a highly re-entrant manufacturing system as encountere...

Observability and controllability are vitally important in networks, but almost all of the present theory was developed for linear networks without symmetries. To advance beyond the study of such generic networks, we quantify observability and controllability in small (3 node) nonlinear neuronal networks as a function of 1) the connection topology and symmetry, and 2) the measured and controlle...

This article considers the controllability problem for multi-agent systems. In particular, the structural controllability of multi-agent systems under switching topologies is investigated. The structural controllability of multi-agent systems is a generalisation of the traditional controllability concept for dynamical systems, and purely based on the communication topologies among agents. The m...

Structural controllability has been proposed as an analytical framework for making predictions regarding the control of complex networks across myriad disciplines in the physical and life sciences (Liu et al., Nature:473(7346):167-173, 2011). Although the integration of control theory and network analysis is important, we argue that the application of the structural controllability framework to...