Title :
A Remark on an Example By Teel–Hespanha With Applications to Cascaded Systems
Author :
Astolfi, Alessandro
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll., London
Abstract :
The properties of a system, proposed by Teel and Hespanha, which is globally exponentially stable but with state that can be driven to infinity by an arbitrarily small exponentially decaying disturbance, are discussed in detail. These are used to propose a family of systems with a similar property and to argue that unstable behavior may be nongeneric and not detected by means of simulations. Finally, sufficient conditions for the existence of unbounded trajectories in cascaded systems are given
Keywords :
asymptotic stability; cascade systems; nonlinear control systems; cascaded system; global exponential stability; nonlinear system; unbounded trajectories; Displays; H infinity control; History; Nonlinear equations; Nonlinear systems; Predictive models; Stability; Sufficient conditions; Cascaded systems; nonlinear systems; stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.889870
