Stability of nonlinear dynamical systems
Absolutely New, Simple and Effective Theory of Movement Steadiness
... asymptotical stability of any nonlinear dynamical systems, while up to now this work required often many hours, weeks or months, because the searching Liapunov’s function was very ...
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A Mathematica Implementation of Nonlinear Dynamical Systems Theory via the Spider Algorithm and Finding Critical Zeros of High-Degree Polynomials »
... A hyperbolic invariant set L is called hyperbolic (in the one-dimensional case) if the derivative of f is greater (smaller) than 1 in absolute value for all points in the invariant set. In higher dimensions, with f : M ö ...
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Adaptive control of nonlinear dynamical systems using a model reference approach
... linear systems, we wish to design an adaptive controller for as wide a class of systems {A, B} as ...overall stability of the ...some stability criteria in mind. For adaptive systems ...
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Dynamical Nonlinear Neural Networks with Perturbations Modeling and Global Robust Stability Analysis
... local stability of dynamical neural ...on nonlinear neural networks with ...exponential stability and instability have been ...exponential stability of nonlinear neural network ...
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Variable neural networks for adaptive control of nonlinear systems
... continuous-time nonlinear dynamical systems using neural ...the stability of the overall control scheme, even in the presence of modeling ...
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Integral observability operators of nonlinear dynamical systems
... in nonlinear dynamical systems, which are analytic with respect to phase variables, is ...noise stability of operation of phase state ...for nonlinear observability problem are pro- ...
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Process control for cement grinding in Vertical Roller Mill (VRM): A review
... in dynamical systems are conquered using feed forward controller with feed forward compensation and the integration of other advanced control ...the nonlinear adaptive control system. ...
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Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems
... It might be noted that the restrictions included in P3 makes the function M nonlinear, un- like the conventional literature in this area where both M and N are linear. Such nonlinearity might arise, for instance, ...
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Optimal Controller Synthesis for Nonlinear Systems
... ing stability, the most common form of specifications for control, includes feedback linearization and differential geometry based methods [24], ...the dynamical systems of ...from stability, ...
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Perturbation in Nonlinear Operator Dynamical Systems
... using nonlinear operator ...The stability and asymptotic behavior of nonlinear systems of delay and functional differential equations in abstract space have been studied by Lakshmikantham 1981 ...
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Lyapunov Stability Analysis of Certain Third Order Nonlinear Differential Equations
... the stability analysis of dynamical ...the systems of differential equations involved, we were able to obtain the qualitative beha- viour of the systems near their equilibrium ...
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Modeling Nonlinear Dynamical Systems
... In this study, relative change of the process was used as the system evolves with time. The study considered structural model with partial sum as an approach to statistical model building for nonlinear ...
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A notion of stability in probability of stochastic nonlinear systems
... the stability analysis of stochastic nonlinear systems (SNS) has been one of the most active and important areas in control ...the stability of trivial solutions of SNS, but there are very few ...
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Stabilization of Functional System with Markovian Switching
... discuss stability of ...chastic systems as those in deterministic systems in ...functional systems, such as ...unstable nonlinear functional system by introducing two Brownian ...
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Matrix measure and application to stability of matrices and interval dynamical systems
... the stability of a finitely many well-chosen matrices guarantees stability of the convex hull and positive cone of the whole matrix ...the stability of interval dynamical systems, the ...
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Stability implications on the asymptotic behavior of nonlinear systems
... Stability Implications on the Asymptotic Behavior of Second Order Differential Equations, Proc.. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.[r] ...
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Nonlinear controller design methods for modern building heating and ventilation systems using inverse dynamics
... ventilation systems are strongly coupled, in that the action of one has an effect on the ...two systems fighting each other and resulting in inefficient energy ...HVAC systems are subject to many ...
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Discrete Chaos in Fractional Henon Map
... difference systems start to attract increasing attention due to its potential applications in secure communication and control ...the nonlinear phenomenon more accurately since their struc- ture is of ...
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Robustness and Stability of Limit Cycles in a Class of Planar Dynamical Systems
... the stability of the limit cycles emerging from this bifurcation, we reduce our dynamical system represented by (1) to its topological normal form, us- ing a method outlined by (Edneral 2007), (Wiggins ...
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Synchronization in networks with multiple interaction layers
... 1 dynamical setup pave the way for the exploration of syn- chronization properties on multilayer networks of arbitrary size and ...synchronizable systems, a problem that has attracted much attention in ...
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