Results 151 to 160 of about 133,666 (191)

Identifiability of Scalar Linearly Parametrized Polynomial Systems

IFAC Proceedings Volumes, 1991
Abstract We present necessary and sufficient conditions for the identification of a vector θ of unknown parameters in scalar dynamical systems of the form x = f (x, θ) + g(x, u), where f(x, θ) is a polynomial function of the state x that is affine in θ, and g(x, u) is a polynomial in the state x and the input u.
S. Dasgupta, M. Gevers, G. Bastin, G. Campion, L. Chen   +4 more
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Parametric and state estimation for nonlinear polynomial systems

2017 18th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA), 2017
This manuscript deals with parametric and state estimation problem of discrete-time nonlinear polynomials systems. In this respect, the aim is to design a Recursive State and Parametric Estimation (RSPE) algorithm, based on least square principle, polynomial adjustable models and Kalman filter theory.
Marai Ghanmi Afef, Hajji Sofien, Kamoun Samira   +2 more
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Solving Parametric Polynomial Systems by RealComprehensiveTriangularize

2014
In the authors’ previous work, the concept of comprehensive triangular decomposition of parametric semi-algebraic systems (RCTD for short) was introduced. For a given parametric semi-algebraic system, say S, an RCTD partitions the parametric space into disjoint semi-algebraic sets, above each of which the real solutions of S are described by a finite ...
Changbo Chen, Marc Moreno Maza
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Arithmetic Continuation of Regular Roots of Formal Parametric Polynomial Systems

Computational Optimization and Applications, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eaves, B. Curtis, Rothblum, Uriel G.
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LFT representations of parametrized polynomial systems

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1999
Summary: The paper focuses on general linear constant differential systems in which the coefficients depend polynomially on several parameters. It is shown how the system matrix can be written in terms of a linear fractional transformation (LFT), which is a representation that extracts the parametric uncertainty.
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Polynomial Toolbox 2.5 and Systems with Parametric Uncertainties 1

IFAC Proceedings Volumes, 2000
Abstract Polynomial Toolbox is a new MATLAB toolbox for systems, signals and control analysis and design using polynomial methods. See www.polyx.cz for more details. This paper demonstrates on several examples how the Polynomial Toolbox solves various robust control problems for plants with parametric uncertainties.
Michael Šebek, Martin Hromčik, Jan Ježek   +2 more
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NON-ALGEBRAIC LIMIT CYCLES FOR PARAMETRIZED PLANAR POLYNOMIAL SYSTEMS

International Journal of Mathematics, 2007
In this paper, we determine conditions for planar systems of the form [Formula: see text] where a, b and c are real constants, to possess non-algebraic limit cycles. This is done as an application of a former theorem gives description of the existence of the non-algebraic limit cycles of the family of systems: [Formula: see text] where Pn(x,y), Qn(x,y)
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Parametric Synthesis of Nonlinear Automatic Control Systems with Polynomial Approximation

2019 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF), 2019
The article discusses the solution of the problem of the synthesis of the parameters of the control laws of nonlinear continuous and pulse automatic control systems with the polynomial approximation of nonlinearities. As a mathematical apparatus, the inversion of the direct variational method of analysis — the generalized Galerkin method — is used to ...
E. Yu. Vataeva, V. F. Shishlakov, D. V. Shishlakov, N. V. Reshetnikova   +3 more
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Polynomial Chaos Expansion for Parametric Problems in Engineering Systems: A Review

IEEE Systems Journal, 2020
In engineering systems with uncertain parameters, it is crucial for system analysis and control to analyze the relationship between these uncertain parameters and system outputs (or states). Nevertheless, the acquisition of this parameter-output function, termed parametric problem in this article, is not easy because it is usually a complicated ...
Danfeng Shen, Hao Wu, Bingqing Xia, Deqiang Gan   +3 more
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Bipolar fuzzy system of linear equations with polynomial parametric form

Journal of Intelligent & Fuzzy Systems, 2019
 The notions of center and distance between two Parametric Bipolar Fuzzy Numbers (PBFNs) by giving the preference of right dominance as compared to the left dominance are presented. The solution of Bipolar Fuzzy System of Linear Equations (BFSLEs) is discussed with polynomial parametric bipolar fuzzy number coefficients matrix having crisp real ...
Akram, Muhammad, Muhammad, Ghulam, Hussain, Nawab   +2 more
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