4.7 Article

Generalized Full Order Observer Subject to Incremental Quadratic Constraint (IQC) for a Class of Fractional Order Chaotic Systems

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Interdisciplinary Applications

Integer and fractional order analysis of a 3D system and generalization of synchronization for a class of chaotic systems

Muhammad Fiaz et al.

Summary: In this article, a 3D autonomous system derived from multiple chaotic systems is studied to verify the existence of zero Hopf bifurcation. Fractional order analysis is conducted to examine stability, chaotification condition, and other properties of the derived system. The synchronization of the derived system with the famous Lorenz model is investigated, and the results are compared using different numerical techniques. The study concludes that if integer order chaotic systems are synchronized, their fractional order versions will also be synchronized for the same parametric values and initial conditions, and vice versa.

CHAOS SOLITONS & FRACTALS (2022)

Article Engineering, Electrical & Electronic

Impulsive Functional Observer Design for Fractional-Order Nonlinear Systems Satisfying Incremental Quadratic Constraints

Leipo Liu et al.

Summary: This paper addresses the design problem of impulsive functional observer for fractional-order nonlinear systems with incremental quadratic constraints. By introducing incremental quadratic constraints and designing an impulsive functional observer, the exponential stability of the error system can be guaranteed.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING (2022)

Article Mathematics, Interdisciplinary Applications

Stability and Bifurcation Analysis of Fractional-Order Delayed Prey-Predator System and the Effect of Diffusion

Vikas Kumar et al.

Summary: This paper proposes a fractional-order delayed prey-predator system with the fear effect and studies its existence, uniqueness, non-negativity, boundedness, and local asymptotic stability. The results show that the fractional-order derivative improves system stability and dampens oscillatory behaviors. A spatially extended system is also introduced, and its Hopf bifurcation properties are analyzed.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2022)

Article Automation & Control Systems

Bifurcation and synchronization of a new fractional-order system

Xiaojun Liu et al.

Summary: In this paper, bifurcation and adaptive synchronization of a new fractional-order system are investigated. The results show that the dynamics of the system changes from regular to chaos with an increase of derivative orders, and the nonlinearity in the system downgrades the critical order for transitions to chaos. The numerical simulations demonstrate the effectiveness and flexibility of the synchronization controllers and the estimation laws for the unknown parameters.

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL (2022)

Review Engineering, Mechanical

Chaotic dynamics in a novel COVID-19 pandemic model described by commensurate and incommensurate fractional-order derivatives

Nadjette Debbouche et al.

Summary: Mathematical models based on fractional-order differential equations have recently provided insights into epidemiological phenomena due to their memory effect and nonlocal nature. This paper investigates the nonlinear dynamic behavior of a novel COVID-19 pandemic model described by commensurate and incommensurate fractional-order derivatives. The study shows that the COVID-19 pandemic model exhibits chaotic behaviors by analyzing equilibrium points, varying fractional order values, and exploring system dynamics through various methods.

NONLINEAR DYNAMICS (2022)

Article

Numerical Solution of Fractional Multi-Delay Differential Equations

Safiyeh Mohammadian et al.

International Journal of Applied and Computational Mathematics (2022)

Article Mathematics

Qualitative Analysis of Class of Fractional-Order Chaotic System via Bifurcation and Lyapunov Exponents Notions

Ndolane Sene

Summary: This paper introduces a modified chaotic system under the fractional operator with singularity, focusing on the influence of parameters and fractional order. The study uses bifurcation diagrams, Lyapunov exponents, and numerical schemes to analyze the chaotic behaviors and stability of the model's equilibrium points, proposing an adaptive control to correct instability. Initial conditions are found to significantly impact the system's behavior, with coexisting attractors illustrating this influence.

JOURNAL OF MATHEMATICS (2021)

Article Computer Science, Interdisciplinary Applications

Stability switching and chaos in a multiple delayed prey-predator model with fear effect and anti-predator behavior

Balram Dubey et al.

Summary: Recent studies show that prey population density is influenced by predator's direct killing and prey's fear response, leading to reduced reproduction rate and anti-predator behavior. The system exhibits bi-stability and Hopf-bifurcation, with delayed system showing chaotic behavior for large values of fear response delay. The findings are supported by numerical simulations.

MATHEMATICS AND COMPUTERS IN SIMULATION (2021)

Article Computer Science, Artificial Intelligence

Enhanced equilibrium optimization method with fractional order chaotic and application engineering

Abdullah Ates

Summary: An enhanced equilibrium optimization algorithm was proposed in this study by incorporating fractional order chaotic system models, showing that the use of such models improved the performance of the optimization algorithm and led to better results.

NEURAL COMPUTING & APPLICATIONS (2021)

Article Mathematics, Interdisciplinary Applications

On detecting chaos in a prey-predator model with prey's counter-attack on juvenile predators

Behzad Ghanbari

Summary: This paper investigates the chaotic nature of a biological system involving an exponential kernel law, and discusses basic properties of the model, stability analysis, and chaos detection using numerical simulations. It is found that introducing a new derivative operator significantly increases the reliability of the biological system in predicting different scenarios.

CHAOS SOLITONS & FRACTALS (2021)

Article Mathematics, Interdisciplinary Applications

Weighted Midpoint Hermite-Hadamard-Fejer Type Inequalities in Fractional Calculus for Harmonically Convex Functions

Humaira Kalsoom et al.

