The early days of geometric nonlinear control
R Brockett - Automatica, 2014 - Elsevier
Around 1970 the study of nonlinear control systems took a sharp turn. In part, this was driven
by the hope for a more inclusive theory which would be applicable to various newly …
by the hope for a more inclusive theory which would be applicable to various newly …
[PDF][PDF] On feedback equivalence of nonlinear systems
On feedback equivalence of nonlinear systems Page 1 Volume 2, Number 2 SYSTEMS &‘
CONTROL LETTERS August 1982 On feedback equivalence of nonlinear systems A. ISIDORI …
CONTROL LETTERS August 1982 On feedback equivalence of nonlinear systems A. ISIDORI …
Controlled invariance for nonlinear systems
H Nijmeijer, A Van der Schaft - IEEE Transactions on Automatic …, 1982 - ieeexplore.ieee.org
Necessary and sufficient conditions are derived for"(A, B)-invariance," called here controlled
invariance, for nonlinear systems ̇ x= f (x, u). The obtained results generalize and elucidate …
invariance, for nonlinear systems ̇ x= f (x, u). The obtained results generalize and elucidate …
Controlled invariance for discrete-time nonlinear systems with an application to the disturbance decoupling problems
J Grizzle - IEEE Transactions on Automatic Control, 1985 - ieeexplore.ieee.org
Invariant distributions are defined for discrete-time nonlinear control systems, and necessary
and sufficient conditions are given for their controlled invariance. This extends to discrete …
and sufficient conditions are given for their controlled invariance. This extends to discrete …
Zeros at infinity for affine nonlinear control systems
H Nijmeijer, J Schumacher - IEEE transactions on automatic …, 1985 - ieeexplore.ieee.org
A definition of zeros at infinity for affine nonlinear control systems is proposed. The definition
is local, which means that we exclude certain singularities. We argue the reasonableness of …
is local, which means that we exclude certain singularities. We argue the reasonableness of …
Viability kernels of differential inclusions with constraints: algorithms and applications
H Frankowska, M Quincampoix - 1990 - pure.iiasa.ac.at
The authors investigate a differential inclusion whose solutions have to remain in a given
closed set. The viability kernel is the set of the initial conditions starting at which, there exist …
closed set. The viability kernel is the set of the initial conditions starting at which, there exist …
, and Locally Invariant and Controllability Distributions
AJ Krener - SIAM journal on control and optimization, 1985 - SIAM
In the study of nonlinear control systems, the concepts of an invariant foliation and an
invariant distribution play important roles. In this paper we explore various forms of these …
invariant distribution play important roles. In this paper we explore various forms of these …
The regular local noninteracting control problem for nonlinear control systems
H Nijmeijer, JM Schumacher - SIAM journal on control and optimization, 1986 - SIAM
We study the Noninteracting Control Problem for affine nonlinear control systems under the
assumption that the number of scalar inputs equals the number of vector outputs. Our …
assumption that the number of scalar inputs equals the number of vector outputs. Our …
[PDF][PDF] Feedback decomposition of nonlinear control systems
H Nijmeijer - IEEE transactions on automatic control, 1983 - research.utwente.nl
Feedback Decomposition of Nonlinear Control Systems ... m Page 1 IEEE TRANSACTIONS
OX AUTOWTIC CONTROL, VOL. AC-28, NO. 8, AUGUST 1983 86 1 [ 161 KD Glazebrook and …
OX AUTOWTIC CONTROL, VOL. AC-28, NO. 8, AUGUST 1983 86 1 [ 161 KD Glazebrook and …
Partial symmetries for nonlinear systems
H Nijmeijer, AJ Van der Schaft - Mathematical systems theory, 1985 - Springer
We define the concept of partial symmetry for nonlinear systems, which is an intermediate
notion between the concepts of symmetry and controlled invariance. It is shown how this …
notion between the concepts of symmetry and controlled invariance. It is shown how this …