<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Stability and invariance analysis of approximate explicit MPC based on PWA Lyapunov functions"^^ . "For piecewise affine (PWA) systems whose dynamics are only defined in a bounded and possibly non-invariant set X, this paper proposes a numerical approach to analyze the stability of the origin and to find a region of attraction. The approach relies on introducing fake dynamics outside X and on synthesizing a piecewise affine and possibly discontinuous Lyapunov function on a larger bounded set containing X by solving a linear program. The existence of a solution proves that the origin is an asymptotically stable equilibrium of the original PWA system and determines a region of attraction contained in X. The procedure is particularly useful in practical applications for analyzing a posteriori the stability properties of approximate explicit model predictive control laws defined over a bounded set X of states, and to determine whether, for a given set of initial states, the closed-loop system evolves within the domain X where the control law is defined."^^ . "2011" . "18" . . "IFAC"^^ . . "IFAC"^^ . . . . . . . . . . . . . . . . . "Sergio"^^ . "Trimboli"^^ . "Sergio Trimboli"^^ . . "Daniele"^^ . "Bernardini"^^ . "Daniele Bernardini"^^ . . "Matteo"^^ . "Rubagotti"^^ . "Matteo Rubagotti"^^ . . "Alberto"^^ . "Bemporad"^^ . "Alberto Bemporad"^^ . . . . "18th IFAC World Congress"^^ . . . . . "Milano, Italy"^^ . . . . . "HTML Summary of #740 \n\nStability and invariance analysis of approximate explicit MPC based on PWA Lyapunov functions\n\n" . "text/html" . . . "QA Mathematics"@en . . . "TJ Mechanical engineering and machinery"@en . .