广义控制大系统的镇定性
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摘要
本文在分析国内外对广义控制大系统镇定性研究现状的基础上,着重研究广义控制大系统镇定性的判定问题,给出广义控制大系统镇定性的判定条件与判定方法。主要内容如下：
1)分析广义系统、广义大系统及其稳定性的背景和研究现状,分析广义控制大系统及其镇定性的背景和研究现状；总结广义系统理论的数学模型及其受限等价变换形式；总结广义系统的渐近稳定性和有关概念。
2)给出判定带输入反馈的广义控制大系统可镇定与不可镇定的充分条件。对于带输入反馈的广义控制大系统,在广义控制大系统及其所有孤立子系统都是R-能控,并且其对应的广义闭环大系统及其每一个孤立子系统正则、无脉冲且渐近稳定的条件下,通过构建广义Lyapunov矩阵方程,利用广义Lyapunov函数法、系统分解法、广义系统理论和矩阵理论,得出广义闭环大系统渐近稳定与不稳定的判定定理,并给出对应的关联参数稳定域与不稳定域,从而得到原广义控制大系统在输入反馈下可镇定与不可镇定的判定条件。
3)给出判定带输出反馈的广义控制大系统可镇定与不可镇定的充分条件。对于带输出反馈的广义控制大系统,在广义控制大系统及其所有孤立子系统都是R-能控和R-能观,并且其对应的广义闭环大系统及其每一个孤立子系统正则、无脉冲且渐近稳定的条件下,得到原广义控制大系统在输出反馈下可镇定与不可镇定的判定条件。
4)给出判定带导数反馈的广义控制大系统可镇定与不可镇定的充分条件。对于带导数反馈的广义控制大系统,在广义控制大系统及其所有孤立子系统都是R-能控,并且其对应的广义闭环大系统及其每一个孤立子系统正则、无脉冲且渐近稳定的条件下,通过构建广义Lyapunov矩阵方程,得出广义闭环大系统渐近稳定与不稳定的判定定理,并给出对应的关联参数稳定域与不稳定域,从而通过导数反馈得到广义控制大系统可镇定与不可镇定的判定条件。
In this dissertation,a detailed analysis of the current situation of study on the stability of singular large-scale conrtol systems is studied and the stability of singular large-scale control systems is researched.the main results in this dissertation are as follows.
1) The backgruound, current situation and stability related to the singular systems, singular large-scale systems, singular large-scale control systems are summarized. Introduce the fundamental knowledge of the theorys and concepts.
2) The stability and unstability of singular lage-scale control systems with input feedbacks are investigated by using generalized Lyapunov matrix equation, generalized Lyapunov function method, system decomposition method, singular systems theory and matrix theory under the condition that all systems and all isolated subsystems are R-controllable and its all closed-loop systems and all closed-loop isolated subsystems are regular, impulsive-free and asymptotically stable. The asymptotic stability and unstability theorem of all closed-loop subsystems are obtained. The interconnecting parameter regions of stability and unstability are also given. The stability and unstability theorem of singular large-scale control systems are given.
3) The stability and unstability of singular lage-scale control systems with output feedbacks are investigated by using the similar method under the condition that all systems and all isolated subsystems are R-controllable and R-observable, and its all closed-loop systems and all closed-loop isolated subsystems are regular, impulsive-free and asymptotically stable. The stability and unstability theorem of singular large-scale control systems are given.
4) The stability and unstability of singular lage-scale control systems with derivative feedbacks are investigated by using generalized Lyapunov matrix equation under the condition that all systems and all isolated subsystems are R-controllable and its all closed-loop systems and all closed-loop isolated subsystems are regular, impulsive-free and asymptotically stable. The asymptotic stability and unstability theorem of all closed-loop subsystems are obtained. The interconnecting parameter regions of stability and unstability are also given. The stability and unstability theorem of singular large-scale control systems are given.
