Surrogate methods for linear inequalities

Oko, S.O.

doi:10.1007/bf00940518

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Discrete-time Zhang Dynamics1

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Cited by 15 publications

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“…The derivation of the DTZD models using nonlinear activation functions can also be done, e.g., from CTZD model (10), but left to interested readers.…”

Section: Discrete-time Zhang Dynamicsmentioning

confidence: 99%

Zhang dynamics solving scalar-valued time-varying linear inequalities using different activation functions

Zhang

Fen

2011

2011 IEEE 5th International Conference on Cybernetics and Intelligent Systems (CIS)

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In this paper, we propose a novel Zhang dynamics (ZD) for online solution of scalar-valued time-varying linear inequality. The design method of such a ZD model, which is based on an exponent design formula, can guarantee smooth convergence performance. In addition, three different activation functions are exploited in the proposed ZD models for solving scalar-valued time-varying linear inequality. For possible digital simulation and/or hardware implementation, the corresponding discrete-time ZD models are derived and proposed as well.Through illustrative examples and verifications, we demonstrate and verify the efficacy and superiority of the proposed continuoustime and discrete-time ZD models.

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“…The derivation of the DTZD models using nonlinear activation functions can also be done, e.g., from CTZD model (10), but left to interested readers.…”

Section: Discrete-time Zhang Dynamicsmentioning

confidence: 99%