The problem of data packet dropout and transmission delays induced by communication channel in networked control systems (NCSs) is studied in this paper. We model the continuous-time NCSs with data packet dropout and transmission delays as ordinary linear systems with time-varying input delays. By using the Lyapunov–Razumikhin function techniques, delaydependent condition on the stabilization o...

This paper presents Two-Dimensional (2-D) system analysis based Iterative Learning Control (ILC) methods for Linear Time-Variant (LTV) discrete systems with multiple time delays. Both the state delays and the input delays are considered in the ILC design. The ILC research strategy for LTV discrete systems with multiple time delays is to rescontruct the derived ILC error equations into the 2-D R...

Delay systems have attracted a considerable amount of interest δðtnÞ for t≥t, which in practice is unrealistic. Conceptually, this in the control theory community in recent years, due to important methodological and practical issues involved in their analysis and design. New and emergent application areas, such as control of networked systems, are inherently characterized by the presence of tim...

The delays are the mathematical models of the delay circuits. Delay theory is the mathematical theory that considers the fundamental circuit in digital electronics be the delay circuit and modeling is made by using delays and Boolean functions. The most detailed level of modeling is considered, starting from the delays that occur in gates and wires. Relative inertia is the property of the state...

The purpose of this work is to study machine-learning-based model predictive control nonlinear systems with time-delays. proposed approach involves initially building a machine learning (i.e., Long Short Term Memory (LSTM)) capture the process dynamics in absence time delays. Then, an LSTM-based controller (MPC) designed stabilize system without Closed-loop stability results are then presented,...

The speedup of a switch is the factor by which the switch, and hence the memory used in the switch, runs faster compared to the line rate. In high-speed switches, line rates are already touching limits at which memory can operate. In this scenario, it is very important for a switch to run at as low a speedup as possible. In the past, it has been shown that 100% throughput can be achieved for an...

In this paper, by using the continuation theorem of coincidence degree theory, M−matrix theory and constructing some suitable Lyapunov functions, some sufficient conditions are obtained for the existence and global exponential stability of periodic solutions of recurrent neural networks with distributed delays and impulses on time scales. Without assuming the boundedness of the activation funct...

This paper focuses on the problem of a common linear copositive Lyapunov function(CLCLF) existence for discrete-time switched positive linear systems(SPLSs) with bounded time-varying delays. In particular, applying system matrices, a special class of matrices are constructed in an appropriate manner. Our results reveal that the existence of a common copositive Lyapunov function can be related t...

We discuss a nite horizon H∞ control problem for time-varying systems with input delays. Clarifying a relationship between two H∞ control problems in input delay case and in measurement delay case, we derive a solution in input delay case based on the known result for the H∞ control problem in measurement delay case, and show that the solution has the same predictor–observer structure as the so...

We show that the class of regular time varying systems is invariant under perturbations by time–varying state and input delays. In particular, we give explicit formulas of the resulting input, output, and input–output maps. This result is used to solve the feedback problem for the delayed system. The relationship between the open and the closed loop system is investigated. Our results are appli...