Fractional systems: theoretical foundations
From MaRDI portal
Publication:2098435
DOI10.1007/978-3-030-89972-1_2OpenAlexW4206671278MaRDI QIDQ2098435
Ewa Pawłuszewicz, Piotr Ostalczyk
Publication date: 18 November 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-89972-1_2
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Correcting the initialization of models with fractional derivatives via history-dependent conditions
- Stabilization and control of fractional order systems: a sliding mode approach
- Fractional linear systems and electrical circuits
- Selected problems of fractional systems theory.
- Variable-order fractional derivatives and their numerical approximations
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Fractional-order systems and controls. Fundamentals and applications
- Numerical approach to differential equations of fractional order
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional derivatives and best approximations
- An algorithm for the numerical solution of differential equations of fractional order
- Generalized fractional-order discrete-time integrator
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Variable order and distributed order fractional operators
- Dynamics and control of initialized fractional-order systems
- Solution existence for non-autonomous variable-order fractional differential equations
- Comparison and validation of integer and fractional order ultracapacitor models
- Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
- Synchronization of fractional-order discrete-time chaotic systems by an exact delayed state reconstructor: application to secure communication
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- Short memory principle and a predictor-corrector approach for fractional differential equations
- Modelling heat transfer in heterogeneous media using fractional calculus
- Constrained Controllability of h-Difference Linear Systems with Two Fractional Orders
- Local observability and controllability of nonlinear discrete-time fractional order systems based on their linearisation
- Discretized Fractional Calculus
- Fractional calculus in the transient analysis of viscoelastically damped structures
- Stability properties for generalized fractional differential systems
- Mechanics with variable-order differential operators
- Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
- Fractional Diffusion Equations and Anomalous Diffusion
- Fractional variable order discrete-time systems, their solutions and properties
- Fractional-order Modeling and Control of Dynamic Systems
- On the Fractional Calculus Model of Viscoelastic Behavior
- Image-Based and Fractional-Order Control for Mechatronic Systems
- On the existence of optimal consensus control for the fractional Cucker–Smale model
- Variable-, Fractional-Order Oscillation Element
- Optimal Control for Discrete Fractional Systems
- Stability of nonlinear h-difference systems with n fractional orders
- On solutions of variable-order fractional differential equations
- Advances in Fractional Calculus
- Diversity and Non‐Integer Differentiation for System Dynamics
- Fractional Derivatives and Leibniz Rule
- Extrapolation to the Limit for Numerical Fractional Differentiation
- The numerical solution of fractional differential equations: speed versus accuracy
This page was built for publication: Fractional systems: theoretical foundations
