Hamiltonian (control Theory) - Definition of The Hamiltonian

Definition of The Hamiltonian

$H(x,\lambda,u,t)=\lambda^T(t)f(x,u,t)+L(x,u,t) \,$

where is a vector of costate variables of the same dimension as the state variables .

For information on the properties of the Hamiltonian, see Pontryagin's minimum principle.

Read more about this topic: Hamiltonian (control Theory)

Famous quotes containing the words definition of and/or definition:

“Perhaps the best definition of progress would be the continuing efforts of men and women to narrow the gap between the convenience of the powers that be and the unwritten charter.”
—Nadine Gordimer (b. 1923)

“The definition of good prose is proper words in their proper places; of good verse, the most proper words in their proper places. The propriety is in either case relative. The words in prose ought to express the intended meaning, and no more; if they attract attention to themselves, it is, in general, a fault.”
—Samuel Taylor Coleridge (1772–1834)