Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
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Publication:2042976
DOI10.34768/amcs-2021-0002zbMath1475.93057OpenAlexW3187017609MaRDI QIDQ2042976
Hongli Yang, Xindong Si, Ivan Ganchev Ivanov
Publication date: 22 July 2021
Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)
Full work available at URL: https://doaj.org/article/ec149ca17d23457884e29abc2fd173d4
linear programmingasymptotic stabilityfractional-order nonlinear systemspositively invariant setconstrained regulation
Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)
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Cites Work
- Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties
- Asymptotic stability and stabilization of a class of nonautonomous fractional order systems
- Stability analysis on a class of nonlinear fractional-order systems
- Asymptotical stability of Riemann-Liouville fractional singular systems with multiple time-varying delays
- Robust stability analysis of fractional-order uncertain singular nonlinear system with external disturbance
- How to impose physically coherent initial conditions to a fractional system?
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM)
- Hyperchaotic chameleon: fractional order FPGA implementation
- Decentralized stabilization of fractional positive descriptor continuous-time linear systems
- Lyapunov functions for a class of nonlinear systems using Caputo derivative
- Fractional comparison method and asymptotic stability results for multivariable fractional order systems
- Finite energy Lyapunov function candidate for fractional order general nonlinear systems
- A novel Mittag-Leffler stable estimator for nonlinear fractional-order systems: a linear quadratic regulator approach
- The novel fractional discrete multivariate grey system model and its applications
- Absolute stability of a class of fractional positive nonlinear systems
- Mittag-Leffler stability of fractional-order Hopfield neural networks
- On the positive invariance of polyhedral sets in fractional-order linear systems
- New conditions and numerical checking method for the practical stability of fractional order positive discrete-time linear systems
- Stability analysis for nonlinear fractional-order systems based on comparison principle
- On the Stabilization of Linear Time Invariant Fractional Order Commensurate Switched Systems
- Stabilization of Fractional-Order Linear Systems with State and Input Delay
- Stability and Control of Fractional Chaotic Complex Networks with Mixed Interval Uncertainties
- Stability and Performance Analysis for Positive Fractional-Order Systems With Time-Varying Delays
- Stabilization of Continuous-Time Fractional Positive Systems by Using a Lyapunov Function
- Stability Analysis of Linear Time‐Invariant Distributed‐Order Systems
- Dynamic Output Feedback Control for Fractional‐Order Systems
