Fractional-order PID control of tipping in network congestion
From MaRDI portal
Publication:6115790
DOI10.1080/00207721.2023.2210143zbMath1520.93159OpenAlexW4376255279MaRDI QIDQ6115790
Wei Xing Zheng, Yunxiang Lu, Min Xiao, Unnamed Author, Zhen Wang
Publication date: 13 July 2023
Published in: International Journal of Systems Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207721.2023.2210143
Feedback control (93B52) Bifurcation theory for ordinary differential equations (34C23) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08) Networked control (93B70)
Cites Work
- Unnamed Item
- Unnamed Item
- Fractional-order PD control at Hopf bifurcations in delayed fractional-order small-world networks
- Stability analysis of linear fractional differential system with multiple time delays
- The effect of vaccines on backward bifurcation in a fractional order HIV model
- Delay induced Hopf bifurcation in a dual model of internet congestion control algorithm
- The mathematics of internet congestion control
- Fractional-order PD control at Hopf bifurcations in a fractional-order congestion control system
- Hopf bifurcation, chaos control and synchronization of a chaotic fractional-order system with chaos entanglement function
- Bifurcations in an internet congestion control system with distributed delay
- A simple approach to mathematical modelling of integer order and fractional order fuzzy PID controllers using one-dimensional input space and their experimental realization
- Hierarchical gradient- and least squares-based iterative algorithms for input nonlinear output-error systems using the key term separation
- Bifurcation control of optimal velocity model through anticipated effect and response time-delay feedback methods
- Fractional-order PD control at Hopf bifurcation in a delayed predator-prey system with trans-species infectious diseases
- On some extended Routh-Hurwitz conditions for fractional-order autonomous systems of order \(\alpha\in (0, 2)\) and their applications to some population dynamic models
- Dynamic optimal control at Hopf bifurcation of a Newman-Watts model of small-world networks via a new \(PD^{\frac{1}{n}}\) scheme
- Novel design for bifurcation control in a delayed fractional dual congestion model
- On Hopf bifurcation in fractional dynamical systems
- The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus
- Variable-Order Fractional Operators for Adaptive Order and Parameter Estimation
- Periodic solutions and complicated dynamics in network congestion control systems with state-dependent round-trip delays and non-smooth dropping probability
- THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
- Exact solutions for some time‐fractional evolution equations using Lie group theory
- Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations
- Delay-dependent consensus condition for a class of fractional-order linear multi-agent systems with input time-delay
- On LMI conditions to design robust static output feedback controller for continuous-time linear systems subject to norm-bounded uncertainties
- Adaptive finite time congestion tracking control for TCP/AQM system with input-saturation
- Local bifurcation analysis of some dual congestion control algorithms
This page was built for publication: Fractional-order PID control of tipping in network congestion