Title :
Stability analysis of piecewise discrete-time linear systems
Author_Institution :
Dept. of Manuf. Eng. & Eng. Manage., City Univ. of Hong Kong, Kowloon, China
fDate :
7/1/2002 12:00:00 AM
Abstract :
Presents a stability analysis method for piecewise discrete-time linear systems based on a piecewise smooth Lyapunov function. It is shown that the stability of the system can be established if a piecewise Lyapunov function can be constructed and, moreover, the function can be obtained by solving a set of linear matrix inequalities (LMIs) that is numerically feasible with commercially available software.
Keywords :
Lyapunov methods; control system analysis; discrete time systems; linear systems; matrix algebra; stability; LMIs; linear matrix inequalities; piecewise discrete-time linear systems; piecewise smooth Lyapunov function; stability analysis; Control systems; Hysteresis; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear systems; Performance analysis; Piecewise linear techniques; Power system relaying; Stability analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.800666
