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Global output feedback stabilization of a class of upper-triangular nonlinear systems
2009
2009 American Control Conference
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This paper considers the global output feedback stabilization of a class of upper-triangular nonlinear systems with a single input and multiple output. ...
It is shown that under a structural condition, the output feedback stabilization problem can be solved for this class of systems by coupling with a finite-time convergent observer and a saturated homogeneous ...
Later the paper [4] extended the result [14] to a class of upper-triangular nonlinear systems with uncontrollable linearization. ...
doi:10.1109/acc.2009.5160406
dblp:conf/amcc/Qian09
fatcat:hu3xglohwjfdjmesuh2jthpngm
Page 7828 of Mathematical Reviews Vol. , Issue 2000k
[page]
2000
Mathematical Reviews
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The main result of the present paper is a theorem on propagation of support of the C' smooth solutions for upper-triangular quasilinear 2D systems. ...
finite time. ...
Page 4529 of Mathematical Reviews Vol. , Issue 2000f
[page]
2000
Mathematical Reviews
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; Cleveland, OH);
Li, Xunjing (PRC-FUDAN; Shanghai)
Synthesis of upper-triangular non-linear systems with marginally unstable free dynamics using state-dependent saturation. ...
The power of the state-dependent saturation design method is demonstrated by solving a number of nonlinear control problems, particularly the global stabilization problem of a class of two-dimensional ...
Non-Uniform Stability, Detectability, and, Sliding Mode Observer Design for Time Varying Systems with Unknown Inputs
[article]
2018
arXiv
pre-print
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It is shown that for a specific class of linear time varying systems, a cascaded observer based on higher order sliding mode differentiators can be designed to achieve finite time exact reconstruction ...
This paper discusses stability and robustness properties of a recently proposed observer algorithm for linear time varying systems. ...
This work was partially supported by the Graz University of Technology LEAD project "Dependable Internet of Things in Adverse Environments". L. Fridman acknowledges the Fi- ...
arXiv:1809.06460v1
fatcat:s22amjbwqbf4bpeet5jesd4q74
Robust stabilization of nonlinear cascaded systems
2006
Automatica
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This paper considers the problem of robust stabilization for an uncertain nonlinear system which is a cascaded interconnection of two subsystems. ...
We present a new approach to designing stabilizing controllers which assure both robust global asymptotic stability and local quadratic stability. ...
In this paper, we consider a class of cascaded systems with parametric uncertainties which are much more general than the upper-triangular structure. ...
doi:10.1016/j.automatica.2005.12.005
fatcat:bdyl6qxdwrbg3fggwlrtd3qctm
Feedback stabilization of nonlinear driftless systems with applications to homogeneous-type systems
1997
International Journal of Systems Science
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The proposed conditions do not contradict Brockett's (1983) result for the existence of a smooth time-invariant stabilizer. ...
Conditions of the existence ofa smooth time-invariant stabilizerfor general nonlineardriftless systems are obtained by the construction of quadratic-type Lyapunov functions. ...
Suppose there exists a non-singular matrix S by which more than two B, can be simultaneously transformed into either upper triangular matrices or lower triangular matrices. ...
doi:10.1080/00207729708929376
fatcat:2is7x6hzazaklbeth3aqtmow24
A new output feedback stabilization controller for the disturbance attenuation of MIMO non-linear systems
2007
International Journal of Control
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stability of the non-linear system. ...
Our main goal is to globally stabilize the non-linear system in the presence of unknown structural system uncertainties and external disturbances. ...
Input-to-state (ISS) stability (Sontag 1989 , Marquez 2003 : Consider a non-linear dynamical system of the form _ x ¼ fðx, uÞ: ð1Þ The system (1) is said to be globally input-to-state-stable if there ...
doi:10.1080/00207170701397665
fatcat:zpv66gb54zcfraqsd4btcy6cp4
A gain matrix decomposition and some of its applications
1993
Systems & control letters (Print)
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, adaptive stabilizer for the entire class of n-dimensional, siso, controllable, observable, discrete-time linear process models. ...
