A time-delay equation: well-posedness to optimal control

• Published in: Open Physics Vol. 14; no. 1; pp. 212 - 220
• Main Authors: Yildirim, Kenan, Alkan, Sertan
• Format: Journal Article
• Language: English
• Published: De Gruyter Open 01.01.2016; De Gruyter
• Subjects: 62.20.dj; 62.20.fg; 62.30.+d; 64.30.Ef; Control; Maximum Principle; Time-delay; Vibration; Wellposedness

In this paper, well-posedness, controllability and optimal control for a time-delay beam equation are studied. The equation of motion is modeled as a time-delayed distributed parameter system(DPS) and includes Heaviside functions and their spatial derivatives due to the finite size of piezoelectric...