Finite-time boundedness and H∞ finite-time boundedness of switched linear systems with time-varying delay and exogenous disturbances are addressed. Based on average dwell time (ADT) and free-weight matrix technologies, sufficient conditions which can ensure finite-time boundedness and H∞ finite-time boundedness are given. And then in virtue of the results on finite-time boundedness, the state m...

We prove several decidability and undecidability results for ν-PN, an extension of P/T nets with pure name creation and name management. We give a simple proof of undecidability of reachability, by reducing reachability in nets with inhibitor arcs to it. Thus, the expressive power of ν-PN strictly surpasses that of P/T nets. We prove that ν-PN are Well Structured Transition Systems. In particul...

0. Introduction 1 1. Standard definitions 3 2. Examples 4 3. Some methods for proving boundedness 8 4. Additional definitions and easy technical results 9 5. The diagram method 10 6. Boundedness for surfaces with nef −(K+B) 14 7. Boundedness for surfaces with big and nef K +B 18 8. Descending Chain Condition 23 9. Boundedness for the constant (K +B)2 27 10. On log MMP for surfaces 28 11. Conclu...

In this letter, we consider the ultimate boundedness of the singularly perturbed system with measurement noise. The composite controller is commonly used to regulate the singularly perturbed system. However, in the presence of measurement noise, the composite controller does not guarantee the ultimate boundedness of the singularly perturbed system. Thus, we propose the modified composite contro...

in this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $e=(bar{x}, bar{y})$ of the system of two difference equations of exponential form: begin{equation*} x_{n+1}=dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{-(by_n+cx_n)}}{d+...

A Liapunov theorem is introduced guaranteeing uniform boundedness and uniform ultimate boundedness for a timevarying nonlinear system _ x(t) = f(x(t); t). The study of uniform boundedness and uniform ultimate boundedness of particular classes of time-varying nonlinear systems _ x(t) = f(x(t); t) is reduced to the study of the corresponding timeinvariant frozen systems _ x(t) = f(x(t); ) for all...

in this paper boundedness and compactness of generalized composition oper-ators from logarithmic bloch type spaces to q_k type spaces are investigated.