Variational Methods and Optimal Control III

 
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  • Various files used in each lecture
    lecture01: Introduction: motivation and revision
    lecture02: revision (extrema of surfaces, Taylor's theorem, the chain rule, ...)
    lecture03: revision (constrained extrema and Lagrange multipliers)
    lecture04: The 1st Variation: Euler-Lagrange formulation of the fixed end-point problem
    lecture05: autonomous problems: the catenary
    lecture06: autonomous problems: the brachystochrone
    lecture07: geodesics
    lecture08: invariance of the E-L equations, and degenerate equations
    lecture09: extensions: higher-order derivatives
    lecture10: extensions: several dependent variables
    lecture11: extensions: several independent variables
    lecture12: Numerical solutions
    lecture13: Numerical solutions continued
    lecture14: Constraints: integral constraints
    lecture15: integral constraints and Dido's problem
    lecture16: non-integral constraints and intro to optimal control
    lecture17: Free end points and natural boundary conditions
    lecture18: free and movable end points
    lecture19: transversals
    lecture20: broken extremals and corner conditions
    lecture21: Inequality constraints and optimal control
    lecture22: optimal control examples: planned growth
    lecture23: optimal control example: rocket launch profile
    lecture24: Hamilton's formulation
    lecture25: conservation laws and Noether's theorem
    lecture26: Pontryagin Maximum Principle and modern optimal control theory
    lecture27: bang-bang controllers
    lecture28: feedback controllers
    lecture29: Classification of extrema
    lecture30: revision


  • Matlab files from each lecture
    lecture01: Introduction: motivation and revision
    lecture02: revision (extrema of surfaces, Taylor's theorem, the chain rule, ...)
    lecture03: revision (constrained extrema and Lagrange multipliers)
    lecture04: The 1st Variation: Euler-Lagrange formulation of the fixed end-point problem
    lecture05: autonomous problems: the catenary
    lecture06: autonomous problems: the brachystochrone
    lecture07: geodesics
    lecture08: invariance of the E-L equations, and degenerate equations
    lecture09: extensions: higher-order derivatives
    lecture10: extensions: several dependent variables
    lecture11: extensions: several independent variables
    lecture12: Numerical solutions
    lecture13: Numerical solutions continued
    lecture14: Constraints: integral constraints
    lecture15: integral constraints and Dido's problem
    lecture16: non-integral constraints and intro to optimal control
    lecture17: Free end points and natural boundary conditions
    lecture18: free and movable end points
    lecture19: transversals
    lecture20: broken extremals and corner conditions
    lecture21: Inequality constraints and optimal control
    lecture22: optimal control examples: planned growth
    lecture23: optimal control example: rocket launch profile
    lecture24: Hamilton's formulation
    lecture25: conservation laws and Noether's theorem
    lecture26: Pontryagin Maximum Principle and modern optimal control theory
    lecture27: bang-bang controllers
    lecture28: feedback controllers
    lecture29: Classification of extrema
    lecture30: revision



Matthew Roughan

Last modified: Thu Apr 14 14:44:19 2016