An upper bound to the capacity of discrete time Gaussian channel with feedback

1988 ◽  
pp. 565-570 ◽  
Author(s):  
Kenjiro Yanagi
Keyword(s):  
Discrete Time ◽  
Upper Bound ◽  
Gaussian Channel

Observer-Based Stabilization of Linear Discrete Time-Varying Delay Systems

2021 ◽  
Author(s):  
Venkatesh Modala ◽  
Sourav Patra ◽  
Goshaidas Ray
Keyword(s):  
Discrete Time ◽  
Upper Bound ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Stabilizing Controller ◽  
Time Varying Delay ◽  
Convex Inequality ◽  
Summation Inequality ◽  
Delay Dependent

Abstract This paper presents the design of an observer-based stabilizing controller for linear discrete-time systems subject to interval time-varying state-delay. In this work, the problem has been formulated in convex optimization framework by constructing a new Lyapunov-Krasovskii (LK) functional to derive a delay-dependent stabilization criteria. The summation inequality and the extended reciprocally convex inequality are exploited to obtain a less conservative delay upper bound in linear matrix inequality (LMI) framework. The derived stability conditions are delay-dependent and thus, ensure global asymptotic stability in presence of any time delay less than the obtained delay upper bound. Numerical examples are included to demonstrate the usefulness of the developed results.

scholarly journals A new upper bound on the reliability function of the Gaussian channel

2000 ◽  
Vol 46 (6) ◽  
pp. 1945-1961 ◽  
Author(s):  
A.E. Ashikhmin ◽  
A. Barg ◽  
S.N. Litsyn
Keyword(s):  
Upper Bound ◽  
Reliability Function ◽  
Gaussian Channel

Delay-dependent stability analysis for discrete-time switched linear systems with parametric uncertainties

2017 ◽  
Vol 24 (20) ◽  
pp. 4921-4930 ◽  
Author(s):  
Nasrollah Azam Baleghi ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Discrete Time ◽  
Upper Bound ◽  
Sufficient Conditions ◽  
Switched System ◽  
Parametric Uncertainties ◽  
Time Varying ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper studies the delay-dependent stability conditions for time-delay discrete-time switched systems. In the considered switched system, there are uncertain terms in each subsystem due to affine parametric uncertainties. Additionally, each subsystem has a time-varying state delay which adds more complexity to the stability analysis. Based on the Lyapunov functional approach, the sufficient conditions are extracted to determine the admissible upper bound of the time-varying delay for guaranteed stability. Furthermore, a class of switching signals is identified to guarantee the exponential stability of the uncertain time-delay switched system. The main advantage of the suggested switching signals is its independency to the uncertainties. Furthermore, these signals are only constrained by a determined average dwell time (may be chosen arbitrarily). Finally, a numerical example is provided to demonstrate the efficiency of the proposed method and also the reduction of conservatism in finding the admissible upper bound of time-delay in comparison with other stability analysis approaches.

scholarly journals The Capacity Achieving Distribution for the Amplitude Constrained Additive Gaussian Channel: An Upper Bound on the Number of Mass Points

2020 ◽  
Vol 66 (4) ◽  
pp. 2006-2022 ◽  
Author(s):  
Alex Dytso ◽  
Semih Yagli ◽  
H. Vincent Poor ◽  
Shlomo Shamai Shitz
Keyword(s):  
Upper Bound ◽  
Gaussian Channel
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