Results 251 to 260 of about 487,705 (287)

Nonlinear Discrete Dynamical Systems

2001
Most of the dynamics displayed by highly complicated nonlinear systems also appear for simple nonlinear systems. The reader is first introduced to the tent function, which is composed of two straight lines. The graphical method of iteration is introduced using this simple function since the constructions may be easily carried out with graph paper, rule,
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Feedback nonlinear discrete-time systems

International Journal of Systems Science, 2013
In this paper, we design an adaptive iterative learning control method for a class of high-order nonlinear output feedback discrete-time systems with random initial conditions and iteration-varying desired trajectories. An n-step ahead predictor approach is employed to estimate future outputs.
Miao Yu, Jiasen Wang, Donglian Qi
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Nonlinear Discrete Dynamical Systems

2012
In this chapter, the basic concepts of nonlinear discrete systems will be presented. The local and global theory of stability and bifurcation for nonlinear discrete systems will be discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at fixed points under specific period will be presented.
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Discrete-time nonlinear system stability

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1992
Summary: Given a state-space representation of a nonlinear system, asymptotic stability of an equilibrium point (say the origin) with zero input and small-signal stability with zero initial conditions are well understood. For most nonlinear systems; ``too large an initial state'' or ``too large a bounded input'' can result in unbounded states as time ...
DeGroat, Ronald D., Hunt, Louis R., Linebarger, Darel A., Verma, Madan   +3 more
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Memorized Nonlinear Discrete Systems

2016
In this chapter, basic concepts of memorized nonlinear discrete systems will be presented. The local theory of stability and bifurcation for memorized nonlinear discrete systems will be discussed.
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Stabilizability of Discrete-Time Nonlinear Systems

IMA Journal of Mathematical Control and Information, 1989
Summary: This work deals with the property of stabilizing a nonlinear discrete- time control system to a specified equilibrium point by appropriate state feedback. For the most part, this paper presents Lyapunov-like sufficient conditions for stabilizability of discrete-time systems that are affine in control.
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Stabilization of Discrete-Time Nonlinear Switching Systems

Circuits, Systems, and Signal Processing, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benmessaouda, Ouahiba, Benzaouia, Abdellah   +1 more
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Discrete-Time Nonlinear Control Systems

1990
In the preceding chapters we have restricted ourselves to continuous-time nonlinear control systems, and their discrete-time counterparts have been ignored so far. Although most engineering applications are concerned with (physical) continuous time systems, discrete-time systems naturally occur in various situations.
Henk Nijmeijer, Arjan van der Schaft
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Discretization schemes for nonlinear singularly perturbed systems

[1991] Proceedings of the 30th IEEE Conference on Decision and Control, 2002
The authors study the effect of slow and fast sampling and analyze the structure of the resulting sampled models in the case of nonlinear singularly perturbed systems. Using combinatorial equalities, related to the Baker-Campbell-Hausdorff formula, discretization schemes for such systems are proposed.
Barbot J. P., MONACO, Salvatore, Normand Cyrot D., Pantalos N.   +3 more
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DECOMPOSITION OF NONLINEAR DISCRETE-TIME STOCHASTIC SYSTEMS

Acta Mathematica Scientia, 1985
This paper gives a mathematical definition for ``caution'' and ``probing'', and presents a decomposition theorem for nonlinear discrete- time stochastic systems. Under some assumptions, the problem of finding the closed-loop optimal control can be decomposed into three problems: deterministic optimal feedback, cautious optimal and probing optimal ...
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