Introduction -- Basics of differential games -- Theory of dissipative systems -- Hamiltonian mechanics and Hamilton-Jacobi theory -- State-feedback nonlinear H [infinity]-control for continuous-time systems -- Output-feedback nonlinear H [infinity]-control for continuous-time sy…
Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It…
Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It…
Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It…
"The Principle of Least Action originates in the idea that, if Nature has a purpose, it should follow a minimum or critical path. This simple principle (and its variants and generalizations) applies to optics, mechanics, electromagnetism, relativity and quantum mechanics, and pr…
"The Principle of Least Action originates in the idea that, if Nature has a purpose, it should follow a minimum or critical path. This simple principle (and its variants and generalizations) applies to optics, mechanics, electromagnetism, relativity and quantum mechanics, and pr…
"The Principle of Least Action originates in the idea that, if Nature has a purpose, it should follow a minimum or critical path. This simple principle (and its variants and generalizations) applies to optics, mechanics, electromagnetism, relativity and quantum mechanics, and pr…
The principle of least action originates in the idea that, if nature has a purpose, it should follow a minimum or critical path. This simple principle, and its variants and generalizations, applies to optics, mechanics, electromagnetism, relativity, and quantum mechanics, and pr…
Prehistory of variational principles -- An excursio to Newton's Principia -- The optical-mechanical analogy, Part I: D'Alembert, Lagrange, and the statics-dynamics analogy -- The optical mechanical analogy, Part II: the Hamilton-Jacobi equation -- Relativity and least action -- …
"The Principle of Least Action originates in the idea that, if Nature has a purpose, it should follow a minimum or critical path. This simple principle (and its variants and generalizations) applies to optics, mechanics, electromagnetism, relativity and quantum mechanics, and pr…
This text brings history and the key fields of physics together to present a unique technical discussion of the principles of least action.