1)分析广义系统、广义大系统及其稳定性的背景和研究现状,分析广义控制大系统及其镇定性的背景和研究现状；总结广义系统理论的数学模型及其受限等价变换形式；总结广义系统的渐近稳定性和有关概念。
2)给出判定带输入反馈的广义控制大系统可镇定与不可镇定的充分条件。对于带输入反馈的广义控制大系统,在广义控制大系统及其所有孤立子系统都是R-能控,并且其对应的广义闭环大系统及其每一个孤立子系统正则、无脉冲且渐近稳定的条件下,通过构建广义Lyapunov矩阵方程,利用广义Lyapunov函数法、系统分解法、广义系统理论和矩阵理论,得出广义闭环大系统渐近稳定与不稳定的判定定理,并给出对应的关联参数稳定域与不稳定域,从而得到原广义控制大系统在输入反馈下可镇定与不可镇定的判定条件。
3)给出判定带输出反馈的广义控制大系统可镇定与不可镇定的充分条件。对于带输出反馈的广义控制大系统,在广义控制大系统及其所有孤立子系统都是R-能控和R-能观,并且其对应的广义闭环大系统及其每一个孤立子系统正则、无脉冲且渐近稳定的条件下,得到原广义控制大系统在输出反馈下可镇定与不可镇定的判定条件。
4)给出判定带导数反馈的广义控制大系统可镇定与不可镇定的充分条件。对于带导数反馈的广义控制大系统,在广义控制大系统及其所有孤立子系统都是R-能控,并且其对应的广义闭环大系统及其每一个孤立子系统正则、无脉冲且渐近稳定的条件下,通过构建广义Lyapunov矩阵方程,得出广义闭环大系统渐近稳定与不稳定的判定定理,并给出对应的关联参数稳定域与不稳定域,从而通过导数反馈得到广义控制大系统可镇定与不可镇定的判定条件。
In this dissertation,a detailed analysis of the current situation of study on the stability of singular large-scale conrtol systems is studied and the stability of singular large-scale control systems is researched.the main results in this dissertation are as follows.
1) The backgruound, current situation and stability related to the singular systems, singular large-scale systems, singular large-scale control systems are summarized. Introduce the fundamental knowledge of the theorys and concepts.
2) The stability and unstability of singular lage-scale control systems with input feedbacks are investigated by using generalized Lyapunov matrix equation, generalized Lyapunov function method, system decomposition method, singular systems theory and matrix theory under the condition that all systems and all isolated subsystems are R-controllable and its all closed-loop systems and all closed-loop isolated subsystems are regular, impulsive-free and asymptotically stable. The asymptotic stability and unstability theorem of all closed-loop subsystems are obtained. The interconnecting parameter regions of stability and unstability are also given. The stability and unstability theorem of singular large-scale control systems are given.
3) The stability and unstability of singular lage-scale control systems with output feedbacks are investigated by using the similar method under the condition that all systems and all isolated subsystems are R-controllable and R-observable, and its all closed-loop systems and all closed-loop isolated subsystems are regular, impulsive-free and asymptotically stable. The stability and unstability theorem of singular large-scale control systems are given.
4) The stability and unstability of singular lage-scale control systems with derivative feedbacks are investigated by using generalized Lyapunov matrix equation under the condition that all systems and all isolated subsystems are R-controllable and its all closed-loop systems and all closed-loop isolated subsystems are regular, impulsive-free and asymptotically stable. The asymptotic stability and unstability theorem of all closed-loop subsystems are obtained. The interconnecting parameter regions of stability and unstability are also given. The stability and unstability theorem of singular large-scale control systems are given.
引文
[1]H. H. Rosenbrock. Structural properties of linear dynamical systems[J]. Int. J. of Control, Vol.20, No.2, pp,191-202,1974.
[2]Campbell S L. Singular Systems of differential equations[M]. London:Pitman Advanced Publishing Program,1980.
[3]Campbell S L. Singular Systems of differential equations Ⅱ [M]. London:Pitman Advanced Publishing Program,1982.
[4]Cobb J D. Controllability, observability, and duality in singular systems [J]. IEEE Transactions on Automatic Control,1984, Vol.29,1076-1082.
[5]Chang N T and Davison E J. D ecentralized control for descriptor type systems[C]. In:Proc of IEEE 25th CDC,1986, USA,1,176-181.
[6]DinL. Singular Control Systems[M]. Berlin:Sping-Verlag,1989.
[7]张庆灵.广义大系统的分散控制与鲁棒控制[M].西安：西北工业大学出版社,1997.
[8]陈潮填.广义系统的运动稳定性[D].广州：华南理工大学,1998.
[9]杨冬梅,张庆灵,姚波等.广义系统[M].北京：科学出版社,2004.
[10]Xie X K. On fixed modes in singular systems[C]. In:Proc of American Control Conf.,1987, USA,1,150-151.
