Analysing the Stability of Linear Systems via Exponential Chebyshev Polynomials

Vladimir Y. Protasov; Raphaël M. Jungers

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Analysing the Stability of Linear Systems via Exponential Chebyshev Polynomials

机译：通过指数Chebyshev多项式分析线性系统的稳定性

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摘要

We analyze the problem of stability of a continuous time linear switching system (LSS) versus the stability of its Euler discretization. In case of matrices with real spectrum, we obtain a lower bound for the Euler step size to decide stability. This leads to a method for computing the Lyapunov exponent with a given accuracy and with a guaranteed computational cost. Our approach is based on the analysis of Chebyshev systems of exponents.

机译：我们分析了连续时间线性切换系统（LSS）的稳定性与其Euler离散化的稳定性的问题。在具有实谱的矩阵的情况下，我们获得欧拉步长的下限以决定稳定性。这导致了一种以给定的精度和保证的计算成本来计算李雅普诺夫指数的方法。我们的方法基于对Chebyshev指数系统的分析。

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来源
《IEEE Transactions on Automatic Control》 |2016年第3期|795-798|共4页
作者
Vladimir Y. Protasov; Raphaël M. Jungers;
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正文语种 eng
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Discretization step; Lyapunov exponent; Markov-Bernstein inequalities; discretization step; joint spectral radius; linear switching system; stability;

机译：离散步;Lyapunov指数;Markov-Bernstein不等式;离散步;联合谱半径;线性切换系统;稳定性;

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3. Solution and stability of a set ofPTH order linear differential equations with periodic coefficients via Chebyshev polynomials [J] . S. C.Sinha, Eric A.Butcher Mathematical Problems in Engineering: Theory, Methods and Applications . 1996,第2期

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4. Polynomial Lyapunov Functions for Exponential Stability of Nonlinear Systems on Bounded Regions [C] . Matthew M. Peet, Pierre-Alexander Bliman IFAC World Congress . 2008

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Analysing the Stability of Linear Systems via Exponential Chebyshev Polynomials

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