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Nonlinear dynamical systems

Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator Lie algebras

Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator Lie algebras

... Abstract. A hierarchy of Lax-type flows on a dual space to the centrally extended Lie algebra of integral-differential operators with matrix-valued coefficients is considered. By means of a specially constructed Backlund ...

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Design of an Omni-directional Spherical Robot: Using Fuzzy Control

Design of an Omni-directional Spherical Robot: Using Fuzzy Control

... [22] A.M. Bloch. Nonholonomic Mechanics and Control. Springer, 2003 C.H. Wang, H.L. Liu, T.C. Lin “Direct adaptive fuzzy-neural control with state observer and supervisory controller for unknown nonlinear ...

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TEMA (São Carlos)  vol.13 número2

TEMA (São Carlos) vol.13 número2

... practical nonlinear dynamical systems are not globally ...in nonlinear system theory [10] with great importance in several applications [19, 17, ...of nonlinear dynamical ...

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Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation

Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation

... nonsmooth dynamical systems theory around typical ...nonsmooth systems and geometric singular perturbation theory. Such systems are represented by discontinuous vector fields on R ℓ , ℓ ≥ 2, ...

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Logarithmic and power law input-output relations in sensory systems with fold-change detection.

Logarithmic and power law input-output relations in sensory systems with fold-change detection.

... The higher c, the more Y is needed to repress Z. The parameter n - the Hill coefficient of the input function - is important for this study, and determines the steepness of the regulation of the output Z by the internal ...

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A REVIEW OF INTELLIGENT CONTROL SYSTEMS APPLIED TO THE INVERTED-PENDULUM PROBLEM

A REVIEW OF INTELLIGENT CONTROL SYSTEMS APPLIED TO THE INVERTED-PENDULUM PROBLEM

... control design of these systems. These techniques include state feedback, adaptive-control strategies, neural-network modeling to simulate possible combinations of input/output control, adaptive or intelligent ...

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Lat. Am. j. solids struct.  vol.10 número1

Lat. Am. j. solids struct. vol.10 número1

... applied to study dynamical stability and nonlinear vibrations of simply supported rectangular plate with both free and simply supported central square cutout. The numerical results for buck- ling loads, ...

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Simple Methods for Stability Analysis of Nonlinear Control Systems

Simple Methods for Stability Analysis of Nonlinear Control Systems

... of nonlinear circuit is that the plot of G*(jω) should lie entirely to the right of the Popov line which crosses the real axis at -1/k at a slope 1/q (q is an arbitrary real number) ...

6

J. Microw. Optoelectron. Electromagn. Appl.  vol.12 número2

J. Microw. Optoelectron. Electromagn. Appl. vol.12 número2

... Optical systems play key roles in telecommunications networks today, especially in intercontinental long-haul systems, where optical amplification and wavelength division multiplexing provide the lower cost ...

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J. Braz. Soc. Mech. Sci. & Eng.  vol.27 número2

J. Braz. Soc. Mech. Sci. & Eng. vol.27 número2

... The higher the value of this parameter the closer the behavior of the frequency response curve for the perturbed system is to the linear frequency response curve obtained by doing ∈= . It is 0 evident that the damping ...

4

Dynamical systems approach to theoretical models of disease s: Application to nonlinear HIV dynamics and blood vessel flows with aneurysm

Dynamical systems approach to theoretical models of disease s: Application to nonlinear HIV dynamics and blood vessel flows with aneurysm

... with time, whereas a negative value indicates exponential convergence. Each exponent represents the exponential divergence/convergence rate of solutions along a different di- rection in the phase space. In the case of ...

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Introdução ao controle de sistemas não-holonômicos.

Introdução ao controle de sistemas não-holonômicos.

... control systems, mainly mo- bile robots with Pfaffians constraints, so as to give an overview to the beginners in the ...in nonlinear, hybrid, time varying, and geometric control made possible the control ...

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Universidade Federal de Minas Gerais Escola de Engenharia Programa de Pós-Graduação em Engenharia Elétrica Estabilização Robusta de Sistemas Não Lineares Incertos Utilizando Representações Algébricas Diferenciais

Universidade Federal de Minas Gerais Escola de Engenharia Programa de Pós-Graduação em Engenharia Elétrica Estabilização Robusta de Sistemas Não Lineares Incertos Utilizando Representações Algébricas Diferenciais

... defines the guaranteed ellipsoidal set Ω(P, 1), together with the static state feedback gain K will be synthesized. Then we will define Semidefinite Programming (SDP) problems subject to those LMIs in order to estimate ...

102

Nonautonomous Di fference Equations with Applications

Nonautonomous Di fference Equations with Applications

... Notice that the nonautonomous periodic difference equation (2) does not generate a discrete (semi)dynamical system [30] as it may not satisfy the (semi)group property. One of the most effective ways of converting ...

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Data-Driven Gradient Descent Direct Adaptive Control for Discrete-Time Nonlinear SISO Systems

Data-Driven Gradient Descent Direct Adaptive Control for Discrete-Time Nonlinear SISO Systems

... Abstract —A novel data-driven gradient descent (GD) adaptive controller, for discrete-time single-input and single output (SISO) systems, is presented. The controller operates as the least mean squares (LMS) ...

7

Applications to dynamical systems to immunology and to random exchange economies

Applications to dynamical systems to immunology and to random exchange economies

... Burroughs et al. [21, 22] examined a mechanism of Treg control of immune responses through regulation of cytokine dependent T cell proliferation, where Tregs affect the level of cytokine through both adsorption and ...

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The fisheries dissipative effect modelling through dynamical systems and chaos theory

The fisheries dissipative effect modelling through dynamical systems and chaos theory

... It is presented a very simple mathematical model to study the dissipative effect in fisheries, based in dynamical systems and in its approach through chaos theory. Actually, due to constant misconducts, ...

6

Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation

Dynamical modelling of constrained flexible systems using a modal Udwadia-Kalaba formulation

... For the guitar body, modal parameters were identified in the frequency range 0–800 Hz from a transfer function (with both excitation and vibratory response normal to the sound- board) measured at the bridge of our tested ...

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S TUDY OF AN

S TUDY OF AN

... families. Dynamical systems emerged in the mathematical finance literature to help comprehending better the unique characteristics of these financial markets and the price dynamics over the ...point ...

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Bacias crivadas em sistemas mecânicos e biológicos e estudo da variabilidade da frequência...

Bacias crivadas em sistemas mecânicos e biológicos e estudo da variabilidade da frequência...

... ported by an infinite number of unstable periodic orbits, and a quantitative characterization of the chaotic orbits is thus furnished by a periodic orbit analysis. Commonly used diag- nostic in the latter are the ...

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