Switching Rule for the Exponential Stability and Stabilization of Switched Linear Systems with Interval Time-varying Delays

This paper is concerned with exponential stability and stabilization of switched linear systems with interval time-varying delays. The time delay is any continuous function belonging to a given interval, in which the lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton-s formula, a switching rule for the exponential stability and stabilization of switched linear systems with interval time-varying delays and new delay-dependent sufficient conditions for the exponential stability and stabilization of the systems are first established in terms of LMIs. Numerical examples are included to illustrate the effectiveness of the results.

• Kreangkri Ratchagit

• Switching design
• exponential stability and stabilization
• switched linear systems
• interval delay
• Lyapunov function
• linear matrix inequalities.

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