The main objective of this article is to review the major progress that has been made on controllability of dynamical systems over the past number of years. Controllability is one of the fundamental concepts in the mathematical control theory. This is a qualitative property of dynamical control systems and is of particular importance in control theory. A systematic study of controllability was ...

Controllability of nonlinear systems represented by ordinary differential equations in infinite-dimensional spaces has been extensively studied by several authors. Naito [12,13] has studied the controllability of semilinear systems whereas Yamamoto and Park [19] discussed the same problem for parabolic equation with uniformly bounded nonlinear term. Chukwu and Lenhart [3] have studied the contr...

Steering a complex system towards a desired outcome is a challenging task. The lack of clarity on the system’s exact architecture and the often scarce scientific data upon which to base the operationalisation of the dynamic rules that underpin the interactions between participant entities are two contributing factors. We describe an analytical approach that builds on Fuzzy Cognitive Mapping (FC...

A dynamical system is controllable if by imposing appropriate external signals on a subset of its nodes, it can be driven from any initial state to any desired state in finite time. Here we study the impact of various network characteristics on the minimal number of driver nodes required to control a network. We find that clustering and modularity have no discernible impact, but the symmetries ...

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). ...

In this paper, the controllability issues for discrete-time linear systems with delay in state are addressed. By introducing a new concept, the minimum controllability realization index (MinCRI), the controllability feature of delay systems is discussed. It is proved that the MinCRI of a system with state delay exists and is finite. Based on this result, a necessary and sufficient condition for...

ôbjective: this research was conducted to study the relationship between attribution and academic procrastination in üniversity students. methods: the subjects were 203 undergraduate students, 55 males and 148 females, selected from ënglish and french language and literature students of tabriz üniversity. data were gathered through procrastination âssessment scale-student (pâss) and çausal dime...

Linear, continuous stochastic dynamical systems with multiple delays in control are studied in the paper. Their relative stochastic controllability with constrained control is discussed. The definitions of various type of constrained relative and absolute stochastic controllability for linear systems with delays in control are introduced. Criteria of relative and absolute stochastic controllabi...

In order to explore the essence of structural controllability, structural controllability of inverted pendulum is analyzed in this presented study and a sufficient controllability condition of a class of perturbed linear system is obtained, which is essential to prove the structural controllability for the perturbed inverted pendulum. Two different structured models of inverted pendulum are con...

In the paper we consider a problem of controllability of discrete time linear systems endowed with randomly jumping parameters which can be described by finite state Markov chain. An equivalence of three concepts of controllability is shown. Moreover necessary and sufficient conditions for all of them are presented. Key-Words: Jump linear systems, controllability, stabilizability, Markov proces...