How do you fly an airplane from one point to another as fast as possible? What is the best way to administer a vaccine to fight the harmful effects of disease? What is the most efficient way to produce a chemical substance? This book presents practical methods for solving real optimal control problems such as these. Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition focuses on the direct transcription method for optimal control. It features a summary of relevant material in constrained optimization, including nonlinear programming; discretization techniques appropriate for ordinary differential equations and differential-algebraic equations; and several examples and descriptions of computational algorithm formulations that implement this discretize-then-optimize strategy. The third edition has been thoroughly updated and includes new material on implicit Runge–Kutta discretization techniques, new chapters on partial differential equations and delay equations, and more than 70 test problems and open source FORTRAN code for all of the problems. This book will be valuable for academic and industrial research and development in optimal control theory and applications. It is appropriate as a primary or supplementary text for advanced undergraduate and graduate students.
The book describes how sparse optimization methods can be combined with discretization techniques for differential-algebraic equations and used to solve optimal control and estimation problems. The interaction between optimization and integration is emphasized throughout the book.
Brigham Young was a rough-hewn New York craftsman whose impoverished life was electrified by the Mormon faith. Turner provides a fully realized portrait of this spiritual prophet, viewed by followers as a protector and by opponents as a heretic. His pioneering faith made a deep imprint on tens of thousands of lives in the American Mountain West.
For years Robert Newton Baskin (1837–1918) may have been the most hated man in Utah. Yet his promotion of federal legislation against polygamy in the late 1800s and his work to bring the Mormon territory into a republican form of government were pivotal in Utah’s achievement of statehood. The results of his efforts also contributed to the acceptance of the Church of Jesus Christ of Latter-day Saints by the American public. In this engaging biography—the first full-length analysis of the man—author John Gary Maxwell presents Baskin as the unsung father of modern Utah. As Maxwell shows, Baskin’s life was defined by conflict and paradox. Educated at Harvard Law School, Baskin lived as a member of a minority: a “gentile” in Mormon Utah. A loner, he was highly respected but not often included in the camaraderie of contemporary non-Mormon professionals. When it came to the Saints, Baskin’s role in the legal aftermath of the Mountain Meadows massacre did not endear him to the Mormon people or their leadership. He was convinced that Brigham Young made John D. Lee the scapegoat—the planner and perpetrator of the massacre—to obscure complicity of the LDS church. Baskin was successful in Utah politics despite using polygamy as a sledgehammer against Utah’s theocratic government and despite his role as a federal prosecutor. He was twice elected mayor of Salt Lake City, served in the Utah legislature, and became chief justice of the Utah Supreme Court. He was also a visionary city planner—the force behind the construction of the Salt Lake City and County Building, which remains the architectural rival of the city’s Mormon temple. For more than a century historians have maligned Baskin or ignored him. Maxwell brings the man to life in this long-overdue exploration of a central figure in the history of Utah and of the LDS church.
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