[11]王朝珠,王恩平.广义分散控制系统的无穷远固定模[J].系统科学与数学1988,Vo1.8,No.2,142-150.
[12]Newcomb R W. The senistate description of nonlinear time variable circuits. IEEE Trans Circuits and Systems[C].1981, CAS-28(1):62-71.
[13]储德林.关于广义分散控制系统的无穷远固定模的进一步研究[J].系统科学与数学,1989, Vol.9, No.3,202-205.
[14]胡仰曾,陈树中.分散广义系统固定模的两个代数特征[J].控制理论与应用,1990,Vol.7, No.1,92-96.
[15]高志伟,李光泉,中兆新,张嗣赢主编.广义分散控制系统有穷远固定模的消除[J].全国控制与决策会议文集.沈阳：东北大学出版社,1992,313-317.
[16]张庆灵,谢绪恺.脉冲固定模的代数特征[J].自动化学报,1991, Vol.17, No.1,87-90.
[17]谢绪恺,王殿辉,林崇,程学建.广义分散控制系统固定模判别的一方法[J].自动化学报,1995, Vol.21, No.2,145-153.
[18]张庆灵,戴冠中.有穷固定模的确定与消除[J].控制理论与应用,1997,Vol.14,No.3,407-410.
[19]张庆灵,胡仰曾.广义分散控制系统的结构脉冲固定模[J].系统科学与数学,1993,Vol.13, No.2,97-101.
[20]刘万泉.无脉冲模广义分散系统的控制[J].控制理论与应用,1992,Vol.9,No.3,232-236.
[21]王恩平,刘万泉.广义分散控制系统的有穷固定模[J].自动化学报,1990,Vol.16,No.3,358-362.
[22]张国山,谢绪恺.广义分散控制系统的R-能控性[J].控制理论与应用.1995,Vol.12,No.3,17-20.
[23]刘万全.广义系统与奇异摄动系统的分散控制[D].上海：上海交通大学,1992.
[24]张庆灵.广义分散控制系统的结构分析与控制[D].沈阳：东北大学.1995.
[25]张庆灵,戴冠中.广义系统的渐近稳定性与镇定[J].自动化学报,1998,Vol.24,No.2,208-211.
[26]Zhang Qing-ling, Lam J. G eneralized Lyapunov Equation for Analyzing the Stability of Descriptor Systems. Proc. of 14th World Congress of IFAC,1999,19-24.
[27]刘永清,宋中宽.大型动力系统的理论与应用(卷1)一一分解·稳定与结构[M].广州：华南工学院出版社,1988.
[28]刘永清,徐维鼎.大型动力系统理论与应用(卷2)一一建模·滞后与控制[M].广州：华南理工大学出版社,1989.
[29]Chen Chao-tian, and Liu Yong-qing. Lyapunov Stability Analysis of Linear Singular Dynamical Systems[C], Proceedings of the 1997 IEEE International Conference on Intelligent Processing Systems, IEEE pp.635-639,1998.
[30]Chen Chao-tian, Liu Yong-qing. Stability of large-scale linear singular dynamical systems and its interconnecting parameters regions[J]. Journal of South University Technoloty (Natural Science),1996, Vol.24, NO.5,51-56.
[31]Chen Chao-tian. Robust stabilization of nonlinear large-scale time-varying systems [C]. Proceedings of the IEEE 2003 International Conference on Machine Learning and Cybernetics,496-501, November 02-05,2003, Xi'an, CHINA.
[32]Chen Chao-tian, Liu Yong-qing. Robust Stabilization of Uncertain Large-scale Control Systems[C].1997 IEEE International Conference on Intelligent Processing Systems. October 28-31. Beijing, China.630-634.
[33]Chen Chao-tian, Liu Yong-qing. Stability of large-scale nonlinear singulardynamical systems and its interconnecting parameters regions[J]. Advances in Modelling&Analysis C:Systems Analysis, Control&Design Simulation, CAD.1999, Vol.53, NO.1,39-47.
[34]Chen Chao-tian, Liu Yong-qing. Structural stability and its perturbation parameter region of singular linear system[J]. Advances in Modelling&Analysis C:Systems Analysis, Control & Design Simulation, CAD.1999, Vol.53, NO.1,28-38.
[35]A.N.Michel, R.K.Miller. Qualitative analysis of large-scale dynamical systems[M]. New York:Academic Press,1977.
