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2004 mathematical model; matlab; quadratic programming; linear programming; riccati equations; integer linear programming; control theory; control systems; automatic control; robust control

YALMIP : a toolbox for modeling and optimization in MATLAB

J. Lofberg

The MATLAB toolbox YALMIP is introduced. It is described how YALMIP can be used to model and solve optimization problems typically occurring in systems and control theory. In this paper, free MATLAB toolbox YALMIP, developed initially to model SDPs and solve these by interfacing eternal solvers. The toolbox makes development of optimization problems in general, and control oriented SDP problems in particular, extremely simple. In fact, learning 3 YALMIP commands is enough for most users to model and solve the optimization problems

Added 2026-04-21