This article proposes two novel passivity-based control design frameworks for hybrid nonlinear dynamical systems involving an interacting mixture of continuous-time and discrete-time dynamics whose properties evolve periodically over time. By deriving the Kalman–Yakubovich–Popov (KYP) conditions characterizing dissipativeness time-dependent systems, a computational algorithm, which alternates b...

This article presents a fuzzy robust Mixed - Sensitivity Gain - Scheduled H controller based on the Loop -Shaping methodology for a class of MIMO uncertain nonlinear Time - Varying systems. In order to design this controller, the nonlinear parameter - dependent plant is first modeled as a set of linear subsystems by Takagi and Sugeno’s (T - S) fuzzy approach. Both Loop - Shaping methodology and...

Stability properties (uniform stability/uniform asymptotic stability) of nonlinear time-varying systems are explored using positive semi-definite time-varying Lyapunov candidates whose derivative along trajectories is either non-positive or negative semi-definite. Once these positive semi-definite time-varying Lyapunov candidates are available, conditional stability properties on some specific ...