We present new stability criteria for networked control systems with time-varying transmission delays and transmission intervals.The accumulating transmission delays are described as potential input delays.Also,the impulsive effects of the networked control system are analyzed in detail.We propose a new discontinuous Lyapunov functional method to exploit the impulsive effects of feedback signals and input delays and their associated time derivatives;this method leads to reduced conservatism of the derived exponential stability criteria and the corresponding controller design method.A numerical example is presented to verify the effectiveness of our proposed approach.
A method for positive polynomial validation based on polynomial decomposition is proposed to deal with control synthesis problems. Detailed algorithms for decomposition are given which mainly consider how to convert coefficients of a polynomial to a matrix with free variables. Then, the positivity of a polynomial is checked by the decomposed matrix with semidefinite programming solvers. A nonlinear control law is presented for single input polynomial systems based on the Lyapunov stability theorem. The control synthesis method is advanced to multi-input systems further. An application in attitude control is finally presented. The proposed control law achieves effective performance as illustrated by the numerical example.
We investigate the issue of synchronizing a blinking coupling mobile agent network through a blinking adaptation strategy,where each agent with blinking wave emission behavior not only adjusts its blinking period according to the local property of its neighbors,but also coordinates its blinking phase with those of neighboring agents.In leading the agents to blink orderly with a blinking period commensurate with the characteristic time of the dynamical oscillator,the presented blinking adaptation strategy works effectively in guaranteeing the synchronous motion of the considered network when the power density is large.In addition,the influence of the controlling parameter and moving velocity on network evolution is studied by assessing the convergence time.
The guaranteed cost control for a class of uncertain discrete-time networked control systems with random delays is addressed. The sensor-to-controller （S-C） and contraller-to-actuator （C-A） random network-induced delays are modeled as two Markov chains. The focus is on the design of a two-mode-dependent guar- anteed cost controller, which depends on both the current S-C delay and the most recently available C-A delay. The resulting closed-loop systems are special jump linear systems. Sufficient conditions for existence of guaranteed cost controller and an upper bound of cost function are established based on stochastic Lyapunov-Krasovakii functions and linear matrix inequality （LMI） approach. A simulation example illustrates the effectiveness of the proposed method.
