A direct and converse Lyapunov theorem for a nonlinear 2D discrete system described by the Fornasini-Marchesini second model
From MaRDI portal
Publication:2294505
DOI10.1007/s11045-019-00663-6zbMath1434.93027OpenAlexW2954805543WikidataQ127676958 ScholiaQ127676958MaRDI QIDQ2294505
Publication date: 11 February 2020
Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11045-019-00663-6
Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Digital control/observation systems (93C62)
Related Items (2)
Quantized feedback control for 2D uncertain nonlinear systems with time-varying delays in a networked environment ⋮ Infinite-dimensional representation of \(n\)D nonlinear state space systems
Cites Work
- Triangular representation of Fornasini-Marchesini systems
- Converse Lyapunov theorems for nonautonomous discrete-time systems
- A note on the Lyapunov equation for discrete linear systems in Hilbert space
- The Lyapunov equation and the problem of stability for linear bounded discrete-time systems in Hilbert space
- Asymptotic stability of linear difference equations defined over a commutative Banach algebra
- Stabilization of nonlinear Fornasini-Marchesini systems
- An alternative converse Lyapunov theorem for discrete-time systems
- Triangular realization of rational functions of \(N\) complex variables
- Stability of nonlinear time-varying digital 2-D Fornasini-Marchesini system
- A realization theorem for rational functions of several complex variables
- Stability analysis of 2-D systems
- A discrete state-space model for linear image processing
- Doubly-indexed dynamical systems: State-space models and structural properties
- Lyapunov stability of two-dimensional digital filters with overflow nonlinearities
- 2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model
- Stability of nonlinear parameter-varying digital 2-D systems
- Stabilization of Two-Dimensional Nonlinear Systems Described by Fornasini--Marchesini and Roesser Models
- Stability Analysis of Two-Dimensional Systems by Means of Finitely Constructed Bilateral Quadratic Forms
- Exact Stability Analysis of 2-D Systems Using LMIs
- Lyapunov Theory for 2-D Nonlinear Roesser Models: Application to Asymptotic and Exponential Stability
- On Converses to the Stability Theorems for Difference Equations
- Remarks on the Control of Discrete-Time Distributed Parameter Systems
- A converse Lyapunov theorem for discrete-time systems with disturbances
This page was built for publication: A direct and converse Lyapunov theorem for a nonlinear 2D discrete system described by the Fornasini-Marchesini second model