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Nonlinear Discrete Dynamical Systems
2001Most 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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Controllability theorem for nonlinear dynamical systems
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2002The author studies sufficient conditions for the existence of an absolutely continuous function \(x:[0,T]\to\mathbb{R}^n\) and a measurable function (control) \(u: [0,T]\to\mathbb{R}^m\) solving a boundary-value problem \[ \dot{x}(t) = f(t,x,u),\quad ...
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Nonlinear Discrete Dynamical Systems
2012In 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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On Nonlinear Perturbations of Dynamical Systems
IMA Journal of Mathematical Control and Information, 1985The nonlinear variation-of-constants formula is generalized to the case where the unperturbed operator has nonelliptic Fréchet derivation.
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Nonlinear Continuous Dynamical Systems
2012In this Chapter, basic concepts of nonlinear dynamical systems will be presented as a review material. Local theory, global theory and bifurcation theory of nonlinear dynamical systems will be discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at equilibrium will be presented. The higher singularity and
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Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems
, 2009Yan Li, YangQuan Chen, I. Podlubny
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Applications: Nonlinear Dynamic Systems
2009Bayesian Bounds provides a collection of the important papers dealing with the theory and application of Bayesian bounds. The book is essential to both engineers and statisticians whether they are practitioners or theorists. Each part of the book is introduced with the contributions of each selected paper and their interrelationship.
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Evolving Granular Fuzzy Model-Based Control of Nonlinear Dynamic Systems
IEEE transactions on fuzzy systems, 2015Daniel F Leite +3 more
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Event‐triggered UKF for nonlinear dynamic systems with packet dropout
, 2017Li Li +3 more
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