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