On certain problems in the theory of differential equations with deviating argument

AD Myshkis - Russian Mathematical Surveys, 1977 - iopscience.iop.org
1. Introduction. The literature devoted to the theory and applications of differential equations
with deviating argument (DEDA) continues to grow very rapidly. Thus, only last year, not less …

Finite spectrum assignment problem for systems with delays

A Manitius, A Olbrot - IEEE transactions on Automatic Control, 1979 - ieeexplore.ieee.org
In this paper linear systems with delays in state and/or control variables are considered. The
objective is to design a feedback law which yields a finite spectrum of the closed-loop …

[图书][B] Infinite dimensional linear systems theory

RF Curtain, AJ Pritchard - 1978 - Springer
Suppose ze Z is the state at time zero of a dynamical system defined on a Banach space Z,
and the state at time t is z (t). If we assume that the dynamics which govern the evolution …

[PDF][PDF] Controllability of dynamical systems

J Klamka - Mathematica Applicanda, 2008 - bibliotekanauki.pl
The paper contains systems descriptions and fundamental results concerning the solution of
the most popular linear continuous-time control models with constant coefficients. First …

Stabilizability, detectability, and spectrum assignment for linear autonomous systems with general time delays

A Olbrot - IEEE Transactions on Automatic Control, 1978 - ieeexplore.ieee.org
A general linear autonomous system with both discrete and distributed delays in state and
control variables is considered and an open-loop stabilizability problem is posed. It is …

Strong stabilization of neutral functional differential equations

JK Hale, SMV Lunel - IMA Journal of Mathematical Control and …, 2002 - ieeexplore.ieee.org
A linear neutral functional differential equation is called strongly exponentially stable if it is
exponentially stable when subjected to small variations in the delays. In this paper we …

[图书][B] Dynamics in infinite dimensions

JK Hale, LT Magalhães, W Oliva - 2002 - books.google.com
State-of-the-art in qualitative theory of functional differential equations; Most of the new
material has never appeared in book form and some not even in papers; Second edition …

Linear systems with commensurate time delays: Stability and stabilization independent of delay

E Kamen - IEEE Transactions on Automatic Control, 1982 - ieeexplore.ieee.org
Notions of exponential stability independent of delay and stabilizability independent of delay
are developed for the class of delay differential systems of the retarded type with …

Stability and stabilizability of infinite-dimensional systems

AJ Pritchard, J Zabczyk - Siam Review, 1981 - SIAM
In this paper we are concerned with stability problems for infinite dimensional systems. First
we review the theory for linear systems where the dynamics are governed by strongly …

Limitations of a class of stabilization methods for delay systems

K Engelborghs, M Dambrine… - IEEE Transactions on …, 2001 - ieeexplore.ieee.org
We investigate limitations of certain stabilization methods for time-delay systems. The class
of methods under consideration implements the control law through a Volterra integral …