8 papers
A Lyapunov-Based Small-Gain Theorem for Fixed-Time ISS: Theory, Optimization, and Games
Michael Tang, Miroslav Krstic, Jorge Poveda
We develop a Lyapunov-based small-gain theorem for establishing fixed-time input-to-state stability (FxT-ISS) guarantees in interconnected nonlinear dynamical systems. The proposed…
A Lyapunov-Based Small-Gain Theorem for Fixed-Time Stability
Michael Tang, Miroslav Krstic, Jorge Poveda
This paper introduces a novel Lyapunov-based small-gain methodology for establishing fixed-time stability (FxTS) guarantees in interconnected dynamical systems. Specifically, we co…
Fixed-Time Input-to-State Stability for Singularly Perturbed Systems via Composite Lyapunov Functions
Michael Tang, Miroslav Krstic, Jorge Poveda
We study singularly perturbed systems that exhibit input-to-state stability (ISS) with fixed-time properties in the presence of bounded disturbances. In these systems, solutions co…
Prescribed-Time Newton Extremum Seeking using Delays and Time-Periodic Gains
Nicolas Espitia, Jorge I. Poveda, Miroslav Krstic
We study prescribed-time extremum seeking (PT-ES) for scalar maps in the presence of time delays. The PT-ES problem has been studied by Yilmaz and Krstic in 2023 using chirpy probi…
On Fixed-Time Stability for a Class of Singularly Perturbed Systems using Composite Lyapunov Functions
Michael Tang, Miroslav Krstic, Jorge Poveda
Fixed-time stable dynamical systems are capable of achieving exact convergence to an equilibrium point within a fixed time that is independent of the initial conditions of the syst…
Deception in Oligopoly Games via Adaptive Nash Seeking Systems
Michael Tang, Miroslav Krstic, Jorge Poveda
In the theory of multi-agent systems, deception refers to the strategic manipulation of information to influence the behavior of other agents, ultimately altering the long-term dyn…