This text presents some advances in optimal control, both in theory, algorithms, and applications. Theoretical developments include the analysis of feedback stability for the thermoelastic systems and extensions of the maximum principle. Algorithmic developments include new formulations of the augmented gradient projection method, and sequential quadratic programming methodologies. Application areas include aerospace design, operation of hydro power stations, and chemical engineering. The text should be of interest to: applied mathematicians; control theorists; engineers involved with aerospace design; chemical engineers; and hydraulic engineers.