Qualitative properties for the 1-D Impulsive Wave Equation: Controllability and Observability

2021/06/05 by Zouhair, Walid, Aissa, Akram Ben · 1 citation
#35L05 #35R12 #93B05 #93B07 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2106.02868

Abstract

In this paper, we establish some important results for the impulsive wave equation. We begin by proving the existence of a solution. Then, we study the impulse approximate controllability where the control function acts on a subdomain ω and at one instant of time τ∈ (0, T). Afterward, we study impulse observability

Cited by

• Logarithmic Convexity and impulse Approximate Controllability for Degenerate Parabolic Equations with Robin Boundary Conditions

Related

• Controllability of the Strongly Damped Impulsive Semilinear Wave Equation with Memory and Delay
• Approximate controllability of non-autonomous second order impulsive functional evolution equations in Banach spaces
• Uniform observability of the one-dimensional wave equation for non-cylindrical domains. Application to the control's support optimization
• Approximate controllability of non-instantaneous impulsive fractional evolution equations of order 1
• The existence and controllability of nonautonomous system influenced by impulses on both state and control