This note is concerned with the H-infinity deconvolution filtering problem for linear time-varying discretetime systems described by state space models, The H-infinity deconvolution filter is derived by proposing a new approach in Krein space. With the new approach, it is clearly shown that the central deconvolution filter in an H-infinity setting is the same as the one in an H2 setting associated with one constructed stochastic state-space model. This insight allows us to calculate the complicated H-infinity deconvolution filter in an intuitive and simple way. The deconvolution filter is calculated by performing Riccati equation with the same order as that of the original system.
The paper deals with the stochastic H∞ control problem for nonlinear discrete-time systems with multiplicative...
Lu Xiao1,2,Zhang Weihai1 1.Key Laboratory for Robot&Intelligent Technology of Shandong Province,Shandong University of Science and Technology,Qingdao 266510,P.R.China 2.Research Center of Information and Control,Dalian University of Technology,Dalian 116024,P.R.China
Stochastic linear-quadratic Gaussian nonzero-sum Nash games with constrained state information is proposed for...
Kong Shulan1,Zhang Huanshui2 1.School of Mathematics Science,Qufu Normal University,Qufu 273165,P.R.China 2.School of Control Science and Engineering,Shandong University,Jinan 250061,P.R.China
＜正＞The paper deals with the Kalman filtering problem for linear discrete-time systems with parametric uncertai...
Lu Xiao, Zhang Huanshui, Wang Wei , Wang Wei Research Center of Information and Control, Dalian University of Technology, Dalian 116023, China Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China
In this paper, an uplink power control problem is considered for code division multiple access （CDMA） systems. A distributed algorithm is proposed based on linear quadratic optimal control theory. The proposed scheme minimizes the sum of the power and the error of signal-to-interference ratio （SIR）. A power controller is designed by constructing an optimization problem of a stochastic linear quadratic type in Krein space and solving a Kalman filter problem.
Shulan KONGHuanshui ZHANGZhaosheng ZHANGHongxia WANG
