Stabilization of periodic orbits in a wedge billiard

This paper introduces a stabilization problem for an elementary impact control system in the plane. The rich dynamical properties of the wedge billiard, combined to the relevance of the associated stabilization problem for feedback control issues in legged robotics make it a valuable benchmark for energy-based stabilization of impact control systems.

Stadium and track before renovation, Chapman College, Orange, California

Stadium and track before renovation, Hutton Sports Center, 219 E. Sycamore St., Chapman College, Orange, California. The Harold Hutton Sports Center, completed in 1978, is named in honor of this former trustee, and made possible by a gift from his wife, Betty Hutton Williams. The facility was renovated in the 1990s.

Track and stadium, Chapman College, Orange, California

Track and stadium, Chapman College, Orange, California, in the 1970s.

Bleachers in old Chapman Stadium, Chapman University, Orange, California

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2

Chapman Stadium, Chapman University, Orange, California

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2000 after the son of the university's namesake, Irvin "Ernie" C. Chapman, who played football at Chapman in the early 1930's. The stadium was torn down in 2005 and fully rebuilt and is now part of the Erin J. Lastinger Athletics Complex at Chapman University.

Bleachers in Chapman Stadium, Chapman College, Orange, California

Bleachers in Chapman Stadium, Chapman College, Orange, California. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2000 after the son of the university's namesake, Irvin "Ernie" C. Chapman, who played football at Chapman in the early 1930s. The stadium was torn down in 2005 and fully rebuilt and is now part of the Erin J. Lastinger Athletics Complex at Chapman University.

Chapman Stadium athletics field, Chapman University, Orange, California

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2

Bleachers in old Chapman Stadium, Chapman University, Orange, California

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2

Old Chapman Stadium, Chapman University, Orange, California

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2

Old Chapman Stadium bleachers, Chapman University, Orange, California

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2

Old Chapman Stadium, Chapman University, Orange, California

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2

Old Chapman Stadium bleachers and field, Chapman University, Orange, California

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005

Chapman Stadium shortly before demolition, Chapman University, Orange, California, 2005. This stadium was originally constructed in 1934 by Orange Union High School, Orange, California. Ownership transferred to Chapman College in 1954. It was re-named in 2

A case study of intelligent buildings: Manchester stadium

This paper provides a case study of the City of Manchester Stadium based on relevant literatures, based on a comprehensive description of multidisciplinary, cross-sectoral and future-oriented requirements and operations in the design of modern intelligent sports buildings. The successfulness of the City of Manchester Stadium gives constructive experience and knowledge for the building professions including architecture, building structure, building services, construction, and facilities management, etc. In addition, this paper is valuable for developing intelligent sports buildings in China.