Conjugate Lyapunov functions for saturated linear systems

• Published in: Automatica (Oxford) Vol. 41; no. 11; pp. 1949 - 1956
• Main Authors: Hu, Tingshu, Goebel, Rafal, Teel, Andrew R., Lin, Zongli
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.11.2005; Elsevier
• Subjects: Applied sciences; Computer science; control theory; systems; Conjugate Lyapunov functions; Control system analysis; Control theory. Systems; Domain of attraction; Duality; Exact sciences and technology; Linear differential inclusions; Saturation; Linear differential inclusions; Conjugate Lyapunov functions; Duality; Domain of attraction; Saturation; Convex hull; Non linear control; Convex function; Differential inclusion; Optimization; Lyapunov function

Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that in terms of its conjugate function. This paper uses a particular pair of conjugate functions, the convex hull of quadrat...