Yu-Ping Tian

Southeast University (China), Nan-ching-hsü, Jiangxi Sheng, China

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Publications (52)55.01 Total impact

  • Jiandong Zhu, Yu-Ping Tian
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    ABSTRACT: In this paper, the stabilizability problem via a generalized delayed feedback control (GDFC) for uncontrollable discrete systems is addressed. For single-input uncontrollable systems, a necessary and sufficient condition of stabilizability via the GDFC is obtained, which completely describes the limitation of the GDFC. For multi-input systems, a new necessary condition is derived, which reveals the limitation of the GDFC more exactly than the odd number limitation. Moreover, for a class of nonlinear systems with uncertain parameters, a nonlinear robust GDFC is designed for the first time to stabilize the unknown fixed points associated with the uncertain parameters.
    Physica D Nonlinear Phenomena 01/2008; 237(19):2436-2443. · 1.67 Impact Factor
  • Yu-Ping Tian, Ke‐Cai Cao
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    ABSTRACT: In this paper, the authors address the tracking problem for non-holonomic systems in chained form with target signals that may exponentially decay to zero. By introducing a time-varying co-ordinate transformation and using the cascade-design approach, smooth time-varying controllers are constructed, which render the tracking-error dynamics globally -exponentially stable. The result shows that the popular condition of persistent excitation or not converging to zero for the reference signals is not necessary even for the globally -exponential tracking of the chained-form system. The effectiveness of the proposed controller is validated by simulation of two benchmark mechanical systems under non-holonomic constraints. Copyright © 2006 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 11/2006; 17(7):631 - 647. · 1.90 Impact Factor
  • Jiandong Zhu, Yu-Ping Tian
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    ABSTRACT: In this paper, a simple nonlinear recursive delayed feedback controller is designed for stabilizing periodic solutions of a nonlinear system. The proposed controller is constructively designed and does not inherit the odd number limitation. The stability of the periodic solution of the closed-loop system is proved rigorously. Applying the control method to chaotic systems, one can effectively control chaos.
    Circuits and Systems II: Express Briefs, IEEE Transactions on 01/2006; · 1.33 Impact Factor
  • Jiandong Zhu, Yu-Ping Tian
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    ABSTRACT: In this paper, the pole placement and stabilization for a class of single-input uncertain discrete systems with unknown equilibrium points is investigated. The pole-placement capability of recursive delayed feedback control is completely described. The stabilization problem is resolved by the proposed pole placement technique. Two examples show the effectiveness of the proposed method in stabilizing uncertain equilibrium points or equilibrium sets
    01/2006;
  • Jiandong Zhu, Yu-Ping Tian
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    ABSTRACT: In this paper, the pole placement problem for a class of single-input discrete systems with unknown equilibrium points is investigated. The problem is completely resolved by developing a recursive delayed feedback control method. Two examples show the effectiveness of the proposed method in stabilizing uncertain equilibrium points or equilibrium sets
    01/2006;
  • Yu-Ping Tian
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    ABSTRACT: This paper addresses the problem of the stability of congestion control for networks with heterogeneous round-trip communication delays. We present a frequency-domain approach to this problem. The approach is based on the analysis of the clockwise property of system transfer functions, generalized Nyquist stability criterion, and a recent lemma of Vinnicombe. We point out that a prerequisite for establishing decentralized stability criteria for distributed congestion control is that the Nyquist plots of time-delayed transfer functions corresponding to price (rate) dynamics at links (sources) satisfy clockwise property in certain frequency intervals. Based on the detailed investigation of global geometric properties of the frequency response of price dynamics at links, we derive sufficient conditions for the local asymptotic stability of a kind of the second-order active queue management algorithm-REM algorithm. A simple design procedure is also proposed for guaranteeing the asymptotic stability of the control algorithm.
    IEEE/ACM Transactions on Networking 11/2005; · 2.01 Impact Factor
  • Source
    Hong-Yong Yang, Yu-Ping Tian
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    ABSTRACT: The purpose of this paper is to study bifurcation of an Internet congestion control algorithm, namely REM (Random Exponential Marking) algorithm, with communication delay. By choosing the delay constant as a bifurcation parameter, we prove that REM algorithm exhibits Hopf bifurcation. The formulas for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are obtained by applying the center manifold theorem and the normal form theory. Finally, a numerical simulation is present to verify the theoretical results.
    Chaos Solitons & Fractals 01/2005; · 1.25 Impact Factor
  • Yu-Ping Tian
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    ABSTRACT: A unified duality model is proposed for describing the current Internet congestion control algorithms. Based on this model, the problem of the local asymptotic stability of the congestion control with heterogeneous propagation delays is formulated and solved. A general stability criterion is proved by using the stability theory for quasi-polynomials.
    Automatica. 01/2005;
  • Yu-Ping Tian
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    ABSTRACT: In this Letter, the problem of controlling chaos in switched arrival systems is considered. Poincaré section and Poincaré mapping are introduced for defining periodic orbits of this hybrid system. A delayed impulsive feedback method is proposed for stabilizing unstable long periodic orbits embedded in the chaotic attractor. The method does not rely on a priori knowledge of the position of the orbit to be stabilized. The convergence of the proposed control algorithm is proved.
    Physics Letters A 01/2005; · 1.77 Impact Factor
  • Shihua Li, Xiangze Lin, Yu-Ping Tian
