Contents

**Preface XI**


#### **Section 3 Applications 161**

Chapter 7 **An Approach to Hybrid Smoothing for Linear Discrete-Time Systems with Non-Gaussian Noises 163** Gou Nakura

#### Chapter 8 **Discrete-Time Fractional-Order Systems: Modeling and Stability Issues 183** Saïd Guermah, Saïd Djennoune and Maâmar Bettayeb

Chapter 9 **Investigation of a Methodology for the Quantitative Estimation of Nursing Tasks on the Basis of Time Study Data 213**

Atsue Ishii, Takashi Nakamura, Yuko Ohno and Satoko Kasahara

Preface

ted.

troller uncertainties.

for future perusal by interested investigators.

deals with 'nonlinear control' and Section III provides 'applications'

This volume brings about the contemporary results in the field of discrete-time systems. It covers technical reports written on the topics of robust control, nonlinear systems and recent applications. Although the research views are different, they all geared towards focusing on the up-to-date knowledge gain by the researchers and providing effective developments along the systems and control arena. Each topic has a detailed discussions and suggestions

The book is divided into three sections: Section I is devoted to 'robust control', Section II

Section I 'robust control' comprises of three chapters. In what follows we provide brief ac‐ count of each. In the first chapter titled "Stochastic mixed LQR/H control for linear dis‐ crete-time systems" Xiaojie Xu considered the static state feedback stochastic mixed LQR/ Hoo control problem for linear discrete-time systems. In this chapter, the author established sufficient conditions for the existence of all admissible static state feedback controllers solv‐ ing this problem. Then, sufficient conditions for the existence of all static output feedback controllers solving the discrete-time stochastic mixed LQR/ Hoo control problem are presen‐

In the second chapter titled "Robust control design of uncertain discrete-time descriptor sys‐ tems with delays" by Yoneyama, Uchida, and Takada, the authors looked at the robust H∞ non-fragile control design problem for uncertain discrete-time descriptor systems with timedelay. The controller gain uncertainties under consideration are supposed to be time-vary‐ ing but norm-bounded. The problem addressed was the robust stability and stabilization problem under state feedback subject to norm-bounded uncertainty. The authors derived sufficient conditions for the solvability of the robust non-fragile stabilization control design problem for discrete-time descriptor systems with time-delay obtained with additive con‐

In the third chapter, the authors Jun-min, Jiang-rong and Zhi-le of "Delay-dependent gener‐ alized H2 control for discrete-time fuzzy systems with infinite-distributed delays" examined the generalized H2 control problem for a class of discrete time T-S fuzzy systems with infin‐ ite-distributed delays. They constructed a new delay-dependent piecewise Lyapunov-Kra‐ sovskii functional (DDPLKF) and based on which the stabilization condition and controller design method are derived. They have shown that the control laws can be obtained by solv‐
