This paper studies a vertical powered descent problem in the context of planetary landing, considering glide-slope and thrust pointing constraints minimizing any final cost. In first time, it proves Max-Min-Max or Max-Singular-Max form optimal control using Pontryagin Maximum Principle, extends this result to formulation effect an atmosphere. It also shows that singular structure does not appea...

natural hazards such as earthquakes have threatened the life of human beings during the history.as a consequence, the vibration mitigation of structures has caught great importance. activecontrol of structures is one of the rapidly emerging areas in the concept of structural control. thispaper presents a control method to deal with this subject when the dynamics of the structure ishysteretic an...