Geodesic
Delay-dependent robust stability conditions and decay estimates for systems with input delays
Kybernetika, Tome 34 (1998) no. 6, p. [681].

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The robust stabilization of uncertain systems with delays in the manipulated variables is considered in this paper. Sufficient conditions are derived that guarantee closed-loop stability under state-feedback control in the presence of nonlinear and/or time-varying perturbations. The stability conditions are given in terms of scalar inequalities and do not require the solution of Lyapunov or Riccati equations. Instead, induced norms and matrix measures are used to yield some easy to test robust stability criteria. The problem of constrained control is also discussed, and alternative stability tests for the case of saturation nonlinearities are presented. Estimates of the transient behavior of the controlled system are also obtained. Finally, an example illustrates the results.
Classification : 34K35, 93C23, 93C41, 93D09, 93D15, 93D21
Keywords: robust stability; state-feedback control; uncertain input delay; alternative stability tests; closed-loop stability; time-varying perturbations; decay estimates; transient behavior 
@article{KYB_1998__34_6_a6,
     author = {Hrissagis, Kostas and Kosmidou, Olga I.},
     title = {Delay-dependent robust stability conditions and decay estimates for systems with input delays},
     journal = {Kybernetika},
     pages = {[681]},
     publisher = {mathdoc},
     volume = {34},
     number = {6},
     year = {1998},
     mrnumber = {1695371},
     zbl = {1274.93217},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1998__34_6_a6/}
}
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Hrissagis, Kostas; Kosmidou, Olga I. Delay-dependent robust stability conditions and decay estimates for systems with input delays. Kybernetika, Tome 34 (1998) no. 6, p. [681]. http://geodesic.mathdoc.fr/item/KYB_1998__34_6_a6/