Controllability of Deep-Coupling Dynamical Networks

Wu, Jiening; Li, Xiang; Chen, Guanrong

doi:10.1109/tcsi.2020.2999451

Cited by 22 publications

(6 citation statements)

References 27 publications

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“…As a premise for subsequent analysis, a more general result is given at first. Similar to the necessary and sufficient controllability condition for the CLTI system (2-3) in [23], here a sufficient condition is derived for the multilayer networked sampled-data system (4-5). The lack of necessity is because the reachable subspace and controllable subspace of the discrete-time system are not equivalent.…”

Section: General Multi-layer Networked Sampled-data Systemsmentioning

confidence: 99%

“…And in [22], a modified controllability condition is developed, where the diagonalizability requirement for the topology matrix of composite networks is removed. The collective effects of intra-layer couplings and inter-layer dynamics on controllability of deep-coupling networks is explored in [23], and furthermore, different coupling modes are considered in [24] to represent multiple connection structures of the network.…”

Section: Introductionmentioning

confidence: 99%

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Controllability of Multilayer Networked Sampled-data Systems

Yang¹,

Wang²,

Wang³

2022

Preprint

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This paper explores the state controllability of multilayer networked sampled-data systems with inter-layer couplings, where zero-order holders (ZOHs) are on the control and transmission channels. The effects of both single-and multi-rate sampling on controllability of multilayer networked linear time-invariant (LTI) systems are analyzed, with some sufficient and/or necessary controllability conditions derived. Under specific conditions, the pathological sampling of single node systems could be eliminated by the network structure and inner couplings among different nodes and different layers. The representative drive-response inter-layer coupling mode is studied, and it reveals that the whole system could be controllable due to the inter-layer couplings even if the response layer is uncontrollable itself. Moreover, simulated examples show that the modification of sampling rate on local channels could lay a positive or negative effect on the controllability of the whole system. All the results indicate that the controllability of the multilayer networked sampled-data system is collectively affected by mutually coupled factors.

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Section: General Multi-layer Networked Sampled-data Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Controllability of Multilayer Networked Sampled-data Systems

Yang¹,

Wang²,

Wang³

2022

Preprint

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“…[17,18]), controllability (Refs. [19]). Li et al [15] proposed a scheme based on an aperiodically intermittent pinning control to achieve cluster exponential synchronization in the two-layer complex network with time-varying delays and deduced some conditions for cluster synchronization.…”

Section: Introductionmentioning

confidence: 99%

Target layer state estimation in multi-layer complex dynamical networks considering nonlinear node dynamics

Wu 吴,

Wang 王,

Jiang 蒋

2024

Chinese Phys. B

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In many engineering networks, only a part of target state variables are required to be estimated. On the other hand, multi-layer complex network exists widely in practical situations. In this paper, the state estimation of target state variables in multi-layer complex dynamical networks with nonlinear node dynamics is studied. A suitable functional state observer is constructed with the limited measurement. The parameters of the designed functional observer are obtained from the algebraic method and the stability of the functional observer is proven by the Lyapunov theorem. Some necessary conditions that need to be satisfied for the design of the functional state observer are obtained. Different from previous studies, in the multi-layer complex dynamical network with nonlinear node dynamics, the proposed method can estimate the state of target variables on some layers directly instead of estimating all the individual states. Thus, it can greatly reduce the placement of observers and computational cost. Numerical simulations with the three-layer complex dynamical network composed of three-dimensional nonlinear dynamical nodes are developed to verify the effectiveness of the method.

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“…The controllability of heterogeneous networked systems was investigated in [27]. The controllability conditions for networked systems with more complicated structure, such as deep-coupling networks [28] and Kronecker product networks [29] were also derived.…”

Section: Introductionmentioning

confidence: 99%

Controllability of Networked Sampled-data Systems

Yang¹,

Wang²,

Wang³

2022

Preprint

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The controllability of networked sampled-data systems with zero-order samplers on the control and transmission channels is explored, where single-and multi-rate sampling patterns are considered, respectively. The effects of sampling on controllability of networked systems are analyzed, with some sufficient and/or necessary controllability conditions derived. Different from the sampling control of single systems, the pathological sampling of node systems could be eliminated by the network structure and inner couplings under some conditions. While for singular topology matrix, the pathological sampling of single nodes will cause the entire system to lose controllability. Moreover, controllability of networked systems with specific node dynamics will not be affected by any periodic sampling. All the results indicate that whether a networked system is under pathological sampling or not is jointly determined by mutually coupled factors.

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Controllability of Deep-Coupling Dynamical Networks

Cited by 22 publications

References 27 publications

Controllability of Multilayer Networked Sampled-data Systems

Controllability of Multilayer Networked Sampled-data Systems

Target layer state estimation in multi-layer complex dynamical networks considering nonlinear node dynamics

Controllability of Networked Sampled-data Systems

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