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Global output feedback stabilization of a class of upper-triangular nonlinear systems

Chunjiang Qian
2009 2009 American Control Conference  
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  
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  
; 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]

Markus Tranninger, Sergiy Zhuk, Martin Steinberger, Leonid Fridman, Martin Horn
2018 arXiv   pre-print
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

Weizhou Su, Minyue Fu
2006 Automatica  
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

DER-CHERNG LIAW, YEW-WEN LIANG
1997 International Journal of Systems Science  
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

Y-J Pan, HJ Marquez, T Chen
2007 International Journal of Control  
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

A.S. Morse
1993 Systems & control letters (Print)  
, 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

Tingting Yang, Yongming Li
2019 IEEE Access  
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  
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]

Stephen Thomas, Arielle Carr, Paul Mullowney, Ruipeng Li, Kasia Świrydowicz
2021 arXiv   pre-print
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]

Rukmini Dey, Saibal Ganguli
2017 arXiv   pre-print
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

Artur Babiarz, Adam Czornik, Michał Niezabitowski
2019 IFAC-PapersOnLine  
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

T. R. Oliveira, A. J. Peixoto, E. V. L. Nunes, L. Hsu
2007 International Journal of Adaptive Control and Signal Processing  
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  
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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