[36]Dragoslav D.Siljak. Large-Scale Dynamic Systems[J]:Stability and Structure. New York: Elsevier North-Holland,1978.
[37]Ishihara J Y and Terra M H. On the Lyapunov Theorem for Singular Systems[J]. IEEE Transactions on Automatic Control,2002,Vol.47, No.11, pp,1926-1930.
[38]Kuzmina, L.K.Stability theory methods in singularly perturbed systems dynamics[J]. Proceedings of the Fourth International Conference on Dynamic Systems and Applications, Vol.4, pp,374-383,2003.
[39]Gang Hu, Ji-tao SUN. Stability Analysis for Singular Systems with Time-varying[J]. Journal of TongJi university, Vol.31, pp,483-485,2003.
[40]Gang Hu, Cenfeng Liu. Guaranteed cost control for uncertain discretr-time systems under controller gain perturbations[C]. IEEEWCICAHangZhou, China,2004(6).
[41]张庆灵,戴冠中.徐心和等.离散广义系统稳定性分析与控制的Lyapunov方法[J].自动化学报,1998,Vol.24,No.5,622-629.
[42]张庆灵,樊治平.广义系统的Riccati方程[J].东北大学学报,1997,Vol.18,No.2,191-195.
[43]滕毓发,张庆灵.不确定广义系统的镇定[J].系统工程与电子技术,2006,Vol.28,No.6,915-918.
[44]滕毓发,张庆灵,张明学,郝建忠.广义大系统的分散鲁棒镇定[J].东北大学学报(自然科学版),2008,Vol.29,No.2,178-184.
[45]王慕秋.稳定性参数区域之扩大[J].数学学报,1975,Vol.18,No.2,107-122.
[46]Yongfang XIE, Weihua GUI, Zhaohui JIANG. Decentralized robust H-infinity descriptor output feedback control for value-bounded uncertain descriptor large-scale systems [J]. Journal of Control Theory and Applications,2006, Vol.4, No.2,193-200.
[47]YANG Li, ZHANG Qing-Ling, LIU Guo-Yi, LIU Pei-Yong. Robust Impulse Dissipative Control of Singular Systems with Uncertainties [J]. Acta Automatica Sinica,2007, Vol.33, No.5, 554-556.
[48]王继春.广义系统的导数反馈控制[D].辽宁：东北大学,2006.
[49]沃松林.广义大系统的稳定性与分散控制[D].南京：南京理工大学,2004.
[50]夏小惠.一类广义大系统的稳定性及鲁捧稳定性分析[D].南京：南京理工大学,2005.
[51]龙少华.广义大系统的稳定性分析[D].湖南：湘潭大学,2007.
[52]赵剑川.广义大系统稳定性的判定条件与方法[D].广州：广东工业大学,2008.
[53]温香彩,刘永清.具有非线性关联的广义分散系统的镇定问题[J].控制与决策,1997,Vol.12, No.4,301-306.
[54]白俊霞,刘琦,张高民.连续广义大系统的稳定性与关联参数域[J].科学技术与工程,2009, Vol.9, No.23,7133-7137.
[55]刘琦.广义系统的稳定性与分散控制[D].华东：中国石油大学,2007.
[56]刘辉金.一类广义大系统鲁棒稳定性分析与容错控制[D].湖南：辽宁科技大学,2008.
[57]胡雅光.两类广义大系统的稳定与镇定研究[D].湖北：三峡大学,2009.
[58]Songlin Wo, Guodong Shi, Yun Zou. Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty [J]. Journal of Systems Engineering and Electronics,2007, Vol.18, No.1,111-119.
[59]Jianghua Zhong, Daizhan Cheng, Xiaoming Hu. Constructive stabilization for quadratic input nonlinear systems[J]. Automatica.2008, Vol.44, No.8,1996-2005.
[60]Shu-Jun Liu, Zhong-Ping Jiang, Zhong-Ping Jiang. Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems[J]. Automatica,2008, Vol.44, No.8,1944-1957.
[61]Yuanqing Xia, El-Kebir Boukas, Peng Shi, Jinhui Zhang. Stability and stabilization of continuous-time singular hybrid systems[J]. Automatica,2009, Vol.45, No.6,1504-1509.
[62]Weizhou Su, Minyue Fu. Robust stabilization of nonlinear cascaded systems. Automatica[J], 2006, Vol.42, No.4,645-651.
