New delay-dependent stability criteria for systems with interval delay.

*(English)*Zbl 1168.93387Summary: This paper provides a new delay-dependent stability criterion for systems with a delay varying in an interval. With a different Lyapunov functional defined, a tight upper bound of its derivative is given. The resulting criterion has advantages over some previous ones in that it involves fewer matrix variables but has less conservatism, which is established theoretically. Examples are provided to demonstrate the advantage of the stability result.

##### MSC:

93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |

93C05 | Linear systems in control theory |

93C15 | Control/observation systems governed by ordinary differential equations |

15A39 | Linear inequalities of matrices |

##### Keywords:

time-varying delay; delay-dependent; Lyapunov functional; stability; linear matrix inequality (LMI)
Full Text:
DOI

##### References:

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