A CLASS OF OPTIMAL CONTROL PROBLEMS OF SYSTEMS GOVERNED BY THE FIRST ORDER LINEAR DYNAMIC EQUATIONS ON TIME SCALES

作者：Gong Y^*; Xiang X

来源：Journal of Industrial and Management Optimization, 2009, 5(1): 1-10.

DOI：10.3934/jimo.2009.5.1

• time scales
• Delta-derivative
• dynamic equations
• Banach space
• Arzela-Ascoli theorem
• optimal control

This paper is mainly concerned with a class of optimal control problems of systems governed by the first order linear dynamic equations on time scales with quadratic cost functionals. Introducing the weak solutions of the first order linear dynamic equations and presenting the Arzela-Ascoli theorem on time scales, we prove the existence of solution to a class of linear quadratic optimal control problems on time scales.

• 出版日期2009-2
• 单位贵州大学