This study introduces a new finite sum inequality to investigate the problem of delay-dependent stability analysis and controller synthesis for a discrete system with an interval time-varying input delay. By constructing a novel piecewise Lyapunov–Krasovskii functional and employing the proposed finite sum inequality to deal with sum items in the derivation of our results, simplified whereas improved delay-dependent stabilisation criteria are obtained with the less number of linear matrix inequalities scalar decision variables. Numerical examples show the effectiveness of the proposed method.
Inspec keywords: linear matrix inequalities; Lyapunov methods; delays; control system synthesis; time-varying systems; stability; discrete systems; stability criteria
Other keywords:
Subjects: Stability in control theory; Control system analysis and synthesis methods; Distributed parameter control systems; Time-varying control systems; Linear algebra (numerical analysis); Discrete control systems
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