Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays

Novel Results for Global Exponential Stability of Uncertain Systems with Interval Time-varying Delay

“…In addition, fast convergence of a system is essential for real-time computation, and the exponential convergence rate is generally used to determine the speed of computations. Therefore, the exponential stability analysis for systems with time delays has received deep concern in very recent years [14][15][16][17][18][19]. However, to the best of authors' knowledge, there are few results about the exponential stability of uncertain linear system with interval time varying delays [18,19].…”

“…Thus, the stability analysis and synthesis of systems with time delay have been one of the hottest topic in control society. For recent trends of the topic, see [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and references therein.…”

Observer-based controller design of time-delay systems with an interval time-varying delay

“…Recently, exponential stability of linear systems with an interval time-varying non-differentiable delay was considered by Phat et al (2012). Also, the problem of designing memoryless state feedback controllers to exponentially stabilize a class of linear uncertain systems with an interval time-varying delay was studied by Botmart et al (2011). When not all of the state variables are available for feedback control, a state observer may be used to provide an estimate of the state vector and thus an observer-based output feedback controller can be realized.…”

“…When not all of the state variables are available for feedback control, a state observer may be used to provide an estimate of the state vector and thus an observer-based output feedback controller can be realized. Nevertheless, compared with the state feedback design problem (Botmart et al, 2011), the observer-based output feedback design problem involves more control parameters and it is more complicated and difficult to solve using a convex programming approach.…”

“…There has been growing research interest in stability analysis and stabilization of systems subject to an interval Brought to you by | MIT Libraries Authenticated Download Date | 5/11/18 7:44 AM time-varying delay (see, for example, Botmart et al, 2011;Phat et al, 2012;Shao, 2009;Shao and Han, 2012). An interval time-varying delay is a time delay that varies within an interval whose lower bound is not restricted to be zero and its time derivative can even be undefined or unknown.…”