In relation to the reachability and the controllability of a discrete time-invariant linear system,the author demomstrates the equivalence of their two definitions;and improves the proofs of their fundamental decision theorems.

This paper deals with the problem of optimization of finite-time observer for one kind of uncertain linear discrete systems.

This paper discusses the Nyquist way to the stability of the discrete system.

Structure of radical solution to order coefficient linear discrete system;

By using the existing optimal state estimation theory,the problem of optimal state estimation for two-dimensional (2-D) linear discrete systems has been discussed in this paper.

Optimal control for a class of nonlinear discrete-time systems:a successive approximation approach;

Direct adaptive fuzzy control for a class of nonlinear discrete-time systems;

Feedforward and feedback optimal control for nonlinear discrete-time systems with deterministic disturbances;

H_∞PI fuzzy controller design for nonlinear discrete-time systems;

In this paper,the issues of observer design for a class of Lipschitz nonlinear discrete-time systems with time-delay and disturbance input are addressed,where the Lipschitz condition is expressed in a component-wise rather than an aggregated manner.

An adaptive controller is designed utilizing Lyapunov function and weighting least-squares estimator for a nonlinear discrete-time system.