Title :
Stability analysis for linear systems under State constraints
Author :
Fang, Haijun ; Lin, Zongli
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA
fDate :
6/1/2004 12:00:00 AM
Abstract :
This note revisits the problem of stability analysis for linear systems under state constraints. New and less conservative sufficient conditions are identified under which such systems are globally asymptotically stable. Based on these sufficient conditions, iterative linear matrix inequality (LMI) algorithms are proposed for testing global asymptotic stability of the system. In addition, these iterative LMI algorithms can be adapted for the design of globally stabilizing state feedback gains.
Keywords :
asymptotic stability; iterative methods; linear matrix inequalities; linear systems; nonlinear control systems; state feedback; global asymptotic stability; iterative linear matrix inequality; linear systems; nonlinear systems; stability analysis; state constraints; state feedback gains; Algorithm design and analysis; Asymptotic stability; Hypercubes; Iterative algorithms; Linear matrix inequalities; Linear systems; Stability analysis; State feedback; Sufficient conditions; System testing; Nonlinear systems; stability; state constraints; state saturation;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.829614
