Title :
Estimating Quadratic Stability Domains by Nonsmooth Optimization
Author :
Hauser, John ; Lai, Michael C.
Author_Institution :
Fred O´´Green Assistant Professor of Engineering, Dept of Electrical Engineering - Systems, University of Southern California, Los Angeles, CA 90089-2563
Abstract :
In this paper, we present a nonsmooth algorithm for computing quadratic (i.e., ellipsoidal) estimates of the domain of attraction for exponentially stable nonlinear systems. Our algorithm generates a sequence of ellipsoidal estimates, each of which has the maximum volume for the current shape and orientation. The effectiveness of our approach is demonstrated using a simple example.
Keywords :
Constraint optimization; Convergence; Differential equations; Lyapunov method; Nonlinear systems; Optimization methods; Partial differential equations; Shape; Stability analysis; System performance;
Conference_Titel :
American Control Conference, 1992
Conference_Location :
Chicago, IL, USA
Print_ISBN :
0-7803-0210-9
