Results 41 to 50 of about 73,929 (126)

Computation of local ISS Lyapunov functions via linear programming [PDF]

, 2014
In this paper, we present a numerical algorithm for computing a local ISS Lyapunov function for systems which are locally input-to-state stable (ISS) on compact subsets of the state space. The algorithm relies on a linear programming problem and computes
Baier, Robert, Grüne, Lars, Hafstein, Sigurdur Freyr, Li, Huijuan, Wirth, Fabian   +4 more
core   +1 more source

Aspects of Bifurcation Theory for Piecewise-Smooth, Continuous Systems

, 2010
Systems that are not smooth can undergo bifurcations that are forbidden in smooth systems. We review some of the phenomena that can occur for piecewise-smooth, continuous maps and flows when a fixed point or an equilibrium collides with a surface on ...
Arima, Asai, Banerjee, Belghith, Brogliato, Caballé, Campbell, Carmona, Carmona, Carmona, Casey, Chang, Chin, Chua, Colombo, Coombes, D.J.W. Simpson, di Bernardo, di Bernardo, di Bernardo, di Bernardo, di Bernardo, di Bernardo, Do, Do, Feigin, Filippov, Freire, Freire, Ganguli, Gardini, Glendinning, Gonçalves, Guardia, Hadeler, Hassouneh, Hommes, Iwatani, J.D. Meiss, Johansson, Küpper, Küpper, Lagarias, Laugesen, Leine, Leine, Leine, Liberzon, Lin, Llibre, Lum, Maistrenko, Mosekilde, Nusse, Nusse, Popp, Rasband, Rosen, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Sparrow, Sushko, Sushko, Szalai, Szalai, Tiesinga, Tse, Van der Schaft, Yang, Yuan, Zhao, Zhao, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zou, Zou   +85 more
core   +1 more source

Smoothing tautologies, hidden dynamics, and sigmoid asymptotics for piecewise smooth systems [PDF]

, 2015
Switches in real systems take many forms, such as impacts, electronic relays, mitosis, and the implementation of decisions or control strategies. To understand what is lost, and what can be retained, when we model a switch as an instantaneous event ...
Bender C. M., di Bernardo M., Edwards C., Guckenheimer J., Guckenheimer J., Hill A. V., Mike R. Jeffrey, Sotomayor J., Ueda Y.   +8 more
core   +3 more sources

Algorithmic Verification of Continuous and Hybrid Systems [PDF]

, 2014
We provide a tutorial introduction to reachability computation, a class of computational techniques that exports verification technology toward continuous and hybrid systems.
Maler, Oded
core   +2 more sources

Localized boundary-domain integral formulations for problems with variable coefficients [PDF]

, 2002
Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
core   +1 more source

Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold

, 2018
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family.
Bastos, Jéfferson L. R., Buzzi, Claudio A., Llibre, Jaume, Novaes, Douglas D.   +3 more
core   +1 more source

A general framework for boundary equilibrium bifurcations of Filippov systems

, 2018
As parameters are varied a boundary equilibrium bifurcation (BEB) occurs when an equilibrium collides with a discontinuity surface in a piecewise-smooth system of ODEs. Under certain genericity conditions, at a BEB the equilibrium either transitions to a
Simpson, D. J. W.
core   +1 more source

Controllability linear systems with many delays in control by the differential regulators

Журнал Белорусского государственного университета: Математика, информатика, 2019
In the theory of controllability dynamical systems in most cases the control is selected from the class of piecewise  continuous functions. But the choise of the control from other classes is interested.
Georgii P. Razmyslovich, Valerii V. Krakhotko   +1 more
doaj  

Minimizers with discontinuous velocities for the electromagnetic variational method

, 2011
The electromagnetic two-body problem has \emph{neutral differential delay} equations of motion that, for generic boundary data, can have solutions with \emph{discontinuous} derivatives. If one wants to use these neutral differential delay equations with \
A. Bellen, D. Colton, E. Nelson, F. Hoyle, J. D. Jackson, Jayme De Luca, O. Diekman   +6 more
core   +1 more source

On the Poincaré map and limit cycles for a class of continuous piecewise linear differential systems with three zones

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2015
Due to the encouraging increase in their applications, control theory [5] and [9], design of electric circuits [2], neurobiology [4] and [8] piecewise linear differential systems were studied early from the point of view of qualitative theory of ordinary differential equations [1].
Claudio Pessoa, Weber F. Pereira, Maurício F. S. Lima   +2 more
openaire   +2 more sources