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Nonlinear controllers for nonlinear systems with input nonlinearities [PDF]
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.
J.L. Fausz +2 more
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Controllability of nonlinear systems
Numerical Functional Analysis and Optimization, 1989In this paper we obtain global controllability of a semilinear system involving monotone nonlinearities of both Lipschitzian and non-Lipschitzian types.
JOSHI, MC, GEORGE, RK
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Control of Nonlinear Systems [PDF]
Abstract : This research by the PI and his graduate students was on: (1) State- Space and I/O systems, (2) Systems with Saturated Control, (3) Discrete-Time Control, (4), Identification of Nonlinear systems and (5) I/O Equations. Twelve papers were published under this grant.
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Controllability of nonlinear systems
Journal of Optimization Theory and Applications, 1977Some sufficient conditions are presented for the controllability of general nonlinear systems. First, the controllability problem is transformed into the problem of existence of fixed points for some operator; using Schauder's theorem, it is derived that a sufficient condition for controllability is the existence of a subsetS inCn+m (T) which is ...
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On the controllability of a class of nonlinear systems
IEEE Transactions on Automatic Control, 1971For the system dx/dt = f(x, t) + B(t)u with f(x, t) defined in a bounded region in the state space, sufficient conditions for the initial states to be controllable are given.
B. Womack, K. Mirza
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Controllability of nonlinear systems with delay in control [PDF]
Sufficient conditions for global relative controllability of certain types of nonlinear time-varying systems with time-variable delay in control are given. The results are obtained by using Schauder's fixed-point theorem. The results obtained are a generalization of Davison [3].
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Controllability of nonlinear systems with restrained controls [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Perturbations of nonlinear controllable systems
1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1980In 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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