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null controllability
Description:
A property of a dynamical system whereby suitable controls can drive its state to zero in finite time, studied in control theory for partial differential equations.
Primary topic:
Stability and Controllability of Differential Equations (77%)
Related topic:
Stability and Controllability of Differential Equations (77%)
OpenAlex ID:
keywords/null-controllability
Semi-Global Leader-Following Consensus of Linear Multi-Agent Systems With Input Saturation via Low Gain Feedback
2013
·
Housheng Su
, Michael Z. Q. Chen
, et al.
·
IEEE Transactions on Circuits and Systems I Regular Papers
·
545
Null and approximate controllability for weakly blowing up semilinear heat equations
2000
·
Enrique Fernández-Cara
, Enrique Zuazua
·
Annales de l Institut Henri Poincaré C Analyse Non Linéaire
·
384
PDF
On the Bipartite Consensus for Generic Linear Multiagent Systems With Input Saturation
2016
·
Jiahu Qin
, Weiming Fu
, et al.
·
IEEE Transactions on Cybernetics
·
373
Semiglobal Observer-Based Leader-Following Consensus With Input Saturation
2013
·
Housheng Su
, Michael Z. Q. Chen
, et al.
·
IEEE Transactions on Industrial Electronics
·
291
On the attitude stabilization of rigid spacecraft
1991
·
Christopher I. Byrnes
, Alberto Isidori
·
Automatica
·
288
Local exact controllability of the Navier–Stokes system
2004
·
E. Fernández-Cara
, S. Guerrero
, et al.
·
Journal de Mathématiques Pures et Appliquées
·
251
PDF
An algebraic approach to bounded controllability of linear systems†
1984
·
EDUARDO D. SONTAG
·
International Journal of Control
·
238
Controllability in Linear Autonomous Systems with Positive Controllers
1972
·
Robert F. Brammer
·
SIAM Journal on Control
·
236
Carleman estimates for degenerate parabolic operators with applications to null controllability
2006
·
F. Alabau-Boussouira
, P. Cannarsa
, et al.
·
Journal of Evolution Equations
·
234
Fully Distributed Event-Triggered Semiglobal Consensus of Multi-agent Systems With Input Saturation
2016
·
Xiaoling Wang
, Housheng Su
, et al.
·
IEEE Transactions on Industrial Electronics
·
233
Carleman Estimates for a Class of Degenerate Parabolic Operators
2008
·
P. Cannarsa
, P. Martinez
, et al.
·
SIAM Journal on Control and Optimization
·
219
Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
2006
·
Enrique Fernández‐Cara
, Sergio Guerrero
·
SIAM Journal on Control and Optimization
·
219
Null-Controllability of a System of Linear Thermoelasticity
1998
·
Gilles Lebeau
, Enrique Zuazua
·
Archive for Rational Mechanics and Analysis
·
215
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
2011
·
Jérôme Le Rousseau
, Gilles Lebeau
·
ESAIM Control Optimisation and Calculus of Variations
·
201
PDF
Semi-global stabilizability of linear null controllable systems with input nonlinearities
1995
·
A.R. Teel
·
IEEE Transactions on Automatic Control
·
187
Null Controllability of Linear Systems with Constrained Controls
1980
·
W. E. Schmitendorf
, B. R. Barmish
·
SIAM Journal on Control and Optimization
·
182
On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
2002
·
A. Doubova
, E. Fernández-Cara
, et al.
·
SIAM Journal on Control and Optimization
·
157
Null controllability of degenerate heat equations
2005
·
P. Cannarsa
, P. Martinez
, et al.
·
Advances in Differential Equations
·
152
Null controllability of the semilinear heat equation
1997
·
E. Fernandez-Cara
·
ESAIM Control Optimisation and Calculus of Variations
·
141
PDF
Null Controllability for Forward and Backward Stochastic Parabolic Equations
2009
·
Shanjian Tang
, Xu Zhang
·
SIAM Journal on Control and Optimization
·
138
Null Controllability and Finite Time Stabilization for the Heat Equations with Variable Coefficients in Space in One Dimension via Backstepping Approach
2017
·
Jean-Michel Coron
, Hoai-Minh Nguyen
·
Archive for Rational Mechanics and Analysis
·
125
Semi-global stabilization of linear systems with position and rate-limited actuators
1997
·
Zongli Lin
·
Systems & Control Letters
·
122
Polynomial decay and control of a 1−d hyperbolic–parabolic coupled system
2004
·
Xu Zhang
, Enrique Zuazua
·
Journal of Differential Equations
·
118
Carleman estimates for one-dimensional degenerate heat equations
2006
·
P. Martinez
, J. Vancostenoble
·
Journal of Evolution Equations
·
114
Null controllability of the heat equation with boundary Fourier conditions: the linear case
2006
·
Enrique Fernández-Cara
, Manuel González-Burgos
, et al.
·
ESAIM Control Optimisation and Calculus of Variations
·
112
PDF
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Works count:
1,825
Citation count:
22,030
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