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Systems and Polynomial Matrices

1980
The usual starting-point for a theory of time-invariant, finite-dimensional linear systems is $${}_{{y = Cx}}^{{\dot{x} = Ax + Bu}}\}$$ (1) but for certain purposes this is too restrictive.
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DA in Polynomial Systems

2011
This chapter addresses the estimation of the DA of equilibrium points of polynomial systems, i.e. dynamical systems whose dynamics is described by a polynomial function of the state, by using polynomial LFs and SOS programming. It is shown that a condition for establishing whether a sublevel set of a LF is an estimate of the DA can be obtained in terms
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Polynomial Controller Synthesis for Uncertain Large-Scale Polynomial T–S Fuzzy Systems

IEEE Transactions on Cybernetics, 2021
Van-Phong Vu, Wen-June Wang
exaly  

Active sparse polynomial chaos expansion for system reliability analysis

Reliability Engineering and System Safety, 2020
Yicheng Zhou, Zhenzhou Lu, Wanying Yun
exaly  

Two-Dimensional Parametric Polynomial Chaotic System

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
Zhongyun Hua, yongyong Chen, Han Bao
exaly  

Polynomial systems

Robin Pemantle, Julian Joseph Gould
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Stability Analysis of Polynomial-Fuzzy-Model-Based Control Systems Using Switching Polynomial Lyapunov Function

IEEE Transactions on Fuzzy Systems, 2013
Hak-Keung Lam, Hongyi Li, Honghai Liu
exaly  

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