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A note on the controllability of nonlinear systems

Mathematical Systems Theory, 1984
A question of the controllability of nonlinear systems is considered. On the basis of theorems due to \textit{L. M. Graves} [Duke Math. J. 17, 111- 114 (1950; Zbl 0037.204)] a new sufficient condition for local controllability is established.
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Controllability of general nonlinear systems

Mathematical Systems Theory, 1978
Consider the nonlinear system $$\dot x(t) = f(x(t)) + \sum\limits_{i = 1}^m {u_i (t)g_i (x(t)), x(0) = x_0 \in M}$$
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Norm-Controllability of Nonlinear Systems

IEEE Transactions on Automatic Control, 2015
In this paper, we introduce and study the notion of norm-controllability for nonlinear systems. This property captures the responsiveness of a system with respect to applied inputs, which is quantified via the norm of an output. As a main contribution, we obtain several Lyapunov-like sufficient conditions for norm-controllability, some of which are ...
Matthias Albrecht Müller   +2 more
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Adaptive Control of a Nonlinear System

IFAC Proceedings Volumes, 1982
Abstract This paper presents a brief analysis of an electromagnetic suspension system with linear and nonlinear magnet force-distance chacteristics. This analysis is then used to develop a real-time adaptive control algorithm for single-degree of freedom suspension system with nonlinear force characteristics.
P.K. Sinha, A.J. Hulme
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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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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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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 learning control for a class of nonlinear systems

Automatica, 2001
A nonlinear learning control scheme for asymptotic stabilization of a class of cascaded nonlinear systems is proposed. The direct Lyapunov method is one of the essential steps in the method. An illustrative example is provided.
Ham, C., Qu, Z., Kaloust, J.
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Controllability of Perturbed Nonlinear Systems

IMA Journal of Mathematical Control and Information, 1989
Summary: Sufficient conditions for complete controllability of perturbed nonlinear systems with implicit derivative are given. The results are a generalization of the previous results of the author [IEE Proc., Part D 132, 14-17 (1985; Zbl 0554.93012)], \textit{G. Anchini, G. Conti} and \textit{P. Zecca} [Note Mat. 6, 99-111 (1986; Zbl 0612.93008)], and
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Nonlinear damping control for interconnected nonlinear systems

2015 54th IEEE Conference on Decision and Control (CDC), 2015
In this paper, we propose enhanced nonlinear damping control for a class of singularly perturbed interconnected nonlinear systems (SPINSs). The proposed method transforms SPINS into a feedback connection of two subsystems. Then, nonlinear damping is implemented to improve the transient behavior of slow subsystem.
Donghoon Shin   +3 more
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