Construction of invariant polytopic sets with specified complexity
From MaRDI portal
Publication:5499781
DOI10.1080/00207179.2014.882518zbMath1317.93074OpenAlexW2011317244MaRDI QIDQ5499781
Nikolaos Athanasopoulos, Mircea Lazar, Georges Bitsoris
Publication date: 31 July 2015
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://pure.qub.ac.uk/en/publications/construction-of-invariant-polytopic-sets-with-specified-complexity(39f2509f-5714-47b8-83ba-85035f17206f).html
complexitylinear systemsconstraintspositively invariant setscontractive setscontrolled invariant sets
Related Items
Explicit robustness and fragility margins for linear discrete systems with piecewise affine control law, Computation of robust control invariant sets with predefined complexity for uncertain systems, On the construction of safe controllable regions for affine systems with applications to robotics, Computation of low-complexity control-invariant sets for systems with uncertain parameter dependence
Cites Work
- Unnamed Item
- On feasible sets for MPC and their approximations
- Theory and computation of disturbance invariant sets for discrete-time linear systems
- Discussion on: ``\((A,B)\)-invariance conditions of polyhedral domains for continuous-time systems by C. E. T. Dórea and J. -C. Hennet
- Nonlinear model predictive control with polytopic invariant sets.
- Piecewise-linear Lyapunov functions and localization of spectra of stable matrices
- \((A,B)\)-invariant polyhedral sets of linear discrete-time systems
- On Barriers in State and Input Constrained Nonlinear Systems
- On efficient computation of low-complexity controlled invariant sets for uncertain linear systems
- Model Predictive Control – Numerical Methods for the Invariant Sets Approximation
- Convergence of an algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states
- Positively invariant polyhedral sets of discrete-time linear systems
- Linear systems with state and control constraints: the theory and application of maximal output admissible sets
- Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions
- An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states
- On infinity norms as Lyapunov functions for linear systems
- Infinite time reachability of state-space regions by using feedback control
- Feedback control for linear time-invariant systems with state and control bounds in the presence of disturbances
- Set-theoretic methods in control