Calculus of Variations and Control Theory

Catalin Lefter is a Professor in the department of Mathematics at Al. I . Cuza University, Romania. His main areas of interest lies in Partial Differential Equations and Control Theory.

Introduction. Fundamentals of differential geometry. The fundamental problem in calculus of variations. Hamiltonian formalism. Geometric calculus of variations. Control of linear systems. Geometric approach to optimal control problems. Controllability of differential systems. Semigroups of operators and evolution equations. Convex optimization and convex control problems. Linearquadratic optimal control problems for parabolic type equations. Controllability of parabolic equations and systems. Stabilization of parabolic type systems.