Balanced truncation model reduction in approximation of nabla difference-based discrete-time fractional-order systems

DOI10.1007/978-3-030-89972-1_7OpenAlexW4205708056MaRDI QIDQ2098442

Krzysztof J. Latawiec, Marek Rydel, Rafał Stanisławski

Publication date: 18 November 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-89972-1_7

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Fractional derivatives and integrals (26A33) System structure simplification (93B11)

Cites Work

Responses comparison of the two discrete-time linear fractional state-space models
A method for the integer-order approximation of fractional-order systems
Rational approximation for fractional-order system by particle swarm optimization
New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions
Comparison between two approximation methods of state space fractional systems
The Grünwald-Letnikov method for fractional differential equations
On Riemann and Caputo fractional differences
An accurate approximate-analytical technique for solving time-fractional partial differential equations
Analysis on measure chains - a unified approach to continuous and discrete calculus
Fractional derivatives and best approximations
Numerical solution of generalized Lyapunov equations
Accuracy-enhancing methods for balancing-related frequency-weighted model and controller reduction.
A comparative analysis of Laguerre-based approximators to the Grünwald-Letnikov fractional-order difference
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
Krylov space methods on state-space control models
New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian
A frequency weighted model order reduction technique and error bounds
Modeling of discrete-time fractional-order state space systems using the balanced truncation method
Algorithms for model reduction of large dynamical systems
Approximations of fractional integrals and Caputo fractional derivatives
A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems
Frequency-Limited Balanced Truncation with Low-Rank Approximations
Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
Model reduction in limited time and frequency intervals
All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
Approximate implicit subspace iteration with alternating directions for LTI system model reduction
Principal component analysis in linear systems: Controllability, observability, and model reduction
Model reduction via balanced state space representations
A Schur method for balanced-truncation model reduction
Model reduction methods based on Krylov subspaces
A new frequency-weighted balanced truncation method and an error bound
On the Laguerre Rational Approximation to Fractional Discrete Derivative and Integral Operators
H_∞ Model Reduction for Positive Fractional Order Systems
Approximation of Large-Scale Dynamical Systems

This page was built for publication: Balanced truncation model reduction in approximation of nabla difference-based discrete-time fractional-order systems