State-space model realization for non-commensurate fractional-order systems based on Gleason's problem
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Publication:6136483
DOI10.1016/j.jfranklin.2023.10.028zbMath1530.93184OpenAlexW4387807902MaRDI QIDQ6136483
Li Xu, Xingwen Zhou, Dongdong Zhao, Shi Yan, Zongsheng Geng
Publication date: 17 January 2024
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2023.10.028
Multivariable systems, multidimensional control systems (93C35) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)
Cites Work
- State-space realization of a describing function
- Non-asymptotic fractional order differentiator for a class of fractional order linear systems
- Selected problems of fractional systems theory.
- A direct-construction approach to multidimensional realization and LFR uncertainty modeling
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- State-space realisations of linear 2-D systems with extensions to the general \(n\)D \((n>2)\) case
- Fractional calculus in viscoelasticity: an experimental study
- Function theory in the unit ball of \({\mathbb{C}}^ n\)
- New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian
- Fractional-order control with second-order sliding mode algorithm and disturbance estimation for vibration suppression of marine riser
- Fractional order mathematical modeling of COVID-19 transmission
- A digraph approach to the state-space model realization of MIMO non-commensurate fractional order systems
- Robust stability analysis of incommensurate fractional-order systems with time-varying interval uncertainties
- Modeling of discrete-time fractional-order state space systems using the balanced truncation method
- High-order sliding mode observer for fractional commensurate linear systems with unknown input
- Implementation of fractional-order transfer functions in the viewpoint of the required fractional-order capacitors
- The Minimal State Space Realization for a Class of Fractional Order Transfer Functions
- Fractional‐order–dependent global stability analysis and observer‐based synthesis for a class of nonlinear fractional‐order systems
- State-Space Realization of Periodic i/o Behaviors
- Notes on the State Space Realizations of Rational Order Transfer Functions
- Robust stability analysis for fractional‐order systems with time delay based on finite spectrum assignment
- Robust identification of MISO neuro‐fractional‐order Hammerstein systems
