Differential-algebraic equations (DAEs) provide an essential tool for system modeling and
analysis within different fields of applied sciences and engineering. This book addresses …

The multisymplectic formalism of field theories developed by many mathematicians over the
last fifty years is extended in this work to deal with manifolds that have boundaries. In …

1. Introduction Control theory isa young branch of mathematics that has developed mostlyin
therealm ofengineeringproblems. It is splitted in two major branches; control theory of …

This paper extends the Gotay-Nester and the Dirac theories of constrained systems in order
to deal with Dirac dynamical systems in the integrable case. Integrable Dirac dynamical …

In this paper, a numerical method for solving the constrained optimal control of time-varying
singular systems with quadratic performance index is presented. Presented method is based …

In optimal control problems, the Hamiltonian function is given by the weighted sum of the
integrand of the cost function and the dynamic equation. The coefficient multiplying the …

A numerical algorithm to obtain the consistent conditions satisfied by singular arcs for
singular linear–quadratic optimal control problems is presented. The algorithm is based on …

We geometrically describe optimal control problems in terms of Morse families in the
Hamiltonian framework. These geometric structures allow us to recover the classical first …

A family of optimal control problems for a single and two coupled spinning particles in the
Euler–Lagrange formalism is discussed. A characteristic of such problems is that the …

A new relation among a class of optimal control systems and Lagrangian systems with
symmetry is discussed. It will be shown that a family of solutions of optimal control systems …