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We prove the theorem on necessary and sufficient conditions of partial instability and the theorem on partial stabilization of nonlinear dynamical systems.


After partial stabilization and CIP at 0.1 GPa the plasmachemical composition of PSZ+20% Al2O3 is sintered at 1650°C to a density of 4.7 g/cm3, but hasKlc=8.5 MPa · m1/2 and a strength of 700 MPa.


No tetragonal (t) phase is retained in the MO method, while 100% t phase is obtained in the calcined CP samples; the SG method leads to only partial stabilization of the t phase.


Partial stabilization of the composite morphology in incompatible blends with mixing time can be obtained through control of the viscosity of the dispersed phase.


The mechanisms which could be responsible for the partial stabilization of the strains are discussed and it is suggested that a similar mechanism is responsible for the production of sectors in both strains.

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 The effects of quenchant temperature on the stabilization and property of Cu Zn Al alloy were investigated by means of X ray diffraction and electrical resistivity measurement. Experimental results show that, when the quenchant temperature is higher than A f, thermoelastic martensite will be obtained; when the quenchant temperature is between M s and M f, martensite will exhibit partial stabilization and when the quenchant temperature is lower than M f, martensite will be stabilized.... The effects of quenchant temperature on the stabilization and property of Cu Zn Al alloy were investigated by means of X ray diffraction and electrical resistivity measurement. Experimental results show that, when the quenchant temperature is higher than A f, thermoelastic martensite will be obtained; when the quenchant temperature is between M s and M f, martensite will exhibit partial stabilization and when the quenchant temperature is lower than M f, martensite will be stabilized. The stabilization may be in close relation with the suppression of B 2 D 0 3 transformation.  ＱＵＥＮＣＨＩＮＳＴＡＢＩＬＩＺＡＴＩＯＮＯＦＣｕＺｎＡｌＡＬＬＯＹ①ＰｅｎｇＫｕｎ，ＴａｎＳｈｕｓｏｎｇ，ＬｉＳｈｕｔａｎｇＤｅｐａｒｔｍｅｎｔｏｆＭａｔｅｒｉａｌｓＳｃｉｅｎｃｅａｎｄＥｎｇｉｎｅｒｉｎｇ，ＣｅｎｔｒａｌＳｏｕｔｈＵｎｉｖｅｒ...  The partial stabilization problem for a class of nonlinear continuous timevarying control systems is investigated. Several stabilizing controllers are constructed based on the partial stability theory of Lyapunov and the property of Mmatrix; and some of these stabilizing controllers are only related to partial state variables. The controllers constructed here are shown to guarantee partial asymptotic stability of the closedloop systems. Some existed results in other literatures are... The partial stabilization problem for a class of nonlinear continuous timevarying control systems is investigated. Several stabilizing controllers are constructed based on the partial stability theory of Lyapunov and the property of Mmatrix; and some of these stabilizing controllers are only related to partial state variables. The controllers constructed here are shown to guarantee partial asymptotic stability of the closedloop systems. Some existed results in other literatures are extended and complemented by our results.  研究了一类非线性连续时变控制系统的部分镇定问题.利用Lyapunov部分稳定性理论和M2矩阵的性质,构造出了几个镇定控制器,其中一些控制器仅与系统的部分状态变量有关,所构造的控制器可确保反馈后的闭环系统是部分渐近稳定的,所得结论推广了有关文献中的相应结果.  Instead of assuming the conditions of partial stability for the corresponding isolated subsystems, this letter addresses partial stabilization for nonlinear control largescale systems with respect to part states. Based on both scalar and vector Lyapunov function and aggregationdecomposition methods, two control approaches, namely, a nonlinear feedback controller of full state variables and a linear feedback controller of partial state variables, were investigated. A nonlinear feedback controller... Instead of assuming the conditions of partial stability for the corresponding isolated subsystems, this letter addresses partial stabilization for nonlinear control largescale systems with respect to part states. Based on both scalar and vector Lyapunov function and aggregationdecomposition methods, two control approaches, namely, a nonlinear feedback controller of full state variables and a linear feedback controller of partial state variables, were investigated. A nonlinear feedback controller for control largescale systems was studied, where the corresponding isolated subsystems were unstable. A linear feedback controller of state variables for control largescale systems was discussed by use of the partial stability of the corresponding isolated subsystems with linear feedback control terms of partial state variables under the condition that the stability of the original isolated subsystems of the control largescale systems was unknown. Some sufficient conditions for the partial stabilization of control largescale systems were obtained by matrix properties and inequality analysis technique. A numerical example was presented to illustrate the effectiveness of the methods.  研究了非线性大系统关于部分状态变量的镇定问题,大系统放弃了其对应的孤立子系统部分状态为稳定的条件.基于数量与向量李雅普诺夫函数,以分解集结方法为基础,研究了两类控制方法.当控制大系统具有不稳定孤立子系统时,讨论了控制大系统的非线性反馈控制;当不知道控制大系统的孤立子系统的稳定性时,利用带有部分状态线性反馈控制项的孤立子系统的部分稳定性,讨论了控制大系统的部分状态变量线性反馈控制.基于矩阵的性质及不等式分析,分别得到了保证控制大系统部分状态渐近镇定的充分条件.算例证实了设计方法的有效性.  
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