On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations
نویسندگان
چکیده
منابع مشابه
New Robust Exponential Stability Criterion for Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays and Nonlinear Perturbations
and Applied Analysis 3 where h, r, g, μ, and δ are given positive constants. The initial condition functions φ t , φ t ∈ C −max{r, h, g}, 0 ,R denote continuous vector-valued initial function of t ∈ −max{r, h, g}, 0 with the norm ‖φ‖ sups∈ −max{r,h,g},0 ‖φ s ‖, ‖φ‖ sups∈ −max{r,h,g},0 ‖φ s ‖. The uncertain matrices ΔA t , ΔB t , and ΔD t are norm bounded and can be described as ΔA t EF t N1, ΔB...
متن کاملFINITE-TIME PASSIVITY OF DISCRETE-TIME T-S FUZZY NEURAL NETWORKS WITH TIME-VARYING DELAYS
This paper focuses on the problem of finite-time boundedness and finite-time passivity of discrete-time T-S fuzzy neural networks with time-varying delays. A suitable Lyapunov--Krasovskii functional(LKF) is established to derive sufficient condition for finite-time passivity of discrete-time T-S fuzzy neural networks. The dynamical system is transformed into a T-S fuzzy model with uncertain par...
متن کاملExponential Stability of Discrete-Time Systems with Time-Varying Delay and Perturbations
This paper is concerned with the exponential stability for linear dynamical discrete-time systems with time-varying delay and perturbations. Three classes of perturbations are treated. By making use of state-solution and norm inequality, several delay-independent criteria for guaranteeing the stability of the system are presented. Two numerical examples are given to demonstrate the utilization ...
متن کاملOn stability of discrete-time systems under nonlinear time-varying perturbations
We give some explicit stability bounds for discrete-time systems subjected to time-varying and nonlinear perturbations. The obtained results are extensions of some well-known results in (Hinrichsen and Son in Int. J. Robust Nonlinear Control 8:1169-1188, 1998; Shafai et al. in IEEE Trans. Autom. Control 42:265-270, 1997) to nonlinear time-varying perturbations. Two examples are given to illustr...
متن کاملRobust Absolute Stability of Time-Varying Nonlinear Discrete-Time Systems
This paper studies the problem of robust absolute stability of a class of nonlinear discrete-time systems with time-varying matrix uncertainties of polyhedral type and multiple time-varying sector nonlinearities. By using the variational method and the Lyapunov second method, criteria for robust absolute stability are obtained in different forms for the class of systems under consideration. Spe...
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: 2015
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2015/641268