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  1. No Access

    Article

    Distributed Solving Linear Algebraic Equations with Switched Fractional Order Dynamics

    This paper proposes a novel distributed optimization algorithm with fractional order dynamics to solve linear algebraic equations. Firstly, the authors proposed “Consensus + Projection” flow with fractional or...

    Wenqiang Yu, Songsong Cheng, Shu** He in Journal of Systems Science and Complexity (2023)

  2. No Access

    Article

    Event-Triggered Optimal Nonlinear Systems Control Based on State Observer and Neural Network

    This paper develops a novel event-triggered optimal control approach based on state observer and neural network (NN) for nonlinear continuous-time systems. Firstly, the authors propose an online algorithm with...

    Songsong Cheng, Haoyun Li, Yuchao Guo… in Journal of Systems Science and Complexity (2023)

  3. No Access

    Article

    A note on short memory principle of fractional calculus

    In this paper, from the classical short memory principle under Grünwald-Letnikov definition, several novel short memory principles are presented and investigated. On one hand, the classical principle is extend...

    Yiheng Wei, Yuquan Chen, Songsong Cheng… in Fractional Calculus and Applied Analysis (2017)

  4. No Access

    Article

    Fractional Order Systems Time-Optimal Control and Its Application

    This paper deals with the time-optimal control problem for a class of fractional order systems. An analytic solution of the time-optimal problem is proposed, and the optimal transfer route is provided. Conside...

    Yiheng Wei, Bin Du, Songsong Cheng… in Journal of Optimization Theory and Applica… (2017)

  5. No Access

    Article

    Completeness on the Stability Criterion of Fractional Order LTI Systems

    The importance of the concept of stability in fractional order system and control has been recognized for some time now. Recently, it has become evident that many conclusions were drawn, but little consensus w...

    Yiheng Wei, Yuquan Chen, Songsong Cheng… in Fractional Calculus and Applied Analysis (2017)

  6. No Access

    Article

    Group Update Method for Sparse Minimax Problems

    A group update algorithm is presented for solving minimax problems with a finite number of functions, whose Hessians are sparse. The method uses the gradient evaluations as efficiently as possible by updating ...

    Junxiang Li, Mingsong Cheng, Bo Yu… in Journal of Optimization Theory and Applica… (2015)

  7. No Access

    Article

    A new algorithm for pole assignment of single-input linear systems using state feedback

    In this paper we present a new algorithm for the single-input pole assignment problem using state feedback. This algorithm is based on the Schur decomposition of the closed-loop system matrix, and the numerica...

    Jiang Qian, Mingsong Cheng, Shufang Xu in Science in China Series A: Mathematics (2005)