A novel stability criterion for a class of networked control systems using some integral inequalities

This paper is concerned with the stability problem of networked control systems in the continue-time domain. The network-induced delay is assumed to be differential with interval bounds, in which the delay derivative is also bounded in an interval. Some integral inequalities are employed to estimate some quadratic terms appearing in the time-derivative of the chosen Lyapunov-Krasovskii (LK) functional. This novel integral inequality technique can provide tighter upper bounds for some quadratic terms. Since we construct a tunable delay-partition-dependent LK functional, derived stability criterion has advantage over existing ones, in which the upper bounds of the derivative in quadratic terms are fully estimated. The stability condition can also work when upper bound of delay derivative is greater than one. Finally, two examples are given to show the merit and effectiveness of the proposed approach.