Summary: In this paper, a new version of Hermite-Hadamard-Fejer type inequality for harmonically convex functions in the form of weighted fractional integral is established. Integral identities and weighted midpoint fractional Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions have been obtained by involving positive weighted symmetric functions. These inequalities generalize several well-known inequalities, including classical and Riemann-Liouville fractional integral inequalities.

FRACTAL AND FRACTIONAL (2021)

Review Computer Science, Artificial Intelligence

A review of dynamical systems approaches for the detection of chaotic attractors in cancer networks

Abicumaran Uthamacumaran

Summary: This study focuses on the complexity of cancers as dynamical systems, emphasizing the importance of understanding gene expression patterns and protein oscillations in overcoming cancer. It provides important methods and tools to help researchers better understand causal relationships and analyze time series data in cancer research.

PATTERNS (2021)

Article Automation & Control Systems

Observers for rectangular descriptor systems with output nonlinearities: application to secure communications and microcontroller implementation

Lazaros Moysis et al.

Summary: This work focuses on observer design for rectangular descriptor systems applied in secure communications, showcasing the results through safe transmission and estimation of information signal and encrypted images. The implementation of a microcontroller for the master system marks the first step towards the complete realization of the design.

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL (2021)

Article Automation & Control Systems

Observer-Based Synchronization of Chaotic Systems Satisfying Incremental Quadratic Constraints and Its Application in Secure Communication

Younan Zhao et al.

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS (2020)

Article Mechanics

Control and numerical analysis for cancer chaotic system

Javaria Iqbal et al.

ARCHIVE OF APPLIED MECHANICS (2020)

Article Engineering, Mechanical

Melnikov-based analysis for chaotic dynamics of spin-orbit motion of a gyrostat satellite

Seyed Mahdi Abtahi

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS (2019)

Article Mathematics, Interdisciplinary Applications

Modeling of a Chaotic Gyrostat System and Mechanism Analysis of Dynamics Using Force and Energy

Guoyuan Qi et al.

COMPLEXITY (2019)

Article Mathematics, Interdisciplinary Applications

Modeling and Analysis of Chaos and Bifurcations for the Attitude System of a Quadrotor Unmanned Aerial Vehicle

Haiyun Bi et al.

COMPLEXITY (2019)

Article Automation & Control Systems

Sliding mode disturbance observer control based on adaptive synchronization in a class of fractional-order chaotic systems

Omid Mofid et al.

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING (2019)

Article Physics, Multidisciplinary

Comparing mechanical analysis with generalized-competitive-mode analysis for the plasma chaotic system

Yingjuan Yang et al.

PHYSICS LETTERS A (2019)

Article Engineering, Mechanical

A New Finance Chaotic System, its Electronic Circuit Realization, Passivity based Synchronization and an Application to Voice Encryption

Sundarapandian Vaidyanathan et al.

NONLINEAR ENGINEERING - MODELING AND APPLICATION (2019)

Article Physics, Multidisciplinary

Study of chaos in chaotic satellite systems

Ayub Khan et al.

PRAMANA-JOURNAL OF PHYSICS (2018)

Article Engineering, Electrical & Electronic

Exponential Reduced-Order Observers for Nonlinear Systems Satisfying Incremental Quadratic Constraints

Younan Zhao et al.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING (2018)

Article Automation & Control Systems

Unknown inputs observer design for descriptor systems with monotone nonlinearities

Mahendra Kumar Gupta et al.

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL (2018)

Article Automation & Control Systems

Exponential State Observers for Nonlinear Systems with Incremental Quadratic Constraints and Output Nonlinearities

Younan Zhao et al.

JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS (2018)

Article Automation & Control Systems

Synchronization for chaotic systems via mixed-objective dynamic output feedback robust model predictive control

Wei Jiang et al.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2017)

Article Engineering, Multidisciplinary

Energy cycle of brushless DC motor chaotic system

Guoyuan Qi

APPLIED MATHEMATICAL MODELLING (2017)

Article Automation & Control Systems

FULL-ORDER AND REDUCED-ORDER OBSERVER DESIGN FOR A CLASS OF FRACTIONAL-ORDER NONLINEAR SYSTEMS

Yong-Hong Lan et al.

ASIAN JOURNAL OF CONTROL (2016)

Article Automation & Control Systems

Improved exponential observer design for one-sided Lipschitz nonlinear systems

Wei Zhang et al.

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL (2016)

Article Robotics

A Bounded Strategy of the Mobile Robot Coverage Path Planning Based on Lorenz Chaotic System

Caihong Li et al.

INTERNATIONAL JOURNAL OF ADVANCED ROBOTIC SYSTEMS (2016)

Article Mathematics, Applied

Stability and Stabilizing of Fractional Complex Lorenz Systems

Rabha W. Ibrahim

ABSTRACT AND APPLIED ANALYSIS (2013)

Article Automation & Control Systems

Observers for systems with nonlinearities satisfying incremental quadratic constraints

Behcet Acikmese et al.

AUTOMATICA (2011)

Article Mathematics, Applied

Synchronization of different fractional order chaotic systems using active control

Sachin Bhalekar et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2010)

Article Automation & Control Systems

Nonlinear observers: a circle criterion design and robustness analysis

M Arcak et al.

AUTOMATICA (2001)