Computation of invariant sets via immersion for discrete-time nonlinear systems
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Publication:2103661
DOI10.1016/j.automatica.2022.110686zbMath1505.93144arXiv2010.00974OpenAlexW4308345590MaRDI QIDQ2103661
Publication date: 9 December 2022
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.00974
Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)
Cites Work
- Unnamed Item
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- A compendium of comparison function results
- Linearization by output injection and nonlinear observers
- On the computation of convex robust control invariant sets for nonlinear systems
- New classes of finite-dimensional nonlinear filters
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- Linearization through state immersion of nonlinear systems admitting Lie symmetries
- Nonlinear system immersion, observers and finite-dimensional filters
- Random coverings in several dimensions
- Theory and computation of disturbance invariant sets for discrete-time linear systems
- Structurally stable output regulation of nonlinear systems
- Set invariance in control
- Computation of polytopic invariants for polynomial dynamical systems using linear programming
- Constrained model predictive control: Stability and optimality
- A derivative matching approach to moment closure for the stochastic logistic model
- Exact determinations of the maximal output admissible set for a class of nonlinear systems
- The minimal disturbance invariant set: outer approximations via its partial sums
- On the computation of invariant sets for constrained nonlinear systems: an interval arithmetic approach
- Computation of the maximal invariant set of discrete-time linear systems subject to a class of non-convex constraints
- A One-Step Approach to Computing a Polytopic Robust Positively Invariant Set
- Global Stability Analysis Using the Eigenfunctions of the Koopman Operator
- Convex Computation of the Region of Attraction of Polynomial Control Systems
- The immersion under feedback of a multidimensional discrete-time non-linear system into a linear system
- Immersion and immersion by nonsingular feedback of a discrete-time nonlinear system into a linear system
- Linear systems with state and control constraints: the theory and application of maximal output admissible sets
- Economic MPC of nonlinear systems with nonmonotonic Lyapunov functions and its application to HVAC control
- On boundary estimation
- Convex Computation of the Maximum Controlled Invariant Set For Polynomial Control Systems
- A Lyapunov approach to incremental stability properties
- Invariant approximations of the minimal robust positively Invariant set
- Approximate Moment Dynamics for Chemically Reacting Systems
- Understanding Machine Learning
- Infinite time reachability of state-space regions by using feedback control
- Set-theoretic methods in control
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