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    ABSTRACT: In this paper, by using a piece-wise linear feedback controller, we propose an approach to globally stabilize the closed loop Chua’s circuit at an invariant set which consists of its equilibria. Moreover, we show that the closed loop Chua’s circuit satisfies set stability. This method can also be extended to a general class of Chua’s circuits such as Chua’s circuit with cubic non-linearity. Simulation results are presented to verify our method.
    Chaos Solitons & Fractals 01/2005; 26(2):571-579. · 1.25 Impact Factor
  • Jiandong Zhu, Yu-Ping Tian
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    ABSTRACT: In this Letter, the stabilizability problem for single-input chaotic discrete-time systems under delayed feedback control (DFC) is completely solved. Necessary and sufficient conditions for stabilizability via DFC are obtained, which reveal the limitation of DFC more exactly than the odd number limitation. A nonlinear DFC is analytically designed for stabilizing a class of discrete-time systems at an unknown fixed point.
    Physics Letters A 01/2005; 343:95-107. · 1.77 Impact Factor
  • Jiandong Zhu, Yu-Ping Tian
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    ABSTRACT: In this paper, a canonical form for non-square linear descriptor systems is given. A new transformation of system equivalence is proposed and a uniform algorithm for computing the canonical form is given. Under the canonical form, the admissible initial value set is easily found and control problem can be considered.
    Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on; 07/2004
  • Yu-Ping Tian, Hong-Yong Yang
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    ABSTRACT: Based on the clockwise property of parameterized curves and the general Nyquist criterion of stability, a conjecture on the stability of the Internet distributed congestion control algorithm with diverse propagation delays is proved. A more general stability criterion is also provided. The new criterion preserves the elegancy of the conjecture being decentralized and locally implemented. Each end system needs knowledge of its own round-trip delay, but enlarges the stability region of control gains and admissible communication delays.
    Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on; 07/2004
  • Yu-Ping Tian, Xinghuo Yu
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    ABSTRACT: The chapter presents a time-delayed impulsive feedback approach for the stabilization of periodic orbits in hybrid chaotic systems. A rigorous stability analysis of the proposed method is given. By using the proposed time-delayed impulsive feedback method, we consider two special applications. One application is detecting periodic orbits in a special class of hybrid system, a switched arrival system, which is a prototype model of many manufacturing and computer systems where large amount of work is processed at a unit time. The other application considers the stabilization of periodic orbits of chaotic piecewise affine systems, in particular, Chuas circuit, which is another important class of chaotic hybrid systems. Simulations are presented to show the effectiveness of the approach proposed.
    01/2004: pages 51-69;
  • Yu-Ping Tian, Hong-Yong Yang
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    ABSTRACT: Based on the clockwise property of parameterized curves and the general Nyquist criterion of stability, a conjecture on the stability of the Internet congestion control algorithm with diverse propagation delays is proved. A more general stability criterion is also provided. The new criterion preserves the elegancy of the conjecture being decentralized and locally implemented: each end system needs knowledge only of its own round-trip delay, but enlarges the stability region of control gains and admissible communication delays.
    Automatica 01/2004; · 2.92 Impact Factor
  • Yu-Ping Tian, Xinghuo Yu, Leon O. Chua
    International Journal of Bifurcation and Chaos 01/2004; 14:1091-1104. · 0.92 Impact Factor
  • Yu-Ping Tian, Jiandong Zhu
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    ABSTRACT: In this paper, the stabilizability problem for chaotic discrete-time systems under the generalized delayed feedback control (GDFC) is addressed. It is proved that 0
    Physica D Nonlinear Phenomena 01/2004; 198(3):248-257. · 1.67 Impact Factor
  • Jiandong Zhu, Yu-Ping Tian, Zhaolin Cheng
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    ABSTRACT: In this paper, the admissible initial value set and dynamic feedback control of nonlinear differential-algebraic systems are considered. An algorithm to calculate the admissible initial value set is given. Based on the algorithm, the differential-algebraic system can be transformed to a standard state space system constrained in an invariant set. If the standard state space system constrained in the invariant set can be stabilized then the original differential-algebraic system can be stabilized by a dynamic feedback controller.
    Physics Procedia. 01/2004;
  • Shihua Li, Yu-Ping Tian
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    ABSTRACT: Using finite time control techniques, continuous state feedback control laws are developed to solve the synchronization problem of two chaotic systems. We demonstrate that these two chaotic systems can be synchronized in finite time. Examples of Duffing systems, Lorenz systems are presented to verify our method.
    Chaos Solitons & Fractals 01/2003; 15(2):303-310. · 1.25 Impact Factor
  • Shihua Li, Yu-Ping Tian
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    ABSTRACT: In this paper, by using feedback linearizing technique, we show that a coupled dynamo system can be considered as a cascade system. Moreover, this system satisfies the assumptions of global stabilization of cascade systems. Thus two kinds of continuous state feedback control laws are proposed to globally stabilize the coupled dynamo system to the equilibrium points. Simulation results are presented to verify our method.
    Chaos Solitons & Fractals 01/2003; 16(5):787-793. · 1.25 Impact Factor

Publication Stats

559 Citations
55.01 Total Impact Points

Institutions

  • 2000–2013
    • Southeast University (China)
      Nan-ching-hsü, Jiangxi Sheng, China
    • Central Queensland University
      Rockhampton, Queensland, Australia
  • 2006
    • Nanjing Normal University
      • School of Mathematical & Computer Science
      Nanjing, Jiangsu Sheng, China