[63]Shu-Jun Liu, Ji-Feng Zhang, Zhong-Ping Jiang. Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems[J]. Automatica,2007, Vol.43, No.2, 238-251.
[64]Jing Zhou, Meng Joo Er. Adaptive output control of a class of uncertain chaotic systems[J]. Systems & Control Letters,2007, Vol.56, No.6,452-460.
[65]马合保,康会光.非线性广义系统的输入-状态稳定性[J].安徽大学学报,2009,Vol.33,No.2,9-11.
[66]王福忠,姚波.广义系统动态输出反馈控制设计的新方法[J].数学实践与认识,2008,Vol.38, No.23,182-187.
[67]刘建州,方庆霞,刘烨.基于电力系统的广义大系统的稳定性[J].湖南大学学报,2009,Vol.36, No.10,50-53.
[68]刘杰,刘建州.广义互联大系统的渐近稳定与分散镇定[J].计算技术与自动化,2008,Vol.27, No.2,6-9.
[69]石海彬,刘晓平,张嗣瀛.广义互联大系统的相似结构和鲁棒镇定[J].东北大学学报,2001, Vol.22, No.4,355-357.
[70]王松桂,杨振海.广义逆矩阵及其应用[M].北京：北京工业大学出版社,2006.
[71]廖晓听.稳定性的数学理论及应用(第二版)[M].武汉：华中师范大学出版社,2006.
[72]钱祥征,戴斌祥,刘开宇.非线性常微分方程理论方法应用[M].长沙：湖南大学出版社,2006.
[73]梁家荣,樊晓平.不确定广义系统的鲁棒稳定性[J].系统工程,2002,Vol.20,No.4,7-11.
[2]Campbell S L. Singular Systems of differential equations[M]. London:Pitman Advanced Publishing Program,1980.
[3]Campbell S L. Singular Systems of differential equations Ⅱ [M]. London:Pitman Advanced Publishing Program,1982.
[4]Cobb J D. Controllability, observability, and duality in singular systems [J]. IEEE Transactions on Automatic Control,1984, Vol.29,1076-1082.
[5]Chang N T and Davison E J. D ecentralized control for descriptor type systems[C]. In:Proc of IEEE 25th CDC,1986, USA,1,176-181.
[6]DinL. Singular Control Systems[M]. Berlin:Sping-Verlag,1989.
[7]张庆灵.广义大系统的分散控制与鲁棒控制[M].西安：西北工业大学出版社,1997.
[8]陈潮填.广义系统的运动稳定性[D].广州：华南理工大学,1998.
[9]杨冬梅,张庆灵,姚波等.广义系统[M].北京：科学出版社,2004.
[10]Xie X K. On fixed modes in singular systems[C]. In:Proc of American Control Conf.,1987, USA,1,150-151.
[11]王朝珠,王恩平.广义分散控制系统的无穷远固定模[J].系统科学与数学1988,Vo1.8,No.2,142-150.
[12]Newcomb R W. The senistate description of nonlinear time variable circuits. IEEE Trans Circuits and Systems[C].1981, CAS-28(1):62-71.
[13]储德林.关于广义分散控制系统的无穷远固定模的进一步研究[J].系统科学与数学,1989, Vol.9, No.3,202-205.
[14]胡仰曾,陈树中.分散广义系统固定模的两个代数特征[J].控制理论与应用,1990,Vol.7, No.1,92-96.
[15]高志伟,李光泉,中兆新,张嗣赢主编.广义分散控制系统有穷远固定模的消除[J].全国控制与决策会议文集.沈阳：东北大学出版社,1992,313-317.
[16]张庆灵,谢绪恺.脉冲固定模的代数特征[J].自动化学报,1991, Vol.17, No.1,87-90.
[17]谢绪恺,王殿辉,林崇,程学建.广义分散控制系统固定模判别的一方法[J].自动化学报,1995, Vol.21, No.2,145-153.
[18]张庆灵,戴冠中.有穷固定模的确定与消除[J].控制理论与应用,1997,Vol.14,No.3,407-410.
[19]张庆灵,胡仰曾.广义分散控制系统的结构脉冲固定模[J].系统科学与数学,1993,Vol.13, No.2,97-101.
[20]刘万泉.无脉冲模广义分散系统的控制[J].控制理论与应用,1992,Vol.9,No.3,232-236.
[21]王恩平,刘万泉.广义分散控制系统的有穷固定模[J].自动化学报,1990,Vol.16,No.3,358-362.
