Now showing items 1-4 of 4

  • A general linear systems theory on time scales: transforms, stability, and control. 

    Jackson, Billy, 1978- (2007-12-03)
    In this work, we examine linear systems theory in the arbitrary time scale setting by considering Laplace transforms, stability, controllability, and realizability. In particular, we revisit the definition of the Laplace ...
  • Quadratic Lyapunov theory for dynamic linear switched systems. 

    Eisenbarth, Geoffrey B. (, 2014-01-28)
    In this work, a special class of time-varying linear systems in the arbitrary time scale setting is examined by considering the qualitative properties of their solutions. Building on the work of J. DaCunha and A. Ramos, ...
  • Stability and control on stochastic time scales. 

    Poulsen, Dylan Richard. 1987- (2015-04-02)
    We develop the stability theory for two classes of dynamic equations evolving on a time domain that is non-uniform and stochastic. In particular, we examine the mean-square exponential stability and almost sure exponential ...
  • Stability of hybrid dynamic systems : analysis and design. 

    Ramos, Alice A. (2009-08-25)
    In this work, the stability of switched linear hybrid dynamic systems is investigated and analyzed. Building on the work of DaCunha [10, 11], a unified and extended version of Lyapunov's Second (Direct) Method is developed ...