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She gave the new sufficient conditions for the exponential stability of BAM neural networks with distribute delays. The analysis of the stability of the equilibrium point had focused on establishing a relationship between the networks parameters of neural networks model independent of the delay parameters.
In this paper, the global exponential stability for a class of impulsive cellular neural networks with discrete and distributed time-varying delays is considered. The results are based on the Lyapunov-Krasovskii functional stability analysis for differential equations and the linear matrix inequality (LMI) optimization approach. Some numerical examples are given to show the effectiveness of our results.
In this paper a novel approach is proposed to solve a decentralized control problem to stabilize a multivariable system and attenuate the interconnections between its subsystems. To satisfy these conditions, an ut feedback controller is designed by solving an Hinfin control problem. The designed controller is applied to a practical multivariable flow-level plant to show the effectiveness of the proposed...
In this paper, asymptotic stability for a new type of neutral delay neural networks systems is investigated. Stability criteria are presented by using Lyapunov method and linear matrix inequalities (LMIs) which can be easily solved by LMI Toolbox in Matlab.
This paper is concerned with simultaneous stability of a collection of continuous-time linear plants whose feedback control loops are closed via a shared digital communication network. Because of the limitation of communication capacity, only a limited number of controller-plant connections can be accommodated at any time instant. Therefore, it is necessary to carefully design the scheduling policy...
In this paper, the packet-based control approach to networked control systems is extended to the continuous time case, with the use of a discretization technique for the continuous network-induced delay. The derived approach can effectively deal with network-induced delay, data packet dropout and data packet disorder simultaneously, and also leads to a novel model for networked control systems. This...
We consider the delay properties of max-weight opportunistic scheduling in a multi-user on/off wireless system, such as a multi-user downlink or uplink. It is well known that max-weight scheduling stabilizes the network (and hence yields maximum throughput) whenever input rates are inside the network capacity region. We show that when arrival and channel processes are independent, average delay of...
In this note, we present a new proof on the result of global exponential stability of neural networks with multiple time delays which has been reported in [Sun, Zhang, Fei and Feng, Physics Letters A, vol. 298, pp. 122-132, 2002]. Based on the new method, a bound for the degree of exponential stability is presented, according to which, the convergent speed of neural networks can be estimated. Moreover,...
We consider an important class of digital control systems whose plants are endowed with delays, and we show that such systems may be described by discontinuous functional differential equations. Next, we establish Lyapunov stability results for this class of systems. To accomplish this, we make use of some of our earlier work concerning the stability of discontinuous dynamical systems determined by...
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