[PDF][PDF] Singular perturbations and time scales in control theory and applications: an overview

D Naidu - Dynamics of Continuous Discrete and Impulsive …, 2002 - researchgate.net
A basic problem in the control system theory is the mathematical modeling of a physical
system. The modeling of many systems calls for high-order dynamic equations. The …

[图书][B] Optimal control of singularly perturbed linear systems and applications

Z Gajic - 2001 - taylorfrancis.com
Highlights the Hamiltonian approach to singularly perturbed linear optimal control systems.
Develops parallel algorithms in independent slow and fast time scales for solving various …

Control design with guaranteed cost for synchronization in networks of linear singularly perturbed systems

JB Rejeb, IC Morărescu, J Daafouz - Automatica, 2018 - Elsevier
This work presents the design of a decentralized control strategy that allows singularly
perturbed multi-agent systems to achieve synchronization with global performance …

奇异摄动控制系统: 理论与应用

刘华平, 孙富春, 何克忠, 孙增圻 - 控制理论与应用, 2003 - cqvip.com
系统地回顾了近年来奇异摄动控制技术的发展, 主要包括线性奇异摄动系统的稳定性分析与镇定
, 最优控制, H∞ 控制, 非线性奇异摄动系统的镇定, 优化控制和基于积分流形的几何方法 …

Exploring high bandwidth pipelined cache architecture for scaled technology

A Agarwal, K Roy, TN Vijaykumar - 2003 Design, Automation …, 2003 - ieeexplore.ieee.org
In this paper, we propose a design technique to pipeline cache memories for high
bandwidth applications. With the scaling of technology, cache access latencies are multiple …

New iterative algorithm for algebraic Riccati equation related to H/sub/spl infin//control problem of singularly perturbed systems

H Mukaidani, H Xu, K Mizukami - IEEE transactions on …, 2001 - ieeexplore.ieee.org
We present the solution to the algebraic Riccati equation (ARE) with indefinite sign quadratic
term related to the H/sub/spl infin//control problem for singularly perturbed systems by …

Synchronization Control of Networked Two-Timescale Dynamic Agents: A Singular Perturbation Approach

K Liang, W He, F Qian, G Chen - IEEE Transactions on Control …, 2023 - ieeexplore.ieee.org
This paper is intended to solve the synchronization control problem for a group of agents
with two-timescale characteristic, described by singularly perturbed systems (SPSs) with a …

The guaranteed cost control problem of uncertain singularly perturbed systems

H Mukaidani, K Mizukami - Journal of Mathematical Analysis and …, 2000 - Elsevier
In this paper we study the algebraic Riccati equation corresponding to the guaranteed cost
control theory for an uncertain singularly perturbed system. The construction of the controller …

Asymptotic expansions and a new numerical algorithm of the algebraic Riccati equation for multiparameter singularly perturbed systems

H Mukaidani, T Shimomura, K Mizukami - Journal of mathematical analysis …, 2002 - Elsevier
In this paper we study a continuous-time multiparameter algebraic Riccati equation (MARE)
with an indefinite sign quadratic term. The existence of a unique and bounded solution of the …

A revised Kleinman algorithm to solve algebraic Riccati equation of singularly perturbed systems

H Mukaidani, H Xu, K Mizukami - Automatica, 2002 - Elsevier
In this paper, we show that the Kleinman algorithm can be used well to solve the algebraic
Riccati equation (ARE) of singularly perturbed systems, where the quadratic term of the ARE …