Delay-dependent stability criteria of delayed positive systems with uncertain control inputs: Application in mosquito-borne morbidities control

Dianavinnarasi, J.; Cao, Yang; Raja, R.; Rajchakit, Grienggrai; Lim, Chee Peng

doi:10.1016/j.amc.2020.125210

Cited by 7 publications

(4 citation statements)

References 19 publications

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“…Our main aim is to solve the finite-time stability and global Mittag-Leffler stability problem of FODCVNNs (3). Before that, we make the following definitions and assumptions.…”

Section: Research Problemmentioning

confidence: 99%

“…Ordinary and fractional differential equations have a remarkable ability to analyze the world around us through the areas of both pure and applied mathematics. [1][2][3][4][5][6][7][8][9] Moreover, it has received enormous attention from the scientific communities of biology, economics, physics, chemistry, and engineering. [10][11][12][13][14][15][16][17][18][19][20] The greatest way to make discoveries in mathematics is to analyze the existing results by incorporating some new ideas.…”

Section: Introductionmentioning

confidence: 99%

“…Ordinary and fractional differential equations have a remarkable ability to analyze the world around us through the areas of both pure and applied mathematics 1‐9 . Moreover, it has received enormous attention from the scientific communities of biology, economics, physics, chemistry, and engineering 10‐20 .…”

Section: Introductionmentioning

confidence: 99%

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Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field

Anbalagan

Raja

Cao

et al. 2020

Math Methods in App Sciences

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Dynamics of discrete-time neural networks have not been well documented yet in fractional-order cases, which is the first time documented in this manuscript. This manuscript is mainly considered on the stability criterion of discrete-time fractional-order complex-valued neural networks with time delays. When the fractional-order holds 1 < < 2, sufficient criteria based on a discrete version of generalized Gronwall inequality and rising function property are established for ensuring the finite stability of addressing fractional-order discrete-time-delayed complex-valued neural networks (FODCVNNs). In the meanwhile, when the fractional-order holds 0 < < 1, a global Mittag-Leffler stability criterion of a class of FODCVNNs is demonstrated with two classes of neuron activation function by means of two different new inequalities, fractional-order discrete-time Lyapunov method, discrete version Laplace transforms as well as a discrete version of Mittag-Leffler function. Finally, computer simulations of two numerical examples are illustrated to the correctness and effectiveness of the presented stability results.

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“…Our main aim is to solve the finite-time stability and global Mittag-Leffler stability problem of FODCVNNs (3). Before that, we make the following definitions and assumptions.…”

Section: Research Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field

Anbalagan

Raja

Cao

et al. 2020

Math Methods in App Sciences

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“…There are several kinds of stability that several scientists have studied. For instance, [31], finite time stability [32], uniform stability [33], Mittag-Leffler stability [34], exponential stability [35]. According to memory characteristics, many scholars incorporate non-integer order into gene regulatory network dynamical behaviors and broadly investigated by several researchers, see [36][37][38][39][40].…”

mentioning

confidence: 99%

Impulsively fractional‐order time‐delayed gene regulatory networks: Existence and asymptotic stability

Arjunan,

Abdeljawad,

Pratap

et al. 2023

Asian Journal of Control

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This paper presents asymptotic stability criteria for fractional‐order gene regulatory networks (FOGRNs) with impulses, time delays, and two numerical cases to illustrate the applicability of the results. The established system's boundedness, existence, and uniqueness are discussed using the Mittag–Leffler function, homeomorphism theory, and Cauchy–Schwartz inequality. The delay‐independent asymptotic stability criteria for FOGRNs are derived using algebraic and LMI methods, famous inequality techniques, and Lyapunov stability theory.

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Application of Caputo–Fabrizio operator to suppress the Aedes Aegypti mosquitoes via Wolbachia: An LMI approach

Dianavinnarasi

Raja

Alzabut

et al. 2022

Mathematics and Computers in Simulation

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Delay-dependent stability criteria of delayed positive systems with uncertain control inputs: Application in mosquito-borne morbidities control

Cited by 7 publications

References 19 publications

Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field

Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field

Impulsively fractional‐order time‐delayed gene regulatory networks: Existence and asymptotic stability

Application of Caputo–Fabrizio operator to suppress the Aedes Aegypti mosquitoes via Wolbachia: An LMI approach

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