# Output-feedback synchronizability of linear time-invariant systems

@article{Xia2016OutputfeedbackSO, title={Output-feedback synchronizability of linear time-invariant systems}, author={Tian Xia and Luca Scardovi}, journal={Syst. Control. Lett.}, year={2016}, volume={94}, pages={152-158} }

Abstract The paper studies the output-feedback synchronization problem for a network of identical, linear time-invariant systems. A criterion to test network synchronization is derived and the class of output-feedback synchronizable systems is introduced and characterized by sufficient and necessary conditions. In particular it is observed that output-feedback stabilizability is sufficient but not necessary for output-feedback synchronizability. In the special case of single-input single-output… Expand

#### 11 Citations

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It is shown that networks of passive systems synchronize for any directed and rooted communication topology, thus generalizing a well known result on synchronization in networks of single integrators and proving synchronization is proven for arbitrarily large subsets of directed and root-based communication graphs. Expand

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- 2017 American Control Conference (ACC)
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Under the solvability condition, a design for a protocol which achieves synchronization of homogeneous multi-agent systems (MAS) with partial-state coupling, where the communication network is directed and weighted is derived, utilizing H∞ optimal control technique. Expand

Solvability conditions and design for state synchronization of multi-agent systems

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- ACC
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Under the solvability condition, conditions for the existence of a protocol which achieves synchronization of homogeneous multi-agent systems (MAS) with partial-state coupling, where the communication network is directed and weighted are derived. Expand

Regulated state synchronization of homogeneous multiagent systems with partial‐state coupling via low‐gain adaptive protocol

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- International Journal of Robust and Nonlinear Control
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An algebraic Riccati equation–based low‐gain adaptive nonlinear dynamic protocol design is presented to achieve the regulated state synchronizations for continuous‐time homogeneous multiagent systems with weakly unstable agents. Expand

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- IEEE Control Systems Letters
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This letter identifies a class of systems for which this characterization of Laplacian matrix properties of isolated systems remains valid and is used to study synchronization of coupled heat equations. Expand

Synchronization of Identical Oscillators Under Matrix-Weighted Laplacian With Sampled Data

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- IEEE Transactions on Network Science and Engineering
- 2021

In this paper, Necessary and sufficient conditions depending on the coupling gains, the sampling period, and the spectra of the matrix-weighted Laplacian, are established for achieving synchronization of the oscillators under undirected and directed graph topologies. Expand

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- Computer Science
- IEEE Control Systems Letters
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A continuous-time distributed control protocol to drive the value of the state variables of a network toward the Fiedler vector, up to a scale factor, which is unbiased and robust with respect to the initial network state. Expand

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This article introduces the idea of “asymptotic” resilience, i.e., a measure of robustness to disturbances, as the network size increases, keeping the underlying structure invariant, and forms a hierarchy of resilience for different network topologies. Expand

Local and Distributed Rendezvous of Underactuated Rigid Bodies

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- IEEE Transactions on Automatic Control
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The rendezvous problem for a network of underactuated rigid bodies such as quadrotor helicopters is solved, and each vehicle can compute its own control input using only an on-board camera and a three-axis rate gyroscope. Expand

Polarizability, Consensusability, and Neutralizability of Opinion Dynamics on Coopetitive Networks

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- IEEE Transactions on Automatic Control
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This work investigates the solvability of opinion formation problems in heterogeneous systems with nonidentical dynamics and derives sufficient and/or necessary criteria for heterogeneous network polarizability, consensusability, and neutralizability. Expand

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