Exponential stability of time-delay systems

International Journal of Computer Trends and Technology (IJCTT)          
© 2017 by IJCTT Journal
Volume-54 Number-2
Year of Publication : 2017
Authors : Naveed Ahmed Qureshi, Waqar Ali, Bushra Naz
DOI :  10.14445/22312803/IJCTT-V54P113


Naveed Ahmed Qureshi, Waqar Ali, Bushra Naz "Exponential stability of time-delay systems". International Journal of Computer Trends and Technology (IJCTT) V54(2):84-90, December 2017. ISSN:2231-2803. www.ijcttjournal.org. Published by Seventh Sense Research Group.

Abstract -
Time delays are frequently encountered in various areas of science and engineering, including physical and chemical processes, economics, engineering, communication networks and biological systems. The existence of time delays is often a main cause of oscillations, instability and poor performance of the system. During the past decades, the stability analysis of TDS has received considerable attention from researchers, see, e.g. [1, 2] and the references therein. On the other hand, in many practical control systems, the system response is required to be as fast as possible. As a result, the state trajectories of the system are often expected to converge sufficiently fast. Therefore, it is important for designers to be able to estimate the convergence rate of the system. For continuous-time systems with time varying delay, several stability analysis schemes have been proposed for deriving the exponential stability conditions; see., e.g, [3,4,5] and the references therein.

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time-delay system, stability control, Lyapunov function.