Title : 
On the finite solution of nonlinear inequalities
         
        
            Author : 
Polak, E. ; Mayne, D.Q.
         
        
            Author_Institution : 
University of California, Berkeley, CA, USA
         
        
        
        
        
            fDate : 
6/1/1979 12:00:00 AM
         
        
        
        
            Abstract : 
We present an algorithm based on Newton´s method and a systematic enlargement of a feasible region for solving finitely, systems of nonlinear inequalities. The method depends crucially on the superlinear rate of convergence of Newton´s method.
         
        
            Keywords : 
Newton´s method; Asymptotic stability; Automatic control; Control systems; Design optimization; Differential equations; Feedback control; Linear systems; NASA; Nonlinear dynamical systems; Sliding mode control;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.1979.1102047