Title :
On unsolvability of nonlinear system stability
Author :
Hyotyniemi, Heikki
Author_Institution :
Control Eng. Lab., Helsinki Univ. of Technol., Espoo, Finland
Abstract :
Any algebraically computable function can be expressed as a nonlinear discrete-time system of the form s(k + 1) = f(As(k)), where f(·) is a simple `cut´ operation. This result is utilized to demonstrate that there cannot exist any general decision procedure for analysing the stability of systems of the above form.
Keywords :
Turing machines; discrete time systems; nonlinear control systems; stability; algebraically computable function; nonlinear discrete-time system; nonlinear system stability; simple cut operation; Electronics packaging; Europe; Hafnium; High definition video; Iron; Turing machines; discrete-time systems; nonlinear dynamics; stability;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
