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Perturbations of nonlinear controllable systems

1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1980
In the class of nonlinear, nonautonomous control systems we consider the property of controllability to a compact set on a fixed time interval, and we give a sufficient condition for this property to be preserved under small perturbations of the control system.
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Strong Controllability of Nonlinear Systems

SIAM Journal on Control and Optimization, 1986
Affine control systems defined by analytic vector fields are considered. The author individuates a subset of the Lie algebra associated to the system: the set of semicontrolled vector fields, which characterizes the strong controllability of the system. A method is given to determine some semicontrolled vector fields.
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Control of Uncertain Nonlinear Systems

Journal of Dynamic Systems, Measurement, and Control, 1993
This paper describes some of my research in the analysis and control of nonlinear uncertain systems in which the uncertainties are modeled deterministically rather than stochastically. The main applications are to mechanical/aerospace systems, such as robots and spacecraft; the underlying theoretical approach is based on Lyapunov theory.
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Analysis and Control of Nonlinear Systems

Journal of Dynamic Systems, Measurement, and Control, 1993
This paper describes my work on nonlinear analysis and control over the last twenty years. The first part of the paper concerns the development of nonlinear analysis tools for predicting stability and forced response characteristics of high speed ground vehicles.
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Invertibility of Nonlinear Control Systems

SIAM Journal on Control and Optimization, 1979
This paper gives necessary and sufficient conditions for the invertibility of nonlinear control systems of the form $\dot x = A(x) + uB(x)$; $y = c(x)$, where the state space is a real analytic manifold. For invertible systems we construct nonlinear inverse systems.
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Nonlinear controllers for nonlinear systems with input nonlinearities

Proceedings of the 36th IEEE Conference on Decision and Control, 1999
The authors consider control systems of the type \[ \dot x= f(x,\sigma(u)),\quad x(0)= x_0,\quad t\geq 0, \] where \(\sigma\) denotes an input nonlinearity -- in many cases saturation -- and present a methodology for designing globally stabilizing nonlinear controllers.
Haddad, Wassim M.   +2 more
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Synthesis of Control for Nonlinear Systems

Automatic Control and Computer Sciences, 2019
The optimization problem for nonlinear autonomous systems is considered. The proposed control synthesis method is based on the interval model of a nonlinear plant. The control synthesized ensures the stability and optimality of the closed-loop system under large deviations from the steady state.
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Global Controllability of Nonlinear Systems

SIAM Journal on Control and Optimization, 1976
This paper examines the relationship between the structure of the reachable set for nonlinear systems and the properties of the Lie algebras of vector fields associated with nonlinear systems. An expression for the reachable set at time t is obtained for a large class of nonlinear systems using unbounded controls.
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Controlling a Class of Nonlinear Systems on Rectangles

IEEE Transactions on Automatic Control, 2006
In this paper, we focus on a particular class of nonlinear affine control systems of the form xdot=f(x)+Bu, where the drift f is a multi-affine vector field (i.e., affine in each state component), the control distribution B is constant, and the control u is constrained to a convex set.
Calin Belta, Luc C. G. J. M. Habets
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ON CONTROL SETS AND FEEDBACK FOR NONLINEAR SYSTEMS

IFAC Proceedings Volumes, 1992
Abstract The knowledge of the Limit structure of a control system and of its control structure allows the construction of feedbacks globally stabilizing the system at fixed points within subsets of the state space. Some general results on these two related, but not coinciding structures are given.
Colonius, Fritz (Prof.)   +1 more
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