Titlebook: Control Theory from the Geometric Viewpoint; Andrei A. Agrachev,Yuri L. Sachkov Book 2004 Springer-Verlag Berlin Heidelberg 2004 Lie brack

itinerary

Phagocytes

https://doi.org/10.1007/978-3-658-06809-7A well-known theorem states that if a level surface of a Hamiltonian is convex, then it contains a periodic trajectory of the Hamiltonian system [142], [147]. In this chapter we prove a more general statement as an application of optimal control theory for linear systems.

GLUT

,Venezia Verde – Grünes Venedig?,In this chapter we study the following optimal control problem:.where . is a compact convex polytope in ?., and A and . are constant matrices of order . × . and . × . respectively. Such problem is called ..

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態(tài)學(xué)

myriad

The Orbit Theorem and its Applications,Let . ? Vec . be any set of smooth vector fields. In order to simplify notation, we assume that all fields from . are complete. Actually, all further definitions and results have clear generalizations to the case of noncomplete fields; we leave them to the reader.

漫不經(jīng)心

Rotations of the Rigid Body,In this chapter we consider rotations of a . around a fixed point. That is, we study motions of a body in the three-dimensional space such that:.We consider both free motions (in the absence of external forces) and controlled motions (when external forces are applied in order to bring the body to a desired state).