Introductory Optimization Dynamics: Optimal Control with Economics and Management Science Applications |
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Introductory Optimization Dynamics: Optimal Control with Economics and ... P.N.V. Tu Limited preview - 2013 |
Introductory Optimization Dynamics: Optimal Control with Economics and ... Pierre N. V. Tu,Pierre Ninh Van Tu No preview available - 1984 |
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arbitrary constants bang-bang bang-bang control boundary conditions C₁ c₂ Calculus of Variations capital Chapter concave concave function Consider the problem consumption utility control variables convex cost curve defined differential equation dt subject dx(T dynamic system E-function equilibrium Euler equation gives examined Example extremal extremum fixed end points functional J(x Hamiltonian hence implies inequality constraints initial isoperimetric Jacobi condition Jacobi equation Legendre condition Lemma linear Linear Regulator marginal utility matrix maximize Maximum Principle minimize minimum problem n-vectors necessary condition non-renewable resources objective functional obtained output P₁ P₂ P₂(t Pontryagin Pontryagin's Maximum Principle Riccati equation satisfied singular control solution Substitution sufficient conditions switching function terminal theorem transversality conditions unspecified vanish variational problem vector Weierstrass Weierstrass E-function ак ән дх นน