State feedback design with CWEAS constraints

The paper presents mathematical developments that support new design techniques for constrained stabilization of linear systems. The constraints can operate on (i) state variables, (ii) state variables and feedback matrix gain, or (iii) state variables and control actions. The state variable constraints in (i) - (iii) exploit the properties of a particular type of stability called componentwise exponential asymptotic stability (CWEAS) that ensures the individual monitoring of each state variable for the entire evolution of the system. The synthesis procedures are formulated as linear programming problems, with robust numerical tractability that ensures a large applicability in practice.