A necessary and sufficient condition of asymptotic stability for a class of Fornasini-Marchesini models
DOI10.1016/j.laa.2022.10.026zbMath1499.93066OpenAlexW4308559660MaRDI QIDQ2104974
Nima Yeganefar, Alexandre Rigaud, Francisco José Silva Álvarez, Thomas Cluzeau, Olivier Bachelier
Publication date: 8 December 2022
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2022.10.026
linear systemsasymptotic stabilitymultidimensional systemsFornasini-Marchesini models2D discrete systems
Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20)
Cites Work
- Unnamed Item
- Unnamed Item
- Robust stability and performance analysis of 2D mixed continuous-discrete-time systems with uncertainty
- Asymptotic and exponential stability of nonlinear two-dimensional continuous-discrete Roesser models
- Stability of nonlinear 2D systems described by the continuous-time Roesser model
- State-space realisations of linear 2-D systems with extensions to the general \(n\)D \((n>2)\) case
- Control systems theory and applications for linear repetitive processes.
- Two-dimensional linear systems
- Iterative learning control for deterministic systems
- Structural stabilization of linear 2D discrete systems using equivalence transformations
- The asymptotic stability of stable and time-autonomous discrete multidimensional behaviors
- On the stability and the stabilization of linear discrete repetitive processes
- 2-D partial fraction expansions and minimal commutative realizations
- A discrete state-space model for linear image processing
- Doubly-indexed dynamical systems: State-space models and structural properties
- Structural stability, asymptotic stability and exponential stability for linear multidimensional systems: the good, the bad and the ugly
- Comments on “On Stabilization of 2-D Roesser Models”
- Matrix Pairs in Two-Dimensional Systems: An Approach Based on Trace Series and Hankel Matrices
- Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities
- Stability and stabilisation of linear multidimensional discrete systems in the frequency domain
- Lyapunov Theory for 2-D Nonlinear Roesser Models: Application to Asymptotic and Exponential Stability
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