Despite important advances in control theory, several questions regarding the control of complex networks are largely unexplored, as, for instance, the relation between network topology and its controllability degree. In existing frameworks of structural or exact controllability, the ability to. Physical controllability of complex networks and control of. Egerstedt, controllability characterizations of leaderbased swarm interactions, aaai. Sorrentino f, di bernardo m, garofalo f, chen g, controllability of complex networks. Optimizing controllability of complex networks by minimum structural perturbations. Previous studies have shown that an appropriate directional assignment can improve structural controllability. The international workshop on complex networks and their applications aims at bringing together researchers from different scientific communities working on areas related to complex networks. Physical controllability of complex networks asu digital. The presented results help us better understand the controllability of complex networks and design an efficient attack strategy against network control. Complex networks are ubiquitous, they are found in natural, social and manmade systems, such as generegulatory networks and mobile sensor networks.
Structural controllability of complex networks based on preferential. A combined algorithm for analyzing structural controllability. Generating an epub file may take a long time, please be patient. For example, a cellular system controls a series of chemical reactions during its division to guarantee sufficient genetic materials in each daughter cell 1,2,3. Controllability metrics, limitations and algorithms for complex networks fabio pasqualetti, sandro zampieri, and francesco bullo abstractthis paper studies the problem of controlling complex networks, that is, the joint problem of selecting a set of control nodes and of designing a control input to steer a network to a target state. The ultimate proof of our understanding of natural or technological systems is reflected in our ability to control them. It is interesting to point out that in the frequency domain there exists a very powerful and simple theorem that gives a single condition for both the controllability and the observability of a. Comment on controllability of complex networks with nonlinear. Recent efforts have led to theoretical frameworks of controllability to fully control a network through steering a minimum set of driver nodes.
Exact controllability of complex networks file exchange. The need to control is ubiquitous in many complex systems. A company controls the dynamics of information flow for efficient task execution or innovation 4. August 2429, 2014 recovering the controllability of complex networks jin ding, yongzai lu, fellow, ieee, jian chu state key laboratory of industrial control technology, institute of cybersystems and control, zhejiang university, 310027, hangzhou, p. Pdf controllability of complex networks researchgate. Controllability describes our ability to guide a dynamical system from any initial state to any desired final state in finite time, with a suitable choice of inputs. Cort es uc san diego controllability and identi cation of complex networks october 23, 2015 7 40 reachability metrics for bilinear control systems how easydi cult to control is a given bilinear control system. Global pinning controllability of complex networks. Controllability of complex networks with unilateral inputs. Barabasi 1,2,5 the ultimate proof of our understanding of natural or technological systems is reflected in our ability to control them. Optimization of controllability and robustness of complex. Controllability metrics, limitations and algorithms for.
Exact controllability of complex networks nature communications. Pdf to text batch convert multiple files software please purchase personal license. Optimizing controllability of complex networks by minimum structural perturbations wenxu wang, 1, 2 xuan ni, yingcheng lai, 2, 3 and celso grebogi 1 department of systems science, school of management and center for complexity research. Some networks may be easy to control algorithmically but hard for human operators to control. If you have a disability and are having trouble accessing information on this website or need materials in an alternate format, contact web.
For instance, in gene regulatory networks determin. Especially, research on robustness and controllability of the network indicate the close correlation to the properties of complex networks such as scalefree, smallworld, etc. Their approach is based on the identification of a subset of nodes called driver nodes in a. In our work we apply the various tools developed to. Liu et al controllability of complex networks sandbox. Controllability and observability in complex networks the effect of. They develop analytical tools to study the controllability of an arbitrary complex directed network using both model and real systems, ranging from regulatory, neural and metabolic pathways in. In sum, we study the control centrality of single node in complex networks and find that it is related to the underlying hierarchical structure of networks. Controllability and identification of complex networks. Physical controllability of complex networks and control of nonlinear dynamical networks yingcheng lai arizona state university collaborators. Wang x f, chen g, pinning control of scalefree dynamical networks, physica a, 310. Complex networks in which inputs are naturally unilateral occur in many other domains, such as for instance in transportation, in trade, or in power networks, see table 1 for more motivating examples.
Network controllability is concerned about the structural controllability of a network. Optimizing controllability of complex networks by minimum structural. In existing frameworks of structural or exact controllability, the ability to steer a complex network toward any desired state. The ability to control complex networks is of utmost. This article is from nature communications, volume 4. Unfortunately, in many applications, networks are often subject to certain unavoidable disturbances and noise. Here we develop analytical tools to study the controllability of an arbitrary complex directed network, identifying the set of driver nodes with timedependent. May 11, 2011 they develop analytical tools to study the controllability of an arbitrary complex directed network using both model and real systems, ranging from regulatory, neural and metabolic pathways in. Controllability in cancer metabolic networks according to. Even if all weights are known, a bruteforce search requires us to compute the rank ofcfor 2n2 1 distinct combina. It is interesting to point out that in the frequency domain there exists a very powerful and simple theorem that gives a single condition for both the controllability and the observability of a system. Biological physics, complex systems, nonlinear dynamics i. Control capacity and a random sampling method in exploring. Most of the results on pinning controllability are based on the assumption that the dynamics of the network is deterministic and noisefree.
