A symbolic algorithm to compute immersions of polynomial systems into linear ones up to an output injection
From MaRDI portal
Publication:2284963
DOI10.1016/j.jsc.2019.03.001zbMath1446.93032OpenAlexW2922110273WikidataQ128265836 ScholiaQ128265836MaRDI QIDQ2284963
Corrado Possieri, Laura Menini, Antonio Tornambe
Publication date: 15 January 2020
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsc.2019.03.001
Symbolic computation and algebraic computation (68W30) Nonlinear systems in control theory (93C10) Linearizations (93B18) Observability (93B07) Polynomials, factorization in commutative rings (13P05)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On polynomial feedback Nash equilibria for two-player scalar differential games
- Linearization by output injection and nonlinear observers
- Further results on the observer design problem
- Thirty years of polynomial system solving, and now?
- Observers for linear systems
- Nonlinear control systems: An introduction
- Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
- Solving zero-dimensional algebraic systems
- Solving zero-dimensional systems through the rational univariate representation
- Linearization by generalized input--output injection
- Reflection \(K\)-matrices for a nineteen vertex model with \(U_q [\operatorname{osp}(2 | 2)^{(2)}\) symmetry]
- Switching Signal Estimator Design for a Class of Elementary Systems
- Nonlinear Observers with Linearizable Error Dynamics
- Generic Observability of Differentiable Systems
- A simple observer for nonlinear systems applications to bioreactors
- High-gain observers for non-linear systems
- Immersion of Nonlinear Systems into Linear Systems Modulo Output Injection
- Algorithm 795
- Dead‐beat regulation of mechanical juggling systems
- New algebraic-geometric conditions for the linearization by input-output injection
- High‐gain observers in nonlinear feedback control
- Ideals, Varieties, and Algorithms
- On a Lyapunov equation for polynomial continuous-time systems
- Controllability and Observability in Multivariable Control Systems