SIAM Journal on Control and Optimization, Vol.43, No.6, 2089-2108, 2005
Asymptotic stability for intermittently controlled second-order evolution equations
Motivated by several works on ordinary differential equations, we are interested in the asymptotic stability of intermittently controlled partial differential equations. We give a condition of asymptotic stability for second-order evolution equations uniformly damped by an on/off feedback. This result extends to the case of partial differential equations a previous result of R. A. Smith concerning ordinary differential equations.