Ardak Kashkynbayev

ORCID: 0000-0002-1338-2058
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About
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Research Areas
  • Neural Networks Stability and Synchronization
  • Nonlinear Dynamics and Pattern Formation
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Neural Networks and Applications
  • stochastic dynamics and bifurcation
  • Chaos control and synchronization
  • Distributed Control Multi-Agent Systems
  • Nonlinear Differential Equations Analysis
  • Fractional Differential Equations Solutions
  • Advanced Memory and Neural Computing
  • Quantum chaos and dynamical systems
  • COVID-19 epidemiological studies
  • Mathematical Dynamics and Fractals
  • Stability and Controllability of Differential Equations
  • Mathematical Biology Tumor Growth
  • Stability and Control of Uncertain Systems
  • Evolution and Genetic Dynamics
  • Advanced Differential Equations and Dynamical Systems
  • Fuzzy Logic and Control Systems
  • Differential Equations and Numerical Methods
  • Viral Infections and Outbreaks Research
  • Advanced Mathematical Physics Problems
  • Smart Grid Security and Resilience
  • Elasticity and Wave Propagation
  • Machine Learning and ELM

Nazarbayev University
2017-2025

Institute of Mathematics and Mathematical Modeling
2022-2023

Ghent University
2022

Al-Farabi Kazakh National University
2022

University of Ioannina
2021

University of Klagenfurt
2021

Middle East Technical University
2013-2017

This paper focuses on the mult-layer unmanned aerial vehicles (UAVs) formation keeping control issue based multi-agent bifurcation consensus. Taking two-layer as an example, due to delays in receiving and responding signals, intra-layer inter-layer schemes under dynamic properties need be considered. Firstly, UAV heading autopilot is designed fully consider of angle attack yaw angle, which utilized deal with translational angular motion UAV. Based autopilot, stability Hopf conditions UAVs...

10.1109/tcsi.2023.3276870 article EN IEEE Transactions on Circuits and Systems I Regular Papers 2023-05-24

This study aims to introduce a user-controlled chaotic fuzzy cellular neural network (FCNN) model that incorporates the effects of stochastic (external) disturbances and proportional delay. Theoretically, synchronization analysis is considerably more effective approach exploring dynamical characteristics FCNN with without external control input. models suitable input help possess traditional but potential handle other uncertainties. Besides, this focuses on achieving within prescribed-time...

10.1109/tfuzz.2024.3365816 article EN IEEE Transactions on Fuzzy Systems 2024-02-14

This paper delves into the topics of Finite-Time Stabilization (FTS) and Contractive (FTCS) for Fractional-Order Nonlinear Systems (FONSs). To address these issues, we employ a State-Dependent Delayed Impulsive Controller (SDDIC). By leveraging both Lyapunov theory impulsive control theory, establish sufficient conditions achieving stability criteria fractional-order systems. Initially, aforementioned to derive general FONSs within SDDIC framework, employing Linear Matrix Inequality (LMI)...

10.1142/s0218127424500342 article EN International Journal of Bifurcation and Chaos 2024-03-06

Abstract This study concentrates on achieving quasi‐bipartite synchronization within signed coupled inertial neural networks featuring time‐varying delays. The pinning controller technique addresses this problem a structure incorporating cooperative and competitive interaction among the nodes. With structurally balanced networks, some linear matrix inequality based sufficient conditions are derived for both reduced non‐reduced order methods with help of Lyapunov–Krasovskii functional to...

10.1049/cth2.12780 article EN cc-by IET Control Theory and Applications 2025-01-01

In the realm of microgrid (MG), distributed load frequency control (LFC) system has proven to be highly susceptible negative effects false data injection attacks (FDIAs). Considering significant responsibility LFC for maintaining stability within MG, this paper proposes a detection and defense method against unobservable FDIAs in system. Firstly, integrates bi-directional long short-term memory (BiLSTM) neural network an improved whale optimization algorithm (IWOA) into controller detect...

10.35833/mpce.2023.000400 article EN Journal of Modern Power Systems and Clean Energy 2024-01-01

During the spike of COVID-19 pandemic in Kazakhstan (June-2020), multiple SARS-CoV-2 PCR-test negative pneumonia cases with higher mortality were reported by media. We aimed to study epidemiologic characteristics hospitalized positive and patients analysis in-hospital post-hospital mortality. also compare respiratory disease between 2019 2020.

10.1186/s12879-021-06154-z article EN cc-by BMC Infectious Diseases 2021-05-20

This article investigates finite-time stability (FTS) and contractive (FTCS) of discontinuous nonlinear fractional-order (FO) systems with time-delay state-dependent delayed impulses. Lyapunov–Razumikhin (LR) conditions impulse perturbations yield the essential adequate for criteria. Based on main concept this work, we investigate analysis retarded FO neural networks (NNs) time delays, FO-delayed Cohen–Grossberg NNs, bidirectional associative memory NNs within framework Filippov map due to...

10.1109/tsmc.2023.3326612 article EN IEEE Transactions on Systems Man and Cybernetics Systems 2023-11-09

We consider fuzzy shunting inhibitory cellular neural networks (FSICNNs) with time-varying coefficients and constant delays. By virtue of continuation theorem coincidence degree theory Cauchy–Schwartz inequality, we prove the existence periodic solutions for FSICNNs. Furthermore, by employing a suitable Lyapunov functional establish sufficient criteria which ensure global exponential stability solutions. Numerical simulations that support theoretical discussions are depicted.

10.1186/s13662-019-2321-z article EN cc-by Advances in Difference Equations 2019-09-05
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