Title : 
On the minimax solution of multiple linear-quadratic problems
         
        
        
            Author_Institution : 
Dept. of Syst. Eng., Virginia Univ., Charlottesville, VA, USA
         
        
        
        
        
            fDate : 
10/1/1990 12:00:00 AM
         
        
        
        
            Abstract : 
Multiple linear-quadratic problems are studied. A set of coupling Riccati equations is derived for vector-valued-cost-to-go. A minimax solution of multiobjective convex problems is proven to be an equalizer strategy. This permits the development of a new algorithm for finding the minimax solution for multiple linear-quadratic problems
         
        
            Keywords : 
minimax techniques; optimal control; Riccati equations; equalizer strategy; minimax solution; multiobjective convex problems; multiple linear-quadratic problems; Control systems; Differential equations; Equalizers; Intersymbol interference; Linear matrix inequalities; Linear systems; Minimax techniques; Riccati equations; Symmetric matrices; Vectors;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on