2020
DOI: 10.1007/s00366-020-00979-z
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Stability analysis of the particle dynamics in bat algorithm: standard and modified versions

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Cited by 8 publications
(5 citation statements)
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“…Lyapunov stability analysis is based on the idea that if the total energy in the system continuously decreases, the system will asymptotically reach the zero energy state associated with the equilibrium point. The results reveal that the Lyapunov energy function decreases with time in the stability range of the algorithm's parameters, and the particles' trajectory shows the asymptotic stability of the particle dynamics [49].…”
Section: • Stability Analysismentioning
confidence: 95%
See 1 more Smart Citation
“…Lyapunov stability analysis is based on the idea that if the total energy in the system continuously decreases, the system will asymptotically reach the zero energy state associated with the equilibrium point. The results reveal that the Lyapunov energy function decreases with time in the stability range of the algorithm's parameters, and the particles' trajectory shows the asymptotic stability of the particle dynamics [49].…”
Section: • Stability Analysismentioning
confidence: 95%
“…The success rate exceeded 70% in the trials [48]. Fozuni et al, analyzed the stability and convergence of particle dynamics in the standard BA version, addressed the limitations, and proposed new update relations [49]. In addition, the dynamics of the algorithm were investigated, and sufficient stability conditions were obtained using Lyapunov stability analysis.…”
Section: Introductionmentioning
confidence: 99%
“…Standard BAT algorithm 31 has certain inherent issues like failure to converge to global optima, multimodal optimization, poor exploration, slow rate of convergence, and no population diversity. To address these issues, various BAT variants have been introduced by researchers across the globe like Adaptive multi-swarm bat algorithm (AMBA) 32 , Bat with Mutation 33 , BATDNN 34 , Binary Bat algorithm, Differential Operator & Levy flights Bat 32 , Directed Artificial Bat Algorithm (DABA), Double- subpopulation Lévy flight bat algorithm (DLBA) 35 , Dynamic Virtual Bats Algorithm (DVBA) 36 , Improved Bat algorithm (cost estimation) 37 , Improved dynamic virtual bats algorithm with probabilistic selection 38 , Island multi populational parallel bat algorithm (IBA) 34 , Levy flight-based bat algorithm (LBA) 32 , LogisticBatDNN 33 , MeanBatDNN 33 , Modified Bat Algorithm (ANN) 33 , Modified Bat Algorithm (Stability Analysis) 39 , Multi-Objective bat algorithm (MOBA) 36 , Novel bat algorithm with multiple strategies coupling (mixBA) 40 , Piecewise-BatDNN 33 , shrink factor bat algorithm (SBA) 34 , Simplified Adaptive Bat based on frequency 41 , SinBatDNN 34 . Authors in Ref.…”
Section: Related Workmentioning
confidence: 99%
“…The main advantage of the bat algorithm is that it absorbs the advantages of other successful algorithms, parameter adjustment and frequency regulating, on the basis of bat individual echolocation. Literature (Shirjini et al, 2020) analyzes the convergence and stability of this algorithm in the respect of particle dynamics and investigates the dynamics of this algorithm. Literature (Osaba et al, 2016) uses this algorithm to solve the discrete combinatorial optimization problem, which is the traveling salesman problem.…”
Section: Sl-gaba Algorithmmentioning
confidence: 99%