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Published in 2018 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4326
Abstract: This paper deals with the stability analysis problem of discrete‐time polynomial systems subject to input quantization. The quantizer under consideration is supposed to be dynamic. Indeed, considering the quantization error as bounded disturbances, the regional…
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Keywords:
discrete time;
analysis;
time polynomial;
invariant set ... See more keywords
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Published in 2018 at "Earth Science Informatics"
DOI: 10.1007/s12145-018-0366-2
Abstract: Improvements in computational and observational technologies in geoinformatics, e.g., the use of laser scanners that produce huge point cloud data sets, or the proliferation of global navigation satellite systems (GNSS) and unmanned aircraft vehicles (UAVs),…
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Keywords:
dixon resultant;
dixon;
dixon edf;
parametric polynomial ... See more keywords
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Published in 2019 at "International Journal of Control, Automation and Systems"
DOI: 10.1007/s12555-018-0292-6
Abstract: This paper presents a novel approach to state-feedback stabilization of polynomial systems with bounded actuators. To overcome limitation of the existing approaches, we introduce additional variables that separate the system matrices and the Lyapunov matrices.…
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Keywords:
polynomial systems;
approach;
state;
state feedback ... See more keywords
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Published in 2017 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2017.1322156
Abstract: ABSTRACT This paper presents a solution to the optimal control problem for discrete-time stochastic nonlinear polynomial systems confused with white Poisson noises subject to a quadratic criterion. The solution is obtained in the following way:…
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Keywords:
stochastic nonlinear;
discrete time;
poisson noises;
controller ... See more keywords
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Published in 2021 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2020.3037842
Abstract: In this letter, we investigate the verification of dissipativity properties for polynomial systems without an explicitly identified model but directly from noise-corrupted measurements. Contrary to most data-driven approaches for nonlinear systems, we determine dissipativity properties…
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Keywords:
polynomial systems;
verification;
noisy input;
input state ... See more keywords
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Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2021.3134101
Abstract: Funnels are widely used in safety-critical applications such as robust motion planning as conservative bounds for possible state deviations due to disturbances. However, the problem of finding a tight funnel has been a challenging topic…
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Keywords:
problem;
polynomial systems;
fast computation;
piecewise polynomial ... See more keywords
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Published in 2020 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2923049
Abstract: In this paper, we propose a convex programming based method to address a long-standing problem of inner-approximating backward reachable sets of state-constrained polynomial systems subject to time-varying uncertainties. The backward reachable set is a set…
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Keywords:
time;
backward reachable;
inner approximating;
polynomial systems ... See more keywords
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Published in 2021 at "Mathematical Problems in Engineering"
DOI: 10.1155/2021/6342604
Abstract: This paper presents a sum of squares (SOS) approach for active fault tolerant control (AFTC) of nonlinear polynomial systems. A polynomial adaptive fault estimation algorithm for polynomial systems is firstly proposed. Then, sufficient conditions for…
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Keywords:
fault;
fault estimation;
fault tolerant;
tolerant control ... See more keywords
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Published in 2022 at "Transactions of the Institute of Measurement and Control"
DOI: 10.1177/01423312221124977
Abstract: In this paper, a robust fault estimation for polynomial systems with time delay via a polynomial adaptive observer is presented and described. In fact, in contrast to previous research works on actuator faults, the learning…
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Keywords:
polynomial systems;
estimation polynomial;
fault estimation;
robust fault ... See more keywords