Synchronization of Switched Neural Networks with Time‐varying Delays via Sampled‐data Control

Abstract

This paper investigates sampled-data synchronization control of switched neural networks with time-varying delays under average dwell time. Based on the delay system method, the sampled-data synchronization system is proposed with time-varying delays and input delays in the unified framework for switched neural networks. By constructing a suitable Lyapunov-Krasovskii functional and free-weighting matrix, the relationship between the average dwell time and the maximum sampling interval is revealed to form delay-dependent exponentially synchronization criteria. The desired mode-dependent controller under the maximum sampling interval and decay rate is designed. Finally, two numerical examples are provided to demonstrate the effectiveness and feasibility of the proposed techniques.

Mixed performance analysis of continuous switched systems with time‐varying random delay

“…k∈4, and symmetric matrices U i ∈ ℜ n × n , i∈N. Then systems (1) and ((5a)) have mixed mean-square performance ρ by the switching signal in (3).…”

“…[1][2][3] Switched systems are found in many practical systems, such as automated highway systems, automotive engine control systems, chemical processes, power systems and power electronics, robot manufacture, and water quality control systems. [1][2][3] Time delay may result in bad performance or instability in control systems. 4,5 The phenomena of time delay are often encountered in many types of practical engineering, such as chemical engineering, hydraulic systems, inferred grinding models, neural networks, nuclear reactors, and rolling mills.…”

“…Hence the stability and performance of switched time-delay systems have been investigated in recent years. 1,2,[6][7][8][9] In the past, random time-varying delay has been used to show that time delay in practical systems is stochastic and its probability can be evaluated by statistical methods. [10][11][12] The stability of each subsystem does not imply that the overall system under an arbitrary switching signal 7 and the stability of a switched system can be achieved by choosing the appropriate switching signal even when each subsystem is unstable 6,8,9 .…”

“…In recent years a switching signal has been used to handle the switching between these subsystems. It possesses many complicated behaviors due to switching among subsystems, such as multiple limit cycles and chaos 1–3 . Switched systems are found in many practical systems, such as automated highway systems, automotive engine control systems, chemical processes, power systems and power electronics, robot manufacture, and water quality control systems 1–3 .…”

“…It possesses many complicated behaviors due to switching among subsystems, such as multiple limit cycles and chaos 1–3 . Switched systems are found in many practical systems, such as automated highway systems, automotive engine control systems, chemical processes, power systems and power electronics, robot manufacture, and water quality control systems 1–3 . Time delay may result in bad performance or instability in control systems 4,5 .…”