<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Stability and Invariance Analysis of Uncertain Discrete-Time Piecewise Affine Systems"^^ . "This note proposes a method to analyze uniform asymptotic stability and uniform ultimate boundedness of uncertain piecewise affine systems whose dynamics are only defined in a bounded and possibly non-invariant set X of states. The approach relies on introducing fake dynamics outside X and on synthesizing a piecewise affine and possibly discontinuous Lyapunov function via linear programming. The existence of such a function proves stability properties of the original system and allows the determination of a region of attraction contained in X. The procedure is particularly useful in practical applications for analyzing the stability of piecewise affine control systems that are only defined over a bounded subset X of the state space, and to determine whether for a given set of initial conditions the trajectories of the state vector remain within the domain X."^^ . "2013-09" . "58" . "9" . . "IEEE "^^ . . . "IEEE Transactions on Automatic Control "^^ . . . "00189286" . . . . . . . . . . . . . "Alberto"^^ . "Bemporad"^^ . "Alberto Bemporad"^^ . . "Matteo"^^ . "Rubagotti"^^ . "Matteo Rubagotti"^^ . . "Sergio"^^ . "Trimboli"^^ . "Sergio Trimboli"^^ . . . . . "HTML Summary of #1811 \n\nStability and Invariance Analysis of Uncertain Discrete-Time Piecewise Affine Systems\n\n" . "text/html" . . . "TK Electrical engineering. Electronics Nuclear engineering"@en . .