New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian
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Publication:2000489
DOI10.1007/s10444-018-9633-5zbMath1415.78013OpenAlexW2890926145MaRDI QIDQ2000489
Publication date: 28 June 2019
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-018-9633-5
model order reductioncross GramianFIR-based approximationfrequency weightednon-commensurate fractional order system
PDEs in connection with optics and electromagnetic theory (35Q60) Fractional partial differential equations (35R11) Model reduction in optics and electromagnetic theory (78M34)
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State-space model realization for non-commensurate fractional-order systems based on Gleason's problem, Balanced truncation model order reduction in limited frequency and time intervals for discrete-time commensurate fractional-order systems, Balanced truncation model reduction in approximation of nabla difference-based discrete-time fractional-order systems
Cites Work
- Unnamed Item
- On digital realizations of non-integer order filters
- A method for the integer-order approximation of fractional-order systems
- Fractional modelling and identification of thermal systems
- Empirical balanced truncation of nonlinear systems
- Cross-Gramian based model reduction for data-sparse systems
- Fractional control of heat diffusion systems
- Fractional-order systems and controls. Fundamentals and applications
- Fractional system identification for lead acid battery state of charge estimation
- The matrix equation \(XA-BX=R\) and its applications
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Accuracy-enhancing methods for balancing-related frequency-weighted model and controller reduction.
- The Sylvester equation and approximate balanced reduction
- A new frequency weighted Fourier-based method for model order reduction
- Fractional-order discrete-time Laguerre filters: a new tool for modeling and stability analysis of fractional-order LTI SISO systems
- Balanced truncation model order reduction in limited time intervals for large systems
- Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control
- The role of fractional calculus in modeling biological phenomena: a review
- Fractional viscoelasticity in fractal and non-fractal media: theory, experimental validation, and uncertainty analysis
- Selection of reduction parameters for complex plant MIMO LTI models using the evolutionary algorithm
- A frequency weighted model order reduction technique and error bounds
- Modeling of discrete-time fractional-order state space systems using the balanced truncation method
- Stabilising model predictive control for discrete-time fractional-order systems
- Low rank approximate solutions to large Sylvester matrix equations
- \(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold
- Frequency-Limited Balanced Truncation with Low-Rank Approximations
- Modelling heat transfer in heterogeneous media using fractional calculus
- Frequency Interval Cross Gramians for Linear and Bilinear Systems
- Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
- Model reduction in limited time and frequency intervals
- On the cross-Gramian for symmetric MIMO systems
- Low rank solution of data‐sparse Sylvester equations
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- A Schur method for balanced-truncation model reduction
- Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
- A new frequency-weighted balanced truncation method and an error bound
- Frequency weighted passivity preserving model reduction technique
- Cross-Gramian-Based Model Reduction: A Comparison
- Fourier Series for Accurate, Stable, Reduced-Order Models in Large-Scale Linear Applications
- On the structure of balanced and other principal representations of SISO systems
- Model reduction via time-interval balanced stochastic truncation for linear time invariant systems
- Model order reduction via real Schur-form decomposition
- Control configuration selection for bilinear systems via generalised Hankel interaction index array
- Model Reduction of Large Scale Descriptor Systems Using Time Limited Gramians
- Discretization schemes for fractional-order differentiators and integrators
- H∞ Model Reduction for Positive Fractional Order Systems
- Approximation of Large-Scale Dynamical Systems
- Balanced truncation for linear switched systems
