We study path-complete Lyapunov functions, which are stability criteria for switched systems, described by a combinatorial component (namely, an automaton), and functional (a set of candidate called the template). introduce class based on what we call memory-based generalize several techniques in literature. Our main result is equivalence result: any function equivalent to function, however def...

Abstract The problem of input-to-state stability (ISS) and its integral version (iISS) are considered for switched nonlinear systems with inputs, resets possibly unstable subsystems. For the dissipation inequalities associated Lyapunov function each subsystem, it is assumed that supply functions, which characterize decay rate ISS/iISS gains subsystems, nonlinear. change in value functions at sw...

We present a new data-driven method to provide probabilistic stability guarantees for black-box switched linear systems. By sampling finite number of observations trajectories, we construct approximate Lyapunov functions and deduce the underlying system with user-defined confidence. The required attain this confidence level on guarantee is explicitly characterized. Our contribution twofold: fir...

Light-Emitting Diode (LED) optical wireless communication is a potentially low-cost, sustainable approach for enabling high-speed free-space and underwater transmissions within limited range. Establishing tightly controlled line of sight (LOS) between transmitter receiver significant challenge because the angle alignment not directly measured has to be estimated. To address this problem, we pro...

This article concerns robustness analysis for interconnections of two dynamical systems (described by upper semicontinuous differential inclusions) using a generalized notion derivatives associated with locally Lipschitz Lyapunov functions obtained from finite family differentiable functions. We first provide sufficient conditions input-to-state stability inclusions, class nonsmooth (but Lipsch...

This paper focuses on the problem of mixedH2/H∞ output tracking control for uncertain discrete-time switched systems with state time-delay. By using single Lyapunov function theory, a state feedback controller is presented to guarantee the closed-loop error system robust asymptotically stable with mixedH2/H∞ performance is developed. The controller gains are obtained by a set of linear matrix i...

Consideration of the effects of the mounting structure stiffness on electrohydraulic servomechanisms actuating primary flight controls yields a switched control system of seven nonlinear differential equations. The stabilizing control synthesis has to cope with the critical case of a zero eigenvalue of the Jacobian matrices calculated in equilibria. By local coordinates transformations, the swi...