Abstract

In this note, the controllability for a class of linear time varying impulsive systems with time delay in control input is studied. Sufficient and necessary conditions for the controllability of such systems are established. Specializing the obtained results to the cases of linear time-varying impulsive systems and linear time invariant impulsive systems with time delay, some simple criteria with respect to coefficient matrices, which are less conservative than some existing results are derived. It is also shown that the time delay in control input contributes to achieve the controllability of impulsive system even if the system is not controllable. Two examples are worked out to illustrate our results.

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 call

Disclaimer: 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.