Interdisciplinary Mathematics, Volume 9Math Sci Press, 1974 - Mathematics |
Contents
Lies Theory of Groups and Differential Equations | 1 |
Systems in the Restricted Sense | 13 |
2 | 23 |
Copyright | |
28 other sections not shown
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Common terms and phrases
1-forms calculus of variations called Caratheodory Cartan form Chapter characteristic vector classical mechanics closed 2-form condition is satisfied Consider constitutive relation control theory cross-section map defined Definition denote derived system DGCV diffeomorphisms differential forms differential-geometric dimension direct sum dual Exercise extremal field finite dimensional following condition following form geometric Hamilton equations Hamiltonian Hence ideas input input-output system integral curve interaction Kronecker system Lagrange multiplier Lagrangian Lie algebra Lie system linear map linear subspace M₁ manifold mathematical matrix mechanical system n-port notations notion optimal control ordinary differential equations Pfaffian system polynomial Proof real-valued function Remark Section Show solution space of variables structure submanifold Suppose symplectic system equations systems theory tangent bundle tangent vector Theorem 6.1 thermodynamics V₁ V₂ variational problem vector field system voltage ан ах ән ди