Title : 
On estimating the region of asymptotic stability using Liapunov´s method
         
        
        
            Author_Institution : 
Louisiana State University, Baton Rouge, LA, USA
         
        
        
        
        
            fDate : 
12/1/1967 12:00:00 AM
         
        
        
        
            Abstract : 
The problem of estimating the region of asymptotic stability is formulated as a minimization problem, and the Davidon search routine is applied to obtain the minimum. This approach is compared with the tangency method of Rodden for one example problem.
         
        
            Keywords : 
Asymptotic stability; Lyapunov methods; Asymptotic stability; Automatic control; Differential equations; Lagrangian functions; Minimization methods; State estimation; State-space methods;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.1967.1098757