一、研究所简介

复杂系统理论是系统科学中一个极具研究价值、应用广泛且富有挑战性的前沿方向，主要揭示复杂系统的一些难以用现有科学方法解释的动力学行为，被称为21世纪的科学。复杂系统分析与控制研究所现有研究人员11人，其中教授3人，副教授4人，讲师5人。研究所主要致力于复杂系统的定性分析和控制研究，特别是针对切换系统、多智能体系统、混沌系统和奇异系统等开展了卓有成效的科学研究，取得了丰富的研究成果。先后在SCI收录期刊上发表论文100余篇，承担国家自然科学基金面上项目4项，青年项目3项，山东省杰出青年基金项目1项，项目总经费超过300万，获得山东省自然科学二等奖和三等奖各一项，获得山东省高校优秀科研成果奖多项。

二、研究所负责人简介

孙元功，男，1975年4月出生，北京大学博士，山东省数学会理事，2011年度山东省杰出青年基金获得者，2014-2016连续三年入选Elsevier中国高被引学者。近年来，一直专注于控制与数学的交叉理论研究，在复杂系统分析和控制以及微分方程定性理论研究领域开展了广泛而深入的科学研究工作，取得了一系列创新性研究成果，研究成果得到国内外广泛引用。到目前为止，以第一作者和通讯作者在SCI收录期刊上发表论文80余篇，单篇论文最高引用次数超过200次。主持国家自然科学基金青年基金、国家自然科学基金面上项目、山东省杰出青年基金项目和山东省自然科学基金项目6项，参与国家自然科学基金项目多项。获得山东省自然科学奖二等奖和三等奖各一项（第三），山东省高校优秀科研成果奖多项。

三、研究所成员情况

四、研究所主要研究方向

1.切换系统稳定性

2.多智能体系统一致性

3.非线性系统稳定域

4.奇异系统稳定性

5.混沌系统同步控制

五、承担科研项目与获奖

六、代表性科研论文

[1]Yuangong Sun, Stabilization of switched systems with nonlinear impulse effects and disturbances, IEEE Transactions on Automatic Control 56 (2011) 2739-2743.

[2]Yuangong Sun, Average consensus in networks of dynamic agents with uncertain topologies and time-varying delays, Journal of the Franklin Institute 349 (2012) 1061-1073.

[3]Yuangong Sun, Jie Qi, Note on exponential stability of certain nonlinear differential systems with time-varying delays, Applied Mathematics Letters 25 (2012) 2240-2245.

[4]Yuangong Sun, On simple stability criteria for nonlinear neutral systems with multiple time delays, Applied Mathematics Letters 25 (2012) 1911-1915.

[5]Yuangong Sun, Long Wang, H∞ consensus of second-order multi-agent systems with asymmetric delays, Systems & Control Letters 61 (2012) 857-862.

[6]Zhaorong Wu, Yuangong Sun, On easily verifiable conditions for the existence of common linear copositive Lyapunov functions,IEEE Transactions on Automatic Control, vol. 58, pp 1862-1865, 2013 . (JCR二区)

[7]Yuangong Sun, Long Wang, On stability of a class of switched nonlinear systems,Automatica, vol. 49, pp. 305-307, 2013.

[8]Yuangong Sun, Stability analysis of flocking for multi-agent dynamic systems,Nonlinear Analysis: Real World and Applications, vol. 14, pp. 1075-1081, 2013.

[9]Yuangong Sun, Zhaorong Wu, On the existence of linear copositive Lyapunov functions for 3-dimensional switched positive linear systems,Journal of the Franklin Institute, vol. 350, pp. 1379-1387, 2013.

[10] Jie Qi,Yuangong Sun, Global exponential stability of certain switched systems with time-varying delays,Applied Mathematics Letters, vol. 26, pp. 760-765, 2013. (JCR二区)

[11] Zhaorong Wu,Yuangong Sun, Common joint linear copositive Lyapunov functions for positive switched systems,Journal of the Franklin Institute351 (2014) 2504-2514.

[12] Yazhou Tian, Yuanli Cai, Yuangong Sun, Asymptotic behavior of switched delay systems with nonlinear disturbances,Applied Mathematics and Computation268 (2015) 522-533.

[13] Yuangong Sun, Stability analysis of positive switched systems via joint linear copositive Lyapunov functions,Nonlinear Analysis: Hybrid Systems19 (2016) 146-152.

[14] Yongxiang Zhang, Guanwei Luo, Qingjie Cao, Mei Lin, Wada basin dynamics of a shallow arch oscillator with more than 20 coexisting low-period periodic attractors,International Journal of Non-linear Mechanics,58(2014)151-161.

[15] Yongxiang Zhang，Strange nonchaotic attractors with Wada basins，Physica D259(2013) 26-36.

[16] Yongxiang Zhang，Guanwei Luo，Torus-doubling bifurcations and strange nonchaotic attractors in a vibro-impact system，Journal of Sound and Vibration 332(2013) 5462-5475.

[17] Yongxiang Zhang, Guanwei Luo, Unpredictability of the Wada property in the parameter plane，Physics Letters A376 (2012)3060-3066.

[18] Yongxiang Zhang, Guanwei Luo, A special type of codimension two bifurcation and unusual dynamics in a phase-modulated system with switched strategy,Nonlinear Dynamics67 (2012) 2727-2734.

[19]Liying Sun, Yuzhen Wang, An undecomposed approach to control design for a class of nonlinear descriptor systems,Int. J. Robust. Nonlinear Control 23 (2013) 695–708.

[20] Liying Sun, Gang Feng, Yuzhen Wang,Finite-time stabilization and H-infinity control for a class of nonlinear Hamiltonian descriptor systems with application to affine nonlinear descriptor systems, Automatica 50 (2014) 2090-2097.

[21]Liying Sun, Yuzhen Wang, Gang Feng,Control design for a class of affine nonlinear descriptor systems with actuator saturation,IEEE Transactions on Automatic Control60 (2015) 2195-2200.

[22]Jian Liu, Shutang Liu, Chunhua Yuan, Adaptive complex modified projective synchronization of complex chaotic (hyperchaotic) systems with uncertain complex parameters,Nonlinear Dynamics, 79 (2015) 1035-1047.

[23] Jian Liu, Shutang Liu, Julien Clinton Sprott, Adaptive complex modified hybrid function projective synchronization of different dimensional complex chaos with uncertain complex parameters，Nonlinear Dynamics83 (2016) 1109-1121.

[24] Jian Liu, Complex modified hybrid projective synchronization of different dimensional fractional-order complex chaos and real hyper-chaos,Entropy16 (2014) 6195-6211.

[25] Shaoli Jin, Yungang Liu,Global practical tracking via adaptive output-feedback for uncertain nonlinear systems with generalized control coefficients,Science China Information Sciences59 (2016) 1-13.

[26] Shaoli Jin, Yungang Liu, Fengzhong Li, Further results on global practical tracking via adaptive output-feedback for uncertain nonlinear systems,International Journal of Control89 (2016) 368-379.

[27] Shaoli Jin, Yungang Liu, Yongchao Man, Global output-feedback stabilization for stochastic nonlinear systems with function control coefficients,Asian Journal of Control18 (2016) 1-11.