The Workshop on Control and Optimization Problems, 17-19 May, 2018, organized by Vietnam Institute for Advances Study in Mathematics and Institute of Mathematics-VAST provides a forum for scientists, researchers and doctoral students to exchange up-to-date knowledge and experience in control and optimization problems and their applications. With more than 50 participants from Vietnam, France, Poland, China, Thailand, the workshop comprised of 14 invited lectures and 8 short communications.