A Krasovskii-LaSalle theorem for behavior: Output persistent excitation and detectability

@article{Lee2011AKT,
  title={A Krasovskii-LaSalle theorem for behavior: Output persistent excitation and detectability},
  author={T. Lee},
  journal={2011 19th Mediterranean Conference on Control & Automation (MED)},
  year={2011},
  pages={61-66}
}
  • T. Lee
  • Published 2011
  • Mathematics
  • 2011 19th Mediterranean Conference on Control & Automation (MED)
  • This paper studies stability properties for those systems modeled as behaviors that roughly speaking, describe systems using the view-point of signals. Popular examples include of continuous-time systems, discrete-time systems, switched systems, hybrid systems and time-delay systems. By introducing the output persistently exciting (for short, OPE) condition, a general result regarding the OPE conditions of two behaviors is proposed. An output zeroing system and a detectability condition are… CONTINUE READING
    1 Citations
    Stability and Persistent Excitation in Signal Sets
    • 22

    References

    SHOWING 1-10 OF 24 REFERENCES
    A Generalization of Krasovskii-LaSalle Theorem for Nonlinear Time-Varying Systems: Converse Results and Applications
    • T. Lee, Z. Jiang
    • Mathematics, Computer Science
    • IEEE Trans. Autom. Control.
    • 2005
    • 61
    • PDF
    Uniform Asymptotic Stability of Nonlinear Switched Systems With an Application to Mobile Robots
    • T. Lee, Z. Jiang
    • Mathematics, Computer Science
    • IEEE Transactions on Automatic Control
    • 2008
    • 151
    • Highly Influential
    On Uniform Global Asymptotic Stability of Nonlinear Discrete-Time Systems With Applications
    • T. Lee, Z. Jiang
    • Computer Science, Mathematics
    • IEEE Transactions on Automatic Control
    • 2006
    • 29
    • Highly Influential
    • PDF
    Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability
    • 274
    • PDF
    Uniform stability of switched linear systems: extensions of LaSalle's Invariance Principle
    • J. Hespanha
    • Mathematics, Computer Science
    • IEEE Transactions on Automatic Control
    • 2004
    • 694
    • PDF
    Relaxed persistency of excitation for uniform asymptotic stability
    • 189
    NEW RESULTS IN LINEAR SYSTEM STABILITY
    • 98
    Some Extensions of Liapunov's Second Method
    • 704
    • PDF
    Paradigms and puzzles in the theory of dynamical systems
    • 1,227
    • PDF
    On the Uniform Asymptotic Stability of Certain Linear Nonautonomous Differential Equations
    • 166