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Stability analysis and control synthesis for a class of switched neutral systems. (English) Zbl 1117.93062
Summary: The problems of asymptotical stability and stabilization of a class of switched neutral control systems are investigated. A delay-dependent stability criterion is formulated in term of linear matrix inequalities (LMIs) by using quadratic Lyapunov functions and inequality analysis technique. The corresponding switching rule is obtained through dividing the state space properly. Also, the synthesis of stabilizing state-feedback controllers are done such that the close-loop system is asymptotically stable. Two numerical examples are given to show the proposed method.
MSC:
93D20Asymptotic stability of control systems
93D30Scalar and vector Lyapunov functions
34K40Neutral functional-differential equations
93C15Control systems governed by ODE
93C05Linear control systems