Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights
Aowen Kong, Carlos Nonato, Wenjun Liu, M. J. Dos Santos, Carlos A. Raposo
Abstract
<p style='text-indent:20px;'>This paper is concerned with system of magnetic effected piezoelectric beams with interior time-varying delay and time-dependent weights, in which the beam is clamped at the two side points subject to a single distributed state feedback controller with a time-varying delay. Under appropriate assumptions on the time-varying delay term and time-dependent weights, we obtain exponential stability estimates by using the multiplicative technique, and prove the equivalence between stabilization and observability.</p>
Topics & Concepts
ObservabilityEquivalence (formal languages)Multiplicative functionControl theory (sociology)MathematicsExponential stabilityStability (learning theory)Exponential functionNorm (philosophy)Mathematical analysisApplied mathematicsComputer sciencePhysicsControl (management)Discrete mathematicsNonlinear systemLawPolitical scienceMachine learningQuantum mechanicsArtificial intelligenceStability and Controllability of Differential EquationsAeroelasticity and Vibration ControlThermoelastic and Magnetoelastic Phenomena