Abstract
This paper discusses strict linear matrix inequalities(LMIs) sufficient condition which can be removed of the equality constraint for linear continuous singular systems. The criteria of stability and stabilization of continuous singular system are presented. The conditions are expressed in terms of strict positive definite LMIs which can reduce the equality constraint and semi-positive definite LMIs and are much more tractable and reliable in numerical computation than existing conditions. The conditions make use of only the system parameter matrices (E, A, B) directly by a restricted equivalent transform without introducing other adjective parameters. A counterexample is given to illustrate the criteria are only a sufficient condition but not are a necessary condition. The idea presented can help to find necessary and sufficient strict LMI criteria without equality constraint conditions of stability and stabilization of continuous singular system.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
