On characterizations of the input-to-state stability property
Systems & Control Letters
Time-varying feedback stabilization of the attitude of a rigid spacecraft with two controls
Systems & Control Letters
Tracking control of mobile robots: a case study in backstepping
Automatica (Journal of IFAC)
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Comments on integral variants of ISS
Systems & Control Letters
Robust stabilization of the angular velocity of a rigid body
Systems & Control Letters
Brief Input-to-state stability of PD-controlled robotic systems
Automatica (Journal of IFAC)
Brief Strict Lyapunov functions for time-varying systems
Automatica (Journal of IFAC)
Asymptotic tracking of a reference state for systems with a feedforward structure
Automatica (Journal of IFAC)
Stability of periodically time-varying systems: Periodic Lyapunov functions
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
We study the stability properties of a class of time-varying non-linear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our given Lyapunov functions which guarantee the existence of strict ISS Lyapunov functions for our systems. Next, we provide simple direct constructions of explicit strict ISS Lyapunov functions for our systems by applying an integral smoothing method. We illustrate our constructions using a tracking problem for a rotating rigid body.