A maximum principle for infinite time asymptotically stable impulsive dynamic control systems

• Type: Article in International Conference Proceedings Book
• Date: 2010

Authors

Pereira, FL (Author) FEUP; Silva, GN (Author) Other

Conference proceedings International

Title: IFAC Proceedings Volumes (IFAC-PapersOnline)

Pages: 1326-1331

8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010

Bologna, 1 September 2010 through 3 September 2010

Indexing

ISI Web of Knowledge

Scopus - 1 Citation

Scientific classification

CORDIS: Technological sciences

Other information

Authenticus ID: P-007-ZR4

DOI: 10.3182/20100901-3-it-2016.00272

Abstract (EN): We consider an infinite horizon optimal impulsive control problems for which a given cost function is minimized by choosing control strategies driving the state to a point in a given closed set C¿. We present necessary conditions of optimality in the form of a maximum principle for which the boundary condition of the adjoint variable is such that non-degeneracy due to the fact that the time horizon is infinite is ensured. These conditions are given for conventional systems in a first instance and then for impulsive control problems. They are proved by considering a family of approximating auxiliary interval conventional (without impulses) optimal control problems defined on an increasing sequence of finite time intervals. As far as we know, results of this kind have not been derived previously. © 2010 IFAC.

Language: English

Type (Professor's evaluation): Scientific