<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "On the stability of quadratic forms based model predictive control of constrained PWA systems"^^ . "In this paper we investigate the stability of discrete-time PWA systems in closed-loop with quadratic cost based Model Predictive Controllers (MPC) and we derive a priori sufficient conditions for Lyapunov asymptotic stability.\r\nWe prove that Lyapunov stability can be achieved for the\r\nclosed-loop system even though the considered Lyapunov\r\nfunction and the system dynamics may be discontinuous.\r\nThe stabilization conditions are derived using a terminal\r\ncost and constraint set method. An S-procedure technique\r\nis employed to reduce conservativeness of the stabilization\r\nconditions and a linear matrix inequalities set-up is developed in order to calculate the terminal cost. A new algorithm for computing piecewise polyhedral positively invariant sets for PWA systems is also presented. In this manner, the on-line optimization problem associated with MPC leads to a mixed integer quadratic programming problem, which can be solved by standard optimization tools."^^ . "2005-06" . . "IEEE"^^ . . "IEEE"^^ . . . "American Control Conference"^^ . . . . . . . . . . . . . . . . . "Siep"^^ . "Weiland"^^ . "Siep Weiland"^^ . . "Mircea"^^ . "Lazar"^^ . "Mircea Lazar"^^ . . "W.P.M.H."^^ . "Heemels"^^ . "W.P.M.H. Heemels"^^ . . "Alberto"^^ . "Bemporad"^^ . "Alberto Bemporad"^^ . . . . "American Control Conference, 2005"^^ . . . . . "8th-10th June 2005"^^ . . . . . "HTML Summary of #528 \n\nOn the stability of quadratic forms based model predictive control of constrained PWA systems\n\n" . "text/html" . . . "QA Mathematics"@en . . . "QA75 Electronic computers. Computer science"@en . .