Karan, Mehmet2016-01-082016-01-081990http://hdl.handle.net/11693/17266Ankara :The Department of Electrical and Electronics Engineering and the Institute of Engineering and Sciences of Bilkent Univ. , 1990.Thesis (Master's) -- Bilkent University, 1990.Includes bibliographical references.In this thesis, robustness of stability of linear, time-invariant, continuousand discrete-time systems is investigated. Only state-space models and additive perturbations are considered. Existing results concerning stability robustness of continuous-time systems, based on Liapunov approach and continuity of eigenvalues, are reviewed; and similar results for discretetime systems under single- and multi-parameter additive jDerturbations are derived. An inherent difficulty which originates from mixed linear and bilinear appearance of perturbation parameters in inequalities defining robustness regions of discrete-time systems is resolved by transforming the problem to robustness of a higher order continuous-time system. Finally, stability robustness of discrete-time interconnected systems is studied, and various approaches are compared.x, 60 leavesEnglishinfo:eu-repo/semantics/openAccessDiscrete-time systemsRobust StabilityAdditive perturbationsLiapunov stabilityInterconnected systemsTK153 .K18 1990Stability.Linear Systems.System Analysis.Liapunov Functions.Electric Networks.Additive Functions.Electrical Engineering-Mathematics.Thesis