...Bidhayak Goswami; Anindya Chatterjee We consider linear time-invariant dynamic systems in the single-input, single-output (SISO) framework. In particular, we consider stabilization of an inverted pendulum on a cart using a force on the cart. This system is easy to stabilize with pendulum angle...

... with an in-domain nonlinearity is considered first. For this system a nonlinear feedback law, based on gain scheduling, is derived explicitly, and a proof of local exponential stability, with an estimate of the region of attraction, is presented for the closed-loop system. Control designs (without proofs...

...Jun-Wei Wang; Huai-Ning Wu; Yue-Sheng Luo This paper studies the problem of robustly stochastic stability and stabilization for a class of uncertain Markov jump linear systems with time delay. A new stochastic Lyapunov–Krasovskii functional (LKF) is constructed for the stability analysis...

...Chih-Peng Huang This paper mainly proposes distinct criteria for the stability analysis and stabilization of linear uncertain systems with time-varying delays. Based on the Lyapunov theorem, a sufficient condition of the unforced systems with single time-varying delay is first derived. By involving...

... December 2000 23 07 2002 mechanical engineering mechanical stability vibrations Screw Jack Eigenvalue Analysis Stabilization Self-Excited Vibrations The authors’ interest in the vibration of screw jacks was sparked by a practical problem encountered during the operation...