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线性广义系统时滞相关渐近稳定的一个新判据 总被引:1,自引:0,他引:1
研究线性广义时滞系统时滞相关的渐近稳定性问题.利用Lyapunov-Krasovskii泛函理论和自由权矩阵方法,得到严格线性矩阵不等式(LMI)形式的时滞相关渐近稳定新判据,并没有采用模型变换和界定交叉项方法.最后通过数值算例验证新判据的有效性. 相似文献
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In this paper, the asymptotic stability for singular differential nonlinear systems with multiple time-varying delays is considered. The V-functional method for general singular differential delay system is investigated. The asymptotic stability criteria for singular differential nonlinear systems with multiple time-varying delays are derived based on V-functional method and some analytical techniques, which are described as matrix equations or matrix inequalities. The results obtained are computationally flexible and efficient. 相似文献
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Differential Equations - We prove that for any real-valued function $$theta (cdot ) $$ defined on the half-line $$[0,+infty ) $$ , monotone increasing to $$+infty $$ , and such that $$theta... 相似文献
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Sufficient conditions are established for the oscillation and nonoscillation of the system 相似文献
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本文研究了有界域上一类含临界指数与奇异位势的非线性椭圆方程组,利用Caffarelli-Kohn-Nirenberg不等式与Nehari流形,证明了该类方程组在参数满足一定条件下两组非平凡解的存在性. 相似文献
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改进了奇异M-矩阵的线性方程组的并行多分裂法的一些最近结果,给出了并行多分裂迭代方法的一些收敛性的理论结果。 相似文献
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Sufficient conditions for oscillation and nonoscillation of second-order linear equations are established. 相似文献
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The instability degree of linear systems of differential equations is estimated in terms of the dimensions of completely singular subspaces of integral cones of these systems. Special attention is given to the case where the linear system under study has first integrals of the type of nonsingular quadratic forms. General results are applied to a well-known problem concerning the gyroscopic stabilization of unstable equilibria of a mechanical system. 相似文献
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Yongzhong Song 《BIT Numerical Mathematics》2002,42(3):611-624
In this paper, monotonicity of iterative methods for solving general solvable singularly systems is discussed. The monotonicity results given by Berman, Plemmons, and Semal are generalized to singular systems. It is shown that for an iterative method introduced by a nonnegative splitting of the coefficient matrix there exist some initial guesses such that the iterative sequence converges towards a solution of the system from below or from above. The monotonicity of the block Gauss-Seidel method for solving a p-cyclic system and Markov chain is considered. 相似文献
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当模糊线性系统的系数矩阵奇异时, 分析了模糊线性系统的右端向量和系数矩阵的扰动对模糊线性系统解的计算造成的影响,用矩阵的谱范数给出了相对误差的界. 相似文献
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采用两种不同的方法,得到了线性矩阵Hamilton系统的振动性判据.这些振动性判据仅依赖于系数矩阵在[to,∞)的某些子区间上的性质,从而改进并推广了许多已知的Kamenev型振动准则. 相似文献