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In this paper, we address the disturbance attenuation problem for a class of state delay switched linear systems with exponential uncertainties via switched state feedback and switched dynamic output feedback, respectively. By using Taylor series approximation and convex polytope technique, exponentially uncertain switched linear systems with state delay is transformed into an equivalent switched polytopic model with additive norm bounded uncertainty. For such equivalent switched model, we design its switching strategy and associated state feedback sub controllers or dynamic output feedback sub-controllers so that whole switched model is asymptotical stabilization with H  disturbance attenuation based on multiple Lyapunov function technology and LMI approach.

Disturbance Attenuation for a Class of Exponentially Uncertain Switched Linear Systems with State Delay