Title : 
On stability of non-linear and switched parabolic systems
         
        
            Author : 
Hao Yang ; Bin Jiang
         
        
            Author_Institution : 
Coll. of Autom. Eng., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China
         
        
        
        
        
        
        
        
            Abstract : 
This study investigates the stability of non-linear parabolic systems. Several stability conditions based on separable Lyapunov functions are provided. The new results are applied to switched non-linear parabolic systems with all stable modes or with unstable modes. An example of heat propagation control of semiconductor power chips is taken to illustrate the proposed methods.
         
        
            Keywords : 
Lyapunov methods; nonlinear control systems; time-varying systems; heat propagation control; semiconductor power chip; separable Lyapunov function; switched nonlinear parabolic system;
         
        
        
            Journal_Title : 
Control Theory & Applications, IET
         
        
        
        
        
            DOI : 
10.1049/iet-cta.2012.0752