Stabilization of Linear Differential-algebraic Equations with Time-varying Delay
نویسنده
چکیده
Stabilization involves finding feedback controllers which stabilize the closed-loop system in the finite-time sense. Stability and control have been developed in the literature using Lyapunov-like method. In this paper, we develop a general framework for stabilization of linear differential-algebraic equations with time-varying delay. Based on Lyapunov-like function method and new bound estimation technique, we provide sufficient conditions for global stabilization. The proposed conditions expressed in terms of linear matrix inequalities allow us to find state feedback controllers which stabilize the closedloop system in the interval.
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