Abstract
Some effective methods developed in preceding studies of control systems representable by differential inclusions with unbounded right-hand sides (velocity sets) are generalized and extended on a more wide class of systems including ones with well bounded velocity sets when investigating their sliding modes as optimal solutions. It is attained by proper extension of the original inclusion to an unbounded one (what is called singularization) and further transformation to a control system of reduced order. As the result mutual compatible sufficient and necessary optimality conditions for sliding modes are deduced. The latter ones are local maximum conditions with respect to some multitude in state space as additional to usual maximum principle local maximum conditions with respect to some multitude in state space.
Sign-in/Register to access full text options 
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.
