02512nmm a2200409 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002500139245009400164250001700258260006300275300003200338505027100370653003400641653002800675653004400703653001900747653002800766653001800794653002400812653001300836653003400849653003000883653001500913653006000928653002700988041001901015989003801034490005401072028002301126856006501149082001001214520087801224EB000657467EBX0100000000000000051054900000000000000.0cr|||||||||||||||||||||140122 ||| eng a97835404688991 aHabets, Luc C.G.J.M.00aRobust Stabilization in the Gap-topologyhElektronische Ressourcecby Luc C.G.J.M. Habets a1st ed. 1991 aBerlin, HeidelbergbSpringer Berlin Heidelbergc1991, 1991 aVII, 129 pbonline resource0 aRobust stabilization -- The gap-topology -- Sufficient conditions for robust bibo stabilization -- Optimally robust control -- An algorithm to compute an optimally robust controller and its stability radius -- Reduction of the order of the compensator -- Conclusions aControl, Robotics, Automation aEngineering mathematics aCalculus of Variations and Optimization aControl theory aSystems Theory, Control aSystem theory aControl engineering aRobotics aEngineering / Data processing aMathematical optimization aAutomation aMathematical and Computational Engineering Applications aCalculus of variations07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aLecture Notes in Control and Information Sciences50a10.1007/BFb000736040uhttps://doi.org/10.1007/BFb0007360?nosfx=yxVerlag3Volltext0 a629.8 aThe author presents a topological approach to the problem of robustness of dynamic feedback control. First the gap-topology is introduced as a distance measure between systems. In this topology, stability of the closed loop system is a robust property. Furthermore, it is possible to solve the problem of optimally robust control in this setting. The book can be divided into two parts. The first chapters form an introduction to the topological approach towards robust stabilization. Although of theoretical nature, only general mathematical knowledge is required from the reader. The second part is devoted to compensator design. Several algorithms for computing an optimally robust controller in the gap-topology are presented and worked out. Therefore we hope that the book will not only be of interest to theoreticians, but that also practitioners will benefit from it