Feedback stabilization of nonlinear systems

ED Sontag - Robust Control of Linear Systems and Nonlinear …, 1990 - Springer
1 Introduction Page 1 FEEDBACK STABILIZATION OF NONLINEAR SYSTEMS Eduardo D.
Sontag Abstract This paper surveys some well-known facts as well as some recent …

Hybrid dynamical systems

R Goebel, RG Sanfelice, AR Teel - IEEE control systems …, 2009 - ieeexplore.ieee.org
Robust stability and control for systems that combine continuous-time and discrete-time
dynamics. This article is a tutorial on modeling the dynamics of hybrid systems, on the …

Outage constrained robust transmit optimization for multiuser MISO downlinks: Tractable approximations by conic optimization

KY Wang, AMC So, TH Chang… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
In this paper, we study a probabilistically robust transmit optimization problem under
imperfect channel state information (CSI) at the transmitter and under the multiuser multiple …

[图书][B] Mathematical control theory: deterministic finite dimensional systems

ED Sontag - 2013 - books.google.com
Mathematics is playing an ever more important role in the physical and biologi cal sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …

[PDF][PDF] Smooth stabilization implies coprime factorization

ED Sontag - IEEE transactions on automatic control, 1989 - researchgate.net
This paper shows that coprime right factorizations exist for the input to state mapping of a
continuous time nonlinear system provided that the smooth feedback stabilization problem …

[图书][B] Control and nonlinearity

JM Coron - 2007 - books.google.com
This book presents methods to study the controllability and the stabilization of nonlinear
control systems in finite and infinite dimensions. The emphasis is put on specific phenomena …

[PDF][PDF] Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems

CI Byrnes, A Isidori, JC Willems - IEEE Transactions on …, 1991 - homes.esat.kuleuven.be
In this paper, we derive conditions under which a nonlinear system can be rendered passive
via smooth state feedback and we show that, as in the case linear systems, this is possible if …

Adding integrations, saturated controls, and stabilization for feedforward systems

F Mazenc, L Praly - IEEE Transactions on Automatic Control, 1996 - ieeexplore.ieee.org
Our study relates to systems whose dynamics generalize x/spl dot/= h (y, u), y/spl dot/= f (y,
u), where the state components x integrate functions of the other components y and the …

Sufficient Lyapunov-like conditions for stabilization

J Tsinias - Mathematics of control, Signals and Systems, 1989 - Springer
In this paper we study the stabilizability problem for nonlinear control systems. We provide
sufficient Lyapunov-like conditions for the possibility of stabilizing a control system at an …

Feedback stabilization of nonlinear systems: Sufficient conditions and Lyapunov and input-output techniques

JM Coron, L Praly, A Teel - Trends in Control: A European Perspective, 1995 - Springer
This lecture is devoted to the survey of some recent results on feedback stabilization of
nonlinear systems. This text can be seen as a prolongation of the overview written by E …