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Global Controllability of Nonlinear Systems

SIAM Journal on Control, 1972
This article deals with the controllability of nonlinear differential systems which arise when a linear system is perturbed. The sufficiency conditions presented insure that the nonlinear system will be (globally) controllable whenever its linear part is controllable. Moreover, the steering can be accomplished using continuous controls with arbitrarily
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Feedback control of nonlinear systems

International Journal of Robust and Nonlinear Control, 1992
AbstractThis paper deals with the design of (memoryless) state‐feedback laws for systems modelled by nonlinear differential equations which are affine in the inputs. The purpose of the design is to obtain a (locally) internally stable closed‐loop system in which the effect of exogenous inputs on a prescribed error (or, more in general, on a penalty ...
Alberto Isidori, Alberto Isidori
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Reliable control of nonlinear systems

IEEE Transactions on Automatic Control, 2000
Summary: In this paper, we extend Veillette's results [\textit{R. J. Veillette}, Automatica 31, No. 1, 137-143 (1995; Zbl 0825.93249)] to the study of a reliable linear-quadratic regulator problem for nonlinear systems. This is achieved by employing the Hamilton-Jacobi inequality in the nonlinear case instead of algebraic Riccati equation in the linear
Der-Cheng Liaw   +2 more
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Controllability of nonlinear control systems

1986 25th IEEE Conference on Decision and Control, 1986
Controllability properties of analytic affine control systems ? with an arbitrary number of controls and no a priori bounds are studied, without any restriction on the dimension of the Lie algebra T' generated by the input vector fields. Sufficient conditions for local controllability at a point are presented, involving the Lie brackets at that point ...
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On the controllability of nonlinear systems with symmetry

Systems & Control Letters, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siying Zhang, Jun Zhao
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Controllability of nonlinear stochastic control systems

Systems & Control Letters, 1982
Abstract In the paper sufficient conditions for ‘deterministic weak controllability’ of nonlinear Ito equations of the form d x(t)= f(x(t))+ ∑ t=1 m u t (t)g t (x(t)) d t+ ∑ j=1 l h j (x(t)) dw j . 1⩾0,x(0)=P{}∈R n are given.
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Controllability of nonlinear systems

IFAC Proceedings Volumes, 2003
Abstract In the paper, infinite-dimensional, continuous-time control systems described by certain nonlinear abstract differential equations are considered. Using methods of functional analysis sufficient conditions for constrained exact local controllability are formulated and proved.
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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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On the robust control of nonlinear systems

Circuits, Systems, and Signal Processing, 1994
In this paper we consider robust stabilization of the class of nonlinear plants of the form $$\dot x = f(x) + \sum\limits_{i = 1}^m {g_i } (x)u_i (t),$$ which are equivalent, under smooth state space coordinate transformations and nonlinear state feedback, to controllable systems.
Piotr Woźniak, Krzysztof Kuźmiński
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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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