Triangular representation of Fornasini-Marchesini systems
From MaRDI portal
Publication:835740
DOI10.1007/s11045-008-0065-0zbMath1169.93315OpenAlexW2004446103MaRDI QIDQ835740
Publication date: 31 August 2009
Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11045-008-0065-0
Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Canonical structure (93B10) Asymptotic stability in control theory (93D20) Realizations from input-output data (93B15)
Related Items (4)
Control systems analysis for the Fornasini-Marchesini 2D systems model – progress after four decades ⋮ Realization of multidimensional systems in Fornasini-Marchesini state-space model ⋮ A direct and converse Lyapunov theorem for a nonlinear 2D discrete system described by the Fornasini-Marchesini second model ⋮ A novel constructive procedure to low-order Fornasini-Marchesini model realization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conservative input-state-output systems with evolution on a multidimensional integer lattice
- Observer-based fault detection and isolation for 2D state-space models
- Control systems theory and applications for linear repetitive processes.
- Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
- \(z\)-transform and Volterra-operator based approaches to controllability and observability analysis for discrete linear repetitive processes
- Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball.
- Simultaneous triangularization
- Triangular realization of rational functions of \(N\) complex variables
- A realization theorem for rational functions of several complex variables
- Structured Noncommutative Multidimensional Linear Systems
- A Trace Condition Equivalent to Simultaneous Triangularizability
- State-space realization theory of two-dimensional filters
- Stability Tests for One, Two, and Multidimensional Linear Systems
- Doubly-indexed dynamical systems: State-space models and structural properties
- Equivalence of n-dimensional Roesser and Fornasini-Marchesini models
- New 2D models and a transition matrix for discrete linear repetitive processes
- LMI approach to state-feedback stabilization of multidimensional systems
- Weak simultaneous triangularization - A determinant condition
- On commuting operators solving Gleason’s problem
- Stabilization of multidimensional systems using local state estimators
This page was built for publication: Triangular representation of Fornasini-Marchesini systems