[22]张国山,谢绪恺.广义分散控制系统的R-能控性[J].控制理论与应用.1995,Vol.12,No.3,17-20.
[23]刘万全.广义系统与奇异摄动系统的分散控制[D].上海：上海交通大学,1992.
[24]张庆灵.广义分散控制系统的结构分析与控制[D].沈阳：东北大学.1995.
[25]张庆灵,戴冠中.广义系统的渐近稳定性与镇定[J].自动化学报,1998,Vol.24,No.2,208-211.
[26]Zhang Qing-ling, Lam J. G eneralized Lyapunov Equation for Analyzing the Stability of Descriptor Systems. Proc. of 14th World Congress of IFAC,1999,19-24.
[27]刘永清,宋中宽.大型动力系统的理论与应用(卷1)一一分解·稳定与结构[M].广州：华南工学院出版社,1988.
[28]刘永清,徐维鼎.大型动力系统理论与应用(卷2)一一建模·滞后与控制[M].广州：华南理工大学出版社,1989.
[29]Chen Chao-tian, and Liu Yong-qing. Lyapunov Stability Analysis of Linear Singular Dynamical Systems[C], Proceedings of the 1997 IEEE International Conference on Intelligent Processing Systems, IEEE pp.635-639,1998.
[30]Chen Chao-tian, Liu Yong-qing. Stability of large-scale linear singular dynamical systems and its interconnecting parameters regions[J]. Journal of South University Technoloty (Natural Science),1996, Vol.24, NO.5,51-56.
[31]Chen Chao-tian. Robust stabilization of nonlinear large-scale time-varying systems [C]. Proceedings of the IEEE 2003 International Conference on Machine Learning and Cybernetics,496-501, November 02-05,2003, Xi'an, CHINA.
[32]Chen Chao-tian, Liu Yong-qing. Robust Stabilization of Uncertain Large-scale Control Systems[C].1997 IEEE International Conference on Intelligent Processing Systems. October 28-31. Beijing, China.630-634.
[33]Chen Chao-tian, Liu Yong-qing. Stability of large-scale nonlinear singulardynamical systems and its interconnecting parameters regions[J]. Advances in Modelling&Analysis C:Systems Analysis, Control&Design Simulation, CAD.1999, Vol.53, NO.1,39-47.
[34]Chen Chao-tian, Liu Yong-qing. Structural stability and its perturbation parameter region of singular linear system[J]. Advances in Modelling&Analysis C:Systems Analysis, Control & Design Simulation, CAD.1999, Vol.53, NO.1,28-38.
[35]A.N.Michel, R.K.Miller. Qualitative analysis of large-scale dynamical systems[M]. New York:Academic Press,1977.
[36]Dragoslav D.Siljak. Large-Scale Dynamic Systems[J]:Stability and Structure. New York: Elsevier North-Holland,1978.
[37]Ishihara J Y and Terra M H. On the Lyapunov Theorem for Singular Systems[J]. IEEE Transactions on Automatic Control,2002,Vol.47, No.11, pp,1926-1930.
[38]Kuzmina, L.K.Stability theory methods in singularly perturbed systems dynamics[J]. Proceedings of the Fourth International Conference on Dynamic Systems and Applications, Vol.4, pp,374-383,2003.
[39]Gang Hu, Ji-tao SUN. Stability Analysis for Singular Systems with Time-varying[J]. Journal of TongJi university, Vol.31, pp,483-485,2003.
[40]Gang Hu, Cenfeng Liu. Guaranteed cost control for uncertain discretr-time systems under controller gain perturbations[C]. IEEEWCICAHangZhou, China,2004(6).
[41]张庆灵,戴冠中.徐心和等.离散广义系统稳定性分析与控制的Lyapunov方法[J].自动化学报,1998,Vol.24,No.5,622-629.
[42]张庆灵,樊治平.广义系统的Riccati方程[J].东北大学学报,1997,Vol.18,No.2,191-195.
[43]滕毓发,张庆灵.不确定广义系统的镇定[J].系统工程与电子技术,2006,Vol.28,No.6,915-918.
[44]滕毓发,张庆灵,张明学,郝建忠.广义大系统的分散鲁棒镇定[J].东北大学学报(自然科学版),2008,Vol.29,No.2,178-184.
[45]王慕秋.稳定性参数区域之扩大[J].数学学报,1975,Vol.18,No.2,107-122.