Control capacity and a random sampling method in exploring controllability of complex networks tao jia 1, 4, 5 and albertlaszlo barabasi a, 1, 2, 3 1 center for complex network research and department of physics, northeastern university, boston, massachusetts 02115, usa. Input is an adjacency matrix directed or undirected. Studying the controllability of biomolecular networks can result in profound knowledge about molecular biological systems. By means of simulations, we show that the degree descendi. Functional target controllability of networks archive ouverte hal. Pinning control and controllability of complex networks. Controlling complex networks is of paramount importance in science and engineering. Hill research school of information sciences and engineering, the australian national university and.
Asymmetric complex networks for asymmetric networks the situation is more complexfor isotropic networks networks with no preferential directions it seems that the situation is the same as for symmetric networks, namely they are dif. Bassett2,6 cognitive function is driven by dynamic interactions between largescale. However, there is no comprehensive and easytouse platform for analyzing controllability of biomolecular networks although various algorithms for analyzing complex network controllability have been proposed recently. Recently, controllability of complex networks has attracted enormous attention in various fields of science and engineering. What links here related changes upload file special pages permanent link page. Pinning controllability of complex networks with community. Although control theory offers mathematical tools for steering engineered and natural systems towards a desired state, a framework to control complex self. China 2school of electrical, computer and energy engineering, arizona state university, tempe, arizona 85287, usa. Also controllability with constrained inputs has a long history, see chapter 5 of jacobson 14 for a survey focusing on driven control systems. Recovering the controllability of complex networks.
Introduction an observer model of a natural system has many. How can this distinction be quantified in a precise manner. Minimum energy control for complex networks scientific reports. Li x, wang x f, chen g, pinning a complex dynamical network to its equilibrium, ieee trans. Observability and controllability of nonlinear networks. This definition agrees well with our intuitive notion of control.
Zhengzhong yuan, chen zhao, zengru di, wenxu wang, yingcheng lai download pdf. There is little e ort being devoted to developing e ective and e cient avenues to recover the damaged controllability of networks caused by malicious attacks or random failures, e. Despite the recent development of structural controllability theory, we continue to lack a framework to control. Optimizing controllability of complex networks by minimum. In existing frameworks of structural or exact controllability, the ability to steer a complex network toward any desired state is measured by the minimum number of required driver nodes. Control capacity and a random sampling method in exploring controllability of complex networks. Controllability and observability have been introduced in the state space domain as pure time domain concepts. Despite the recent development of structural controllability theory, we continue to lack a. The controllability of general directed and weighted complex networks has. The controllability of general directed and weighted complex networks has recently been the. A challenging problem in network science is to control complex networks. Controllability of complex networks via nature abstract. Control centrality and hierarchical structure in complex. Network theory based controllability and observability analysis have become widely used techniques.
In a supply chain, cost is reduced by controlling the commodity flow 5. Liu et al controllability of complex networks sandbox slides. The ability to control complex networks via external inputs is fundamental to guarantee reliable and efcient network operation. In this paper, we develop an exact controllability framework as an alternative to the structural controllability framework, which offers a universal tool to treat the controllability of complex networks with arbitrary structures and link weights, including directed, undirected, weighted and unweighted networks with or without selfloops. Cort es uc san diego controllability and identi cation of complex networks october 23, 2015 7 40 reachability metrics for bilinear control systems how easydi cult. Physical controllability of complex networks and control. A consequence is that even if a network is controllable with a certain set of driver nodes, the control energy that those nodes require may result. A complex network, in context of network theory is a graph with nontrivial topological features. Controllability of complex networks references 3 of 12 from liu et al1 networks are either unknown for example regulatory networks or are known only approximately and are time dependent for example internet traffic. Article received 7 apr 2015 accepted 19 aug 2015 published 1 oct 2015 controllability of structural brain networks shi gu1,2, fabio pasqualetti3, matthew cieslak4, qawi k.
For anisotropic networks networks with a preferential direction it seems. Despite the recent development of structural controllability theory, we. Abstractcontrolling complex networks is of paramount importance in science and engineering. Proceedings of the 19th world congress the international federation of automatic control cape town, south africa. Controllability of complex networks via pinning francesco sorrentino,1, mario di bernardo,1 franco garofalo,1 and guanrong chen2 1university of naples federico ii, naples 80125, italy 2city university of hong kong, kowloon, hong kong, peoples republic of china received 8 august 2006. Sep 12, 20 controlling complex networks is of paramount importance in science and engineering. In this paper, we study the controllability of networks with different numbers of communities and various strengths of community structure.
Our research progress wang x f, chen g, pinning control of scalefree dynamical networks, physica a, 310. How to optimize structural controllability has also become a significant issue. On the structural controllability of networks of linear. The algorithm addresses the two fundamental properties to guarantee structural controllability of a system. Controllability of real networks n d n d n explore the controllability of several real networks.
1211 67 154 1118 1426 1445 436 36 316 145 480 756 631 695 1530 1088 565 1307 1227 721 1363 683 479 986 1343 509 437 1261 966 372 134 713