Title :
On the construction of invariant proper C-polytopic sets for continuous-time linear systems
Author :
Athanasopoulos, Nikolaos ; Lazar, Mircea ; Bitsoris, George
Author_Institution :
Dept. of Electr. Eng., Eindhoven Univ. of Technol., Eindhoven, Netherlands
Abstract :
This paper presents a method for iteratively enlarging a given invariant (contractive) proper C-polytopic set for continuous-time linear systems. It is proven that the proposed algorithm generates a monotonic sequence of invariant (contractive) proper C-polytopic sets. The distinguishing feature of the algorithm is a novel, geometric approach to the set expansion problem. Several examples demonstrate the effectiveness of the proposed method.
Keywords :
continuous time systems; geometry; linear systems; set theory; stability; continuous-time linear systems; contractive set; geometric approach; invariant proper C-polytopic sets; monotonic sequence; set expansion problem; stability analysis; Approximation methods; Indexes; Linear matrix inequalities; Linear systems; Optimization; Silicon; Vectors;
Conference_Titel :
System Theory, Control and Computing (ICSTCC), 2012 16th International Conference on
Conference_Location :
Sinaia
Print_ISBN :
978-1-4673-4534-7
