本文简要介绍 python 语言中 scipy.linalg.solve_discrete_lyapunov 的用法。 用法: scipy.linalg.solve_discrete_lyapunov(a, q, method=None)# 求解离散 Lyapunov 方程 。 参数 :: a, q: (M, M) 数组 分别对应上式中的 A 和 Q 的方阵。必须具有相同的形状。 method: {‘direct’, ‘bilinear’},可...
范围(7) 应用(4) 属性和关系(5) 参见 LyapunovSolve 历史 2010年引入(8.0) 按以下格式引用:Wolfram Research (2010),DiscreteLyapunovSolve,Wolfram 语言函数,https://reference.wolfram.com/language/ref/DiscreteLyapunovSolve.html. Copy to clipboard.
A new algorithm is suggested in this paper to solve discrete Lyapunov matrix equations. First, we design the algorithm to solve the matrix equations, of which coefficient matrices are of Frobenius form. Then, we extend this method successfully to general discrete Lyapunov matrix equations by ...
DiscreteLyapunovSolveControllabilityGramianObservabilityGramianLinearSolve 历史 2010年引入(8.0) 按以下格式引用:Wolfram Research (2010),LyapunovSolve,Wolfram 语言函数,https://reference.wolfram.com/language/ref/LyapunovSolve.html. Copy to clipboard.
Two methods for solving the discrete Lyapunov matrix equation A T XA-X=Q are presented and their corresponding algorithms are given. The first one is based on the Schur decomposition form of A. The second one considers the squared Smith method, in the following we give its convergent proof ...
solve_discrete_are(a, b, q, r)[source] Solves the discrete algebraic Riccati equation (DARE). The DARE is defined as X=A′XA−(A′XB)(R+B′XB)−1(B′XA)+QX=A′XA−(A′XB)(R+B′XB)−1(B′XA)+Q It is solved directly using a Schur decomposition method. Parameters: ...
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The discrete logarithm is the integer n solving the equation displaystylebⁿ=x, where x is an element of the group. Carrying out the exponentiation can be done efficiently, but the discrete logarithm is believed to be very hard to calculate in some groups. This asymmetry has important ...
Generalised H2 controller synthesis for uncertain discrete-time fuzzy systems via basis-dependent Lyapunov functions The generalised H 2 control problem is investigated for a class of discrete-time fuzzy systems with uncertainties. The uncertain fuzzy dynamic model is us... S Zhou,G Feng - IEE ...