Discrete Approximations of a Controlled Sweeping Process [PDF]
The paper is devoted to the study of a new class of optimal control problems governed by the classical Moreau sweeping process with the new feature that the polyhe- dral moving set is not fixed while controlled by time-dependent functions.
B. S., Mordukhovich +3 more
core +3 more sources
Non-Lipschitzian dynamics for neural net modelling
AbstractFailure of the Lipschitz condition in unstable equilibrium points of dynamical systems leads to a multiple-choice response to an initial deterministic input. The evolution of such systems is characterized by a special type of unpredictability measured by unbounded Lyapunov exponents.
M. Zak
openaire +2 more sources
Parameter estimation of two classes of nonlinear systems with non-separable nonlinear parameterizations [PDF]
In this paper we address the challenging problem of designing globally convergent estimators for the parameters of nonlinear systems containing a non-separable exponential nonlinearity. This class of terms appears in many practical applications, and none
R. Ortega +3 more
semanticscholar +1 more source
On finite-time stability and stabilization of nonlinear hybrid dynamical systems
: Finite time stability involving dynamical systems whose trajectories converge to a Lyapunov stable equilibrium state in finite time have been studied for both continuous-time and discrete-time systems. For continuous-time systems, finite time stability
Junsoo Lee, W. Haddad
semanticscholar +1 more source
Numerical Picard Iteration Methods for Simulation of Non-Lipschitz Stochastic Differential Equations
In this paper, we present splitting approaches for stochastic/deterministic coupled differential equations, which play an important role in many applications for modelling stochastic phenomena, e.g., finance, dynamics in physical applications, population
J. Geiser
semanticscholar +1 more source
Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems
This paper focuses on the problem of finite-time stabilization of homogeneous, non-Lipschitz systems with dilations. A key contribution of this paper is the design of a virtual recursive Hölder, non-Lipschitz state feedback, which renders the non ...
Nawel Khelil, Martin J.-D. Otis
doaj +1 more source
Influence of the Rosenzweig functional response on the dynamics of the Leslie-Gower model
After the well-known classification formulated by Crawford S. Holling in 1959 of the functional responses dependent only of the prey populations, various other have been proposed.
E. González‐Olivares +3 more
semanticscholar +1 more source
On infinitely cohomologous to zero observables [PDF]
We show that for a large class of piecewise expanding maps T, the bounded p-variation observables u_0 that admits an infinite sequence of bounded p-variation observables u_i satisfying u_i(x)= u_{i+1}(Tx) -u_{i+1}(x) are constant. The method of the proof
de Lima, Amanda, Smania, Daniel
core +4 more sources
A robust optimization approach for magnetic spacecraft attitude stabilization [PDF]
Attitude stabilization of spacecraft using magnetorquers can be achieved by a proportional–derivative-like control algorithm. The gains of this algorithm are usually determined by using a trial-and-error approach within the large search space of the ...
Bruni, Renato, Celani, Fabio
core +1 more source
Propagation of singularities for weak KAM solutions and barrier functions [PDF]
This paper studies the structure of the singular set (points of nondifferentiability) of viscosity solutions to Hamilton-Jacobi equations associated with general mechanical systems on the n-torus.
Cannarsa, Piermarco +2 more
core +1 more source

