Discrete-time systems with time-varying time delay: Stability and stabilizability
نویسندگان
چکیده
منابع مشابه
Finite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملStabilizability and detectability of discrete-time time- varying systems
In this paper we introduce some notions of stabilizability and detectability for discrete time-varying systems. These concepts are introduced by making state-space decompositions of the system. This allows an intuitive interpretation and shows the difficulties which occur if one tries to derive general stabilizability and detectability properties. Moreover, we show by means of a counterexample ...
متن کاملLinear Discrete-time Systems with Markovian Jumps and Mode Dependent Time-delay: Stability and Stabilizability
This paper considers stochastic stability and stochastic stabilizability of linear discrete-time systems with Markovian jumps and mode-dependent time-delays. Linear matrix inequality (LMI) techniques are used to obtain sufficient conditions for the stochastic stability and stochastic stabilizability of this class of systems. A control design algorithm is also provided. A numerical example is gi...
متن کاملNew Robust Stability Criteria for Uncertain Neutral Time-Delay Systems With Discrete and Distributed Delays
In this study, delay-dependent robust stability problem is investigated for uncertain neutral systems with discrete and distributed delays. By constructing an augmented Lyapunov-Krasovskii functional involving triple integral terms and taking into account the relationships between the different delays, new less conservative stability and robust stability criteria are established first using the...
متن کاملRobust Stability of Uncertain Discrete Systems with Time-varying Delay
Robust stability is considered for uncertain discrete-time systems with time-varying delays from given intervals. A new construction of Lyapunov-Krasovskii functions (LKFs), which has been recently introduced in the continuous case, is applied: to a nominal LKF, which is appropriate to the system with nominal delays, terms are added that correspond to the system with the perturbed delays and th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2006
ISSN: 1024-123X,1563-5147
DOI: 10.1155/mpe/2006/42489