The goal of the control process is to find the saddle point of the Lagrangian. We present a stability result for a class of dynamic processes for this problem.

Abstract. Many network control problems can be formulated and stud- ied using the machinery of optimisation theory and Lagrange duality. The.

Lyapunov convergence for Lagrangian models of network control. A strong and growing theme in the design and analysis of network control systems is to state ...

The Lyapunov conditions in (2) guarantee that starting from any state inside S, the state converges exponentially to the equilibrium state x∗, and S is a ...

We propose two new Lagrangian inner products that we use together with Eulerian and Lagrangian data to construct two new Lagrangian ROMs.

In this brief, based on a new Lyapunov function we analyze and prove the global convergence of the Lagrangian network. Simulation examples are provided to show ...

Method of Lyapunov-Lagrange functions for optimization of dynamic systems with information constraints · From the book World Congress of Nonlinear Analysts '92.

This paper develops a Lyapunov approach for studying convergence and stability of a class of differential inclusions termed differential variational ...

The Lyapunov function V is shown in Fig. 7. We simulate the synthesized controller with the original pendulum Lagrangian dynamics model (not the neural network.

Mar 11, 2024 · Lyapunov functions are common for analyzing continuous- time and discrete-time models in convex optimization. For example, convergence proofs ...