[46]Yongfang XIE, Weihua GUI, Zhaohui JIANG. Decentralized robust H-infinity descriptor output feedback control for value-bounded uncertain descriptor large-scale systems [J]. Journal of Control Theory and Applications,2006, Vol.4, No.2,193-200.
[47]YANG Li, ZHANG Qing-Ling, LIU Guo-Yi, LIU Pei-Yong. Robust Impulse Dissipative Control of Singular Systems with Uncertainties [J]. Acta Automatica Sinica,2007, Vol.33, No.5, 554-556.
[48]王继春.广义系统的导数反馈控制[D].辽宁：东北大学,2006.
[49]沃松林.广义大系统的稳定性与分散控制[D].南京：南京理工大学,2004.
[50]夏小惠.一类广义大系统的稳定性及鲁捧稳定性分析[D].南京：南京理工大学,2005.
[51]龙少华.广义大系统的稳定性分析[D].湖南：湘潭大学,2007.
[52]赵剑川.广义大系统稳定性的判定条件与方法[D].广州：广东工业大学,2008.
[53]温香彩,刘永清.具有非线性关联的广义分散系统的镇定问题[J].控制与决策,1997,Vol.12, No.4,301-306.
[54]白俊霞,刘琦,张高民.连续广义大系统的稳定性与关联参数域[J].科学技术与工程,2009, Vol.9, No.23,7133-7137.
[55]刘琦.广义系统的稳定性与分散控制[D].华东：中国石油大学,2007.
[56]刘辉金.一类广义大系统鲁棒稳定性分析与容错控制[D].湖南：辽宁科技大学,2008.
[57]胡雅光.两类广义大系统的稳定与镇定研究[D].湖北：三峡大学,2009.
[58]Songlin Wo, Guodong Shi, Yun Zou. Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty [J]. Journal of Systems Engineering and Electronics,2007, Vol.18, No.1,111-119.
[59]Jianghua Zhong, Daizhan Cheng, Xiaoming Hu. Constructive stabilization for quadratic input nonlinear systems[J]. Automatica.2008, Vol.44, No.8,1996-2005.
[60]Shu-Jun Liu, Zhong-Ping Jiang, Zhong-Ping Jiang. Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems[J]. Automatica,2008, Vol.44, No.8,1944-1957.
[61]Yuanqing Xia, El-Kebir Boukas, Peng Shi, Jinhui Zhang. Stability and stabilization of continuous-time singular hybrid systems[J]. Automatica,2009, Vol.45, No.6,1504-1509.
[62]Weizhou Su, Minyue Fu. Robust stabilization of nonlinear cascaded systems. Automatica[J], 2006, Vol.42, No.4,645-651.
[63]Shu-Jun Liu, Ji-Feng Zhang, Zhong-Ping Jiang. Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems[J]. Automatica,2007, Vol.43, No.2, 238-251.
[64]Jing Zhou, Meng Joo Er. Adaptive output control of a class of uncertain chaotic systems[J]. Systems & Control Letters,2007, Vol.56, No.6,452-460.
[65]马合保,康会光.非线性广义系统的输入-状态稳定性[J].安徽大学学报,2009,Vol.33,No.2,9-11.
[66]王福忠,姚波.广义系统动态输出反馈控制设计的新方法[J].数学实践与认识,2008,Vol.38, No.23,182-187.
[67]刘建州,方庆霞,刘烨.基于电力系统的广义大系统的稳定性[J].湖南大学学报,2009,Vol.36, No.10,50-53.
[68]刘杰,刘建州.广义互联大系统的渐近稳定与分散镇定[J].计算技术与自动化,2008,Vol.27, No.2,6-9.
[69]石海彬,刘晓平,张嗣瀛.广义互联大系统的相似结构和鲁棒镇定[J].东北大学学报,2001, Vol.22, No.4,355-357.
[70]王松桂,杨振海.广义逆矩阵及其应用[M].北京：北京工业大学出版社,2006.
[71]廖晓听.稳定性的数学理论及应用(第二版)[M].武汉：华中师范大学出版社,2006.
[72]钱祥征,戴斌祥,刘开宇.非线性常微分方程理论方法应用[M].长沙：湖南大学出版社,2006.
[73]梁家荣,樊晓平.不确定广义系统的鲁棒稳定性[J].系统工程,2002,Vol.20,No.4,7-11.