Control and Observation Problems in Banach Spaces. Optimal Control and Maximum Principle. Applications to Ordinary Differential Equations in ℝn

Autor: A. I. Prilepko
Rok vydání: 2019
Předmět:
Zdroj: Differential Equations. 55:1630-1640
ISSN: 1608-3083
0012-2661
DOI: 10.1134/s0012266119120097
Popis: In a Banach space, we study an equation of the first kind as an observation problem, with the adjoint equation considered as a control problem. The Banach uniqueness and existence method and the monotone mapping method are applied to the study of these observation and control problems. For the case of reflexive Banach spaces, a controllability criterion and an abstract maximum principle are proved. In particular, it is established that continuous observability implies the existence and uniqueness of the solution of the inverse controllability problem and an estimate for the solution.
Databáze: OpenAIRE