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【期刊论文】The Analysis of Zero Dynamics of Nonlinear Control Systems with Symmetries
赵军, Jun Zhao
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 45, NO. 2, FEBRUARY 2000,-0001,():
-1年11月30日
Zero dynamics of nonlinear control systems with symmetries are studied in this paper. It is shown that the zero dynamics of a symmetric system is also symmetric and admits a special form of cascade decomposition. A local zero dynamics is always possible to be extended to the semiglobal case. The relation between the zero dynamics and the quotient system is also discussed.
Lie group,, nonlinear systems,, symmetries,, zero dynamics.,
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赵军, 孙洪飞
自动化学报,2003,29(1):149~153,-0001,():
-1年11月30日
首次提出切换组合系统的概念,给出了使此系统渐近稳定的分散切换控制律的设计,研究了带有连续控制量的组合大系统采用分散混杂状态反馈稳定化问题。
切换,, 组合系统,, 分散切换律,, 分散混杂反馈
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赵军, 聂宏
自动化学报,2003,29(2):596~600,-0001,():
-1年11月30日
研究了切换系统输入对状态的稳定性。在所有子系统都是输入对状态稳定的条件下,利用各子系统的KL函数和K函数构造出切换系统所需的KL 函数和K函数,从而给出了切换系统输入对状态稳定的充分条件。对于一类常见的切换系统,计算出保证输入对状态稳定性的切换停留时间的下界。所有结果都是构造性的。
输入对状态的稳定性,, Lyapunov稳定性,, 切换系统,, 停留时间
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【期刊论文】STABILITY OF LINEAR SYSTEMS WITH SIMILAR STRUCTURE
赵军, Jun Zhao, Yuanwei Jing and Siying Zhang
,-0001,():
-1年11月30日
A concept of similar structure for linear control systems is defined in this paper. Under the assumption that a Lyapunov function of a system is available, we present a method calculating Lyapunov functions of a family of systems possessing similar structure without solving Lyapunov equations.
Stability,, Similar structure,, Linear systems.,
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【期刊论文】Quadratic Stability of a Class of Switched Nonlinear Systems
赵军, Jun Zhao and Geor gi M. Dimirovski
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 49, NO. 4, APRIL 2004,-0001,():
-1年11月30日
Quadratic stability of a class of switched nonlinear systems is studied in this note. We first transform quadratic stability problem into an equivalent nonlinear programming problem. Then, we derive a necessary and sufficient condition for quadratic stability of this class of switched systems by using Karush-Kuhn-Tucker condition for nonlinear programming problems. The necessary and sufficient condition is given in terms of the strict completeness of a certain set of functions on a subset of the state space, which is much easier to check.
Completeness,, Karush-Kuhn-Tucker (, KKT), condition,, quadratic stability,, switched systems.,
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