On the Lyapunov equation in Banach spaces and applications to control problems.
Stabilization of linear continuous time-varying systems with state delays in Hilbert spaces.
Exponential stability of nonlinear time-varying differential equations and applications.
Asymptotic stability of nonlinear control systems described by difference equations with multiple delays.
Observer-based controller design of time-delay systems with an interval time-varying delay
This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent stabilizability...
Page 1