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您的检索式：作者名="Simona TAMASOIU"
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| 1 | Feedback Stabilization for a Scalar Conservation Law with PID Boundary Control显示文摘This paper deals with a scalar conservation law in 1-D space dimension, and in particular, the focus is on the stability analysis for such an equation. The problem of feedback stabilization under proportional-integral-derivative(PID for short) boundary control is addressed. In the proportional-integral(PI for short) controller case, by spectral analysis, the authors provide a complete characterization of the set of stabilizing feedback parameters, and determine the corresponding time delay stability interval. Moreover, the stability of the equilibrium is discussed by Lyapunov function techniques, and by this approach the exponential stability when a damping term is added to the classical PI controller scheme is proved. Also, based on Pontryagin results on stability for quasipolynomials, it is shown that the closed-loop system sub ject to PID control is always unstable. | Jean Michel CORON Simona Oana TAMASOIU | 2015 | Chinese Annals of Mathematics,Series B2015，36，5： | 2 |
| 2 | H^2-Stabilization of the Isothermal Euler Equations: a Lyapunov Function Approach显示文摘The authors consider the problem of boundary feedback stabilization of the 1D Euler gas dynamics locally around stationary states and prove the exponential stability with respect to the H^2-norm. To this end, an explicit Lyapunov function as a weighted and squared H^2-norm of a small perturbation of the stationary solution is constructed. The authors show that by a suitable choice of the boundary feedback conditions, the H^2-exponential stability of the stationary solution follows. Due to this fact, the system is stabilized over an infinite time interval. Furthermore, exponential estimates for the C^1-norm are derived. | Martin GUGAT Günter LEUGERING Simona TAMASOIU | 2012 | Chinese Annals of Mathematics,Series B2012，33，4： | 0 |
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