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We consider an infinite-dimensional dynamical system with polynomial nonlinearity and additive noise given by a finite number of Wiener processes.
The numerical method of the Cauchy problem solving for anisotropic elastic system with polynomial data is obtained and its correctness is established.
However, the system measured in the current document is a non-linear system with polynomial damping coefficients and excitation capacity, and the current technique can be employed in problems with non-linear rigidity by presenting a Taylor series expansion of fractional order.
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Finding Lyapunov or Bendixson-Dulac functions for nonlinear dynamical systems (with polynomial vector fields).
A methodology to design guaranteed cost H∞ controllers for a class of switched systems with polynomial vector fields is proposed.
In this paper, aircraft with control surface impairment faults is modelled as a set of affine parameter-dependent nonlinear systems with polynomial vector fields.
This criterion can be translated into a tabular method, in which for a system with characteristic polynomial C s, K), the table has n + 1 rows and the following structure depicted in Table 1 (neglecting the dependence on K).
This paper presents the mean-square optimal data-based quadratic-Gaussian controller for stochastic nonlinear polynomial systems with a polynomial multiplicative noise, a linear control input, and a quadratic criterion over linear observations.
As an intermediate result, the paper gives a closed-form solution of the optimal regulator (control) problem for stochastic nonlinear polynomial systems with a polynomial multiplicative noise, a linear control input, and a quadratic criterion.
In this paper the properties of the oscillatory motion of the system with non-polynomial damping is investigated.
The aim of the filtering problem is to design a least squares filter for the formulated nonlinear system with uncertain polynomials, and an upper bound of the filtering error covariance is found and subsequently minimized at each time step.
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