Second, it is briefly explained how to use the decomposition together withhysteresis switching and a certain "lifted" discrete-time system representation, to obtain an excitation-free, identifier-based ...
MIMO systems As a simple example of the utility of the preceding decomposition, we consider the problem of adaptively stabilizing a process Xp admitting a model in the class ~e of all n-input, n-output ...
doi:10.1016/0167-6911(93)90038-8
fatcat:v45uckp3yrfsvenjun5gpkae4a
Finite-Time Control for A Class of Inverted Pendulum Systems
2019
IEEE Access
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This work addresses the finite-time control problem for a class of nonlinear inverted pendulum systems. ...
A series of homogeneous controllers, which are capable of guaranteeing the locally finite-time stability for the closed-loop systems, are first developed using the adding one power integrator method and ...
Reference [10] investigated the problems of global asymptotic tracking and finite-time stability for a class of nonlinear non-strict feedback systems, The authors in [11] proposed a finite-time adaptive ...
doi:10.1109/access.2019.2938862
fatcat:hly3ep6vxngs5ba2gtgq2xfp3e
Page 4824 of Mathematical Reviews Vol. , Issue 86j
[page]
1986
Mathematical Reviews
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The major approximation form uses a central differ- ence in time and Galerkin finite elements in space. ...
Author summary: “We describe a direct elimination procedure in
the boundary element analysis which produces a governing matrix
in an upper triangular form instead of a fully populated version in the classical ...
Neumann Series in GMRES and Algebraic Multigrid Smoothers
[article]
2021
arXiv
pre-print
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Connections are made between the (non)normality of the L and U factors and nonlinear stability analysis, as well as the pseudospectra of the coefficient matrix. ...
Furthermore, re-orderings that preserve structural symmetry also reduce the departure from normality of the upper triangular factor and improve the relative residual of the triangular solves. ...
A portion of this research used resources of the Oak Ridge Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract DE-AC05-00OR22725 and using computational ...
arXiv:2112.14681v1
fatcat:iz23bh6s6rg35jqhy5jc52tidm
Geometric quantization of finite Toda systems and coherent States
[article]
2017
arXiv
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We find the Rawnsley coherent states after a completion of the above space of sections. We also find non-unitary finite dimensional quantum Hilbert spaces for the system. ...
We quantize the Toda system by viewing it as a single orbit of a multiplicative group of lower triangular matrices of determinant one with pos- itive diagonal entries. ...
Adler goes on to show that the same system has a coadjoint orbit description of the group of lower triangular matrices of non-zero diagonal. ...
arXiv:1612.02987v3
fatcat:dzxm4sv4vbcfbbpyfnlis5m62q
On the assignability of regularity coefficients and central exponents of discrete linear time-varying systems
2019
IFAC-PapersOnLine
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Citation style: Babiarz A., Czornik A., Niezabitowski Michał. (2019). On the assignability of regularity coefficients and central exponents of discrete linear time-varying systems. ...
Abstract: In this paper we investigate the problem of assignability of the so-called regularity coefficients and central exponents of discrete linear time-varying systems. ...
of the adjoint system is symmetric with respect to zero to the spectrum of the initial system; for an upper triangular system its regularity is equivalent to the existence of finite average values of ...
doi:10.1016/j.ifacol.2019.12.349
fatcat:5rfs6i6gdvh67nx3moe27yk4l4
Control of uncertain nonlinear systems with arbitrary relative degree and unknown control direction using sliding modes
2007
International Journal of Adaptive Control and Signal Processing
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Global or semi-global stability properties of the closed-loop system are proved. ...
Such class encompasses nonlinear systems which are triangular in the unmeasured states. ...
The assumptions made in this paper about the plant are satisfied by the well-known class of triangular systems. ...
doi:10.1002/acs.978
fatcat:2ii6ogmyojei5mgvad6hndjace
Page 2385 of Mathematical Reviews Vol. , Issue 90D
[page]
1990
Mathematical Reviews
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A new class of time stepping methods us- ing higher-order finite elements in time is proposed. ...
Then some
inequalities are proved which relate the estimators with the global
upper and local lower bounds of the error. ...
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