Authors:
Eric Rogers,
Jeffrey Wood,
David H. Owens,
Volume: 1, Page 5002 Paper number 9089
Abstract:
Repetitive processes are a distinct class of 2D systems of both practical
and theoretical interest. In this paper we use recent work in behavioral
theory for nD linear systems to characterize poles for the case of
so-called discrete linear repetitive processes. A unique feature is
that the resulting poles lead to a physically based interpretation
of stability for these processes.
Authors:
Guoping Lu,
Lam Fat Yeung,
Daniel W. C. Ho,
Yufan Zheng,
Volume: 1, Page 5004 Paper number 1813
Abstract:
Strict positive realness (SPR) of linear time-invariant systems with
multiple time-delays is discussed in this paper. We present sufficient
conditions via linear matrix inequalities (LMIs) such that linear delayed
system is strictly positive real. More generally, we present a memoryless
state feedback controller via LMIs such that the resulting closed-loop
system is SPR with a-asymptotic stability constraint (a-SPR) for a
class of linear time-delay control system. Furthermore, we give an
LMI approach to the optimization problem of computation of the maximal
allowable bound on the time-delays such that the closed-loop system
is a-SPR.
Authors:
Harish K. Pillai,
Eric Rogers,
Volume: 1, Page 5010 Paper number 1064
Abstract:
Quadratic differential forms have proved very useful in dealing with
dissipative systems, LQ control, H_(infinity) control etc. especially
when one uses the behavioural approach. Quadratic differential forms
for 1-D systems have been extensively studied in literature. In this
paper, we study quadratic differential forms applied to n-D systems.
Authors:
João Yoshiyuki Ishihara,
Roberto Moura Sales,
Volume: 1, Page 5014 Paper number 1938
Abstract:
In this work, the problem of parametrizing feedback systems with prescribed
properties for general linear systems in Rosenbrock representation
is considered. With this, the results of stabilizing controller parametrization
for state space systems can be extended to general case where system
regularity is not assumed. The stabilization theory is formulated
axiomatically to permit its application to a wide variety of design
problems and is extremely elementary in nature.
Authors:
Arthur Conley,
Mario E. Salgado,
Volume: 1, Page 5020 Paper number 1005
Abstract:
In this paper, stable multivariable systems are considered and a
gramian based measure of dynamic channel interaction is proposed.
This measure also supports decisions regarding input-output pairing
in decentralized control, triangular control and other controller
structures.
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