Title : 
Stability investigation for simple Pi-controlled traffic systems
         
        
            Author : 
Karafyllis, Iasson ; Papageorgiou, Markos
         
        
            Author_Institution : 
Dept. of Math., Nat. Tech. Univ. of Athens, Athens, Greece
         
        
        
        
        
        
            Abstract : 
This paper provides sufficient conditions for the Input-to-State Stability property of simple uncertain vehicular-traffic network models under the effect of a PI-regulator. Local stability properties for vehicular-traffic networks under the effect of PI-regulator control are studied as well: the region of attraction of a locally exponentially stable equilibrium point is estimated by means of Lyapunov functions.
         
        
            Keywords : 
Lyapunov methods; PI control; asymptotic stability; road traffic control; uncertain systems; Lyapunov functions; PI-controlled traffic systems; exponential stability; input-to-state stability; uncertain vehicular-traffic network models; Closed loop systems; Control theory; Discrete-time systems; Regulators; Reservoirs; Stability analysis; Traffic control; Nonlinear systems; PI-regulator; discrete-time systems;
         
        
        
        
            Conference_Titel : 
Communications, Control and Signal Processing (ISCCSP), 2014 6th International Symposium on
         
        
            Conference_Location : 
Athens
         
        
        
            DOI : 
10.1109/ISCCSP.2014.6877846