For linear part the control law with Riccati iteration matrices satisfying certain conditions is used to get the Lyapunov function.

A robust H-infinity control scheme of output feedback based on an algebraic Riccati equation was presented to stabilize the closed loop system.

By means of the positive-definite solutions of algebraic Riccati equations,the robust H ∞ dynamic output feed-back controller is constructed,under which the closed-loop systems are of internal stability and reduce the H ∞ norm of the trans-fer function from the disturbance to the controlled output to a prescribed level for all admissible uncertainties and all positi.

In a large multihop sensor network,the controllers and the plants usually communicate via unreliable wireless channels,and the algebraic Riccati equation is modified because of the random packet losses.

The solution to local controllers is carried out merely by iteratively solving a set of local algebraic Riccati equations.

By using two extended Riccati equations and Mathematica software,the author obtains exact solutions to the Variable Coefficient Burgers Equation with forced term outside and Witham-Broer-Kaup equation,including many kinds of solitary-wave-like solutions,like periodical solutions and solitary wave solutions with variable speed,many of which are found for the first time.

By constructing one new Riccati equations and using the generalixed Riccati method,we simplified the form and enriched the general results.

By using two extended Riccati equations and Mathematica software,exact solutions Of(2+1)-dimensional Broer-kaup equations with variable coefficients are obtained.