lecture26: Pontryagin Maximum Principle and modern optimal control theory

Topics covered

• General control problem
• Pontryagin Maximum Principle (PMP)
• PMP proof sketch
• PMP Example: plant growth %
• Example: optimal economic growth
• PMP and Transversal conditions
• Example: stimulated plant growth
• Plant growth problem statement
• Plant growth: natural boundary cond.
• Autonomous problems
• PMP Example: Gout
• PMP Example: Lunar lander
• PMP Example: Lunar lander