Improved Synchronization Analysis for Delayed Lur’e Systems Using Improved Technique

Wu, Yonggang; Xiong, Lianglin; Zhai, Guisheng; Wu, Tao

doi:10.1007/s12555-020-0111-8

Int. J. Control Autom. Syst.

2021

DOI: 10.1007/s12555-020-0111-8

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Improved Synchronization Analysis for Delayed Lur’e Systems Using Improved Technique

Yonggang Wu

Lianglin Xiong

Guisheng Zhai

et al.

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Cited by 12 publications

(2 citation statements)

References 48 publications

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“…[11]; Wu et al proposed new synchronization conditions via using an augmented Lyapunov functional in Ref. [31]; Guo et al investigated the synchronization through designing a PD controller in Ref. [8]; Huang et al gave linear matrix inequalities (LMIs)-based design method for an output-feedback synchronization controller in Ref.…”

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confidence: 99%

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Input-to-state stable synchronization for delayed Lurie systems via sampled-data control

Zhou

et al. 2023

DCDS-B

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<p style='text-indent:20px;'>This paper focuses on the input-to-state stable (ISS) synchronization issue for delayed Lurie systems via sampled-data control. Two time-dependent Lyapunov functionals are constructed for delay functions without and with differentiability restrictions, respectively. Sufficient conditions on the ISS synchronization are established via using the proposed Lyapunov functionals, the reciprocally convex-combination approach, and a few integral inequalities. The gain matrix of the needed sampled-data controller can be attained through solving a couple of linear matrix inequalities, which is numerically easy to handle. Furthermore, the present conditions are capable of ensuring the exponential synchronization of the considered Lurie systems in the absence of external disturbances. In the end, two examples are employed to demonstrate the effectiveness of the established ISS synchronization conditions.</p>

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confidence: 99%

“…It is worth mentioning here that the study of DLSs in Refs. [8,10,11,31,37] are on the basis of continuous control inputs. With the advancement of computer and communication technology, the controllers in contemporary control systems are often digitalized.…”

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confidence: 99%

Input-to-state stable synchronization for delayed Lurie systems via sampled-data control

Zhou

et al. 2023

DCDS-B

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Finite‐time synchronization of complex networks with hybrid‐coupled time‐varying delay via event‐triggered aperiodically intermittent pinning control

Liu

Chen

Qiu

2021

Math Methods in App Sciences

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This paper considers the finite‐time synchronization problem of complex networks with hybrid‐coupled time‐varying delay. We combine aperiodically intermittent pinning control method and event‐triggered control method to design the controller, which can guarantee that the states of all nodes can realize synchronization in the finite‐time. The event‐triggered mechanism is introduced according to the difference of error values between nodes and reduces the communication frequency. Besides, the pinning nodes are reselected at each triggered moment by a given algorithm. Based on the appropriate inequality scaling technique and Lyapunov function, the finite‐time synchronization criteria are obtained for the given network system model. Finally, the feasibility of the theoretical results is proved through a simulation example.

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The synchronization criteria for uncertain nonlinear Caputo–Hadamard fractional-order systems with time-delay output feedback control

Thi Hong,

Truong Thanh

2024

Rend. Circ. Mat. Palermo, II. Ser

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Improved Synchronization Analysis for Delayed Lur’e Systems Using Improved Technique

Cited by 12 publications

References 48 publications

Input-to-state stable synchronization for delayed Lurie systems via sampled-data control

Input-to-state stable synchronization for delayed Lurie systems via sampled-data control

Finite‐time synchronization of complex networks with hybrid‐coupled time‐varying delay via event‐triggered aperiodically intermittent pinning control

The synchronization criteria for uncertain nonlinear Caputo–Hadamard fractional-order systems with time-delay output feedback control

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