Common weak linear copositive Lyapunov functions for positive switched linear systems
Summary: Lyapunov functions play a key role in the stability analysis of complex systems. In this paper, we study the existence of a class of Common Weak Linear Copositive Lyapunov Functions (CWCLFs) for Positive Switched Linear Systems (PSLSs) which generalize the conventional common linear copositive Lyapunov functions (CLCLFs) and can be used as handy tool to deal with the stability of PSLSs not covered by CLCLFs. We not only establish necessary and sufficient conditions for the existence of CWCLFs but also clearly describe the algebraic structure of all CWCLFs. Numerical examples are also given to demonstrate the effectiveness of the obtained results.
common weak linear copositive Lyapunov functions (CWCLFs)
positive switched linear systems (PSLSs)
scientific article; zbMATH DE number 6944128
scientific article