Following V.I. Arnolds techniques, we construct a local canonical form called miniversal deformation, for a family of differentiable regularizable linear dynamical systems Eẋ(t) = Ax(t)+Bu(t) under feedback and derivative feedback equivalence. We show some applications to the analysis of perturbations of a given regularizable system. c © 2008 Elsevier Ltd. All rights reserved.

This paper is devoted to the problem of H∞ output feedback control for linear singular systems with state time-varying delay. The purpose is to design a non-singular dynamic output feedback controller to ensure that the closed-loop system is regular, impulse free and stable with a prescribed H∞ performance level. Using the linear matrix inequality (LMI) approach, a new delay-dependent stability...

In this paper, it is shown that by exploiting the explicit parametric state feedback solution, it is feasible to obtain the ultimate solution to minimum sensitivity problem. A numerical algorithm for construction of a robust state feedback in eigenvalue assignment problem for a controllable linear system is presented. By using a generalized parametric vector companion form, the problem of eigen...

This paper is concerned with the problem of designing discrete-time control systems with closed-loop eigenvalues in a prescribed region of stability. First, we obtain a state feedback matrix which assigns all the eigenvalues to zero, and then by elementary similarity operations we find a state feedback which assigns the eigenvalues inside a circle with center   and radius. This new algorithm ca...

We investigate the problem of estimating derivatives of expected steady-state performance measures in parametric systems. Unlike most of the existing work in the area, we allow those functions to be nonsmooth and study the estimation of directional derivatives. For the class of regenerative Markovian systems we provide conditions under which we can obtain consistent estimators of those directio...

This article proposes a method to compute the maximum allowable delay time (  ) for linear-timeinvariant-time-delayed-systems (LTI-TDS) with state-PID feedback control. It presents the main theorem with corollary, and computing steps to obtain .  Stability of a LTI-TDS with stateproportional integral derivative (PID) feedback is ensured if the delay time is less than .  The proposed approach...

* This work is supported by National Natural Science Foundation of China under Grant Nos. 61203147, 60973095, 60804013 and 61104092, Fundamental Research Funds for the Central Universities of China under Grant Nos. JUSRP111A44 and JUSRP21011, and Humanities and Social Sciences Youth Funds of the Ministry of Education under Grant No. 12YJCZH218. Abstract This paper is concerned with sampled-data...

This chapter studies the H2 control problem for linear singular systems. Firstly a proportional plus derivative feedback controller for continuous and discrete cases for descriptor systems is given, satisfying the closed loop systems normal and stable states. A necessary and sufficient condition for the solvability of this problem should be obtained in terms of linear matrix inequality. In seco...