**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32918

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

**Authors:**
Kreangkri Ratchagit

**Abstract:**

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.

**Keywords:**
Switching design,
exponential stability and stabilization,
switched linear systems,
interval delay,
Lyapunov function,
linear matrix inequalities.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1080187

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