Vector coding algorithms for multidimensional discrete Fourier transform

Chen, Zhaodou; Zhang, Lijing

doi:10.1016/j.cam.2006.11.025

Cited by 8 publications

References 17 publications

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Order‐dependent and delay‐dependent conditions for stability and stabilization of fractional‐order time‐varying delay systems using small gain theorem

Jin

2022

Asian Journal of Control

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In this paper, the stability and stabilization problems for fractional‐order time‐varying delay systems are investigated. Firstly, by casting the stability problem as one of robust stability analysis problems and utilizing the small gain theorem, an order‐dependent and delay‐dependent stability condition for fractional‐order time‐varying delay systems is developed. Taking advantage of the information of order and delay, the stability condition is less conservative than the existing results. Then, state feedback controllers that stabilize fractional‐order time‐varying delay systems are developed. To tackle the computational difficulty of the controller design method, a local optimization algorithm is proposed. Finally, numerical examples are provided to illustrate that the proposed criteria are valid and less conservative than the existing ones.

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Order‐dependent and delay‐dependent conditions for stability and stabilization of fractional‐order time‐varying delay systems using small gain theorem

Jin

2022

Asian Journal of Control

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Order‐dependent LMI‐based stability and stabilization conditions for fractional‐order time‐delay systems using small gain theorem

Jin

2022

Intl J Robust & Nonlinear

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In this article, based on small gain theorem, the stability, and stabilization problems for fractional-order time-delay systems are investigated. First, one order-dependent and delay-independent stability condition, and two order-dependent and delay-dependent stability conditions of nominal fractional-order time-delay systems are derived by developing different feedback loop structures. Then, by employing the proposed order-dependent stability conditions, the robust stability conditions for fractional-order time-delay systems with norm-bounded uncertainties are given. Moreover, state feedback controllers that robustly stabilize fractional-order time-delay systems with norm-bounded uncertainties are obtained. The proposed results are in terms of linear matrix inequalities. With the help of LMI solvers, these criteria can be easily verified. Finally, numerical examples are provided to illustrate that the proposed criteria are valid and less conservative than the existing ones.

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Modern Neural Methods for Function Approximation

Iatan

2016

Issues in the Use of Neural Networks in Information Retrieval

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Vector coding algorithms for multidimensional discrete Fourier transform

Cited by 8 publications

References 17 publications

Order‐dependent and delay‐dependent conditions for stability and stabilization of fractional‐order time‐varying delay systems using small gain theorem

Order‐dependent and delay‐dependent conditions for stability and stabilization of fractional‐order time‐varying delay systems using small gain theorem

Order‐dependent LMI‐based stability and stabilization conditions for fractional‐order time‐delay systems using small gain theorem

Modern Neural Methods for Function Approximation

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