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State-of-the-art digital circuit design tools almost exclusively rely on pure and inertial delay for timing simulations. While these provide reasonable estimations at very low execution time in the average case, their ability to cover…

Other Computer Science · Computer Science 2021-07-20 Jürgen Maier

This paper studies the problem of event-triggered impulsive control for discrete-time systems. A novel periodic event-triggering scheme with two tunable parameters is presented to determine the moments of updating impulsive control signals…

Optimization and Control · Mathematics 2023-04-28 Kexue Zhang , Elena Braverman

This paper studies impulsive stabilization of nonlinear systems. We propose two types of event-triggering algorithms to update the impulsive control signals with actuation delays. The first algorithm is based on continuous event detection,…

Optimization and Control · Mathematics 2022-12-16 Kexue Zhang , Elena Braverman

It is shown that an internal control based on a moving indicator function is able to stabilize the state of parabolic equations evolving in rectangular domains. For proving the stabilizability result, we start with a control obtained from…

Optimization and Control · Mathematics 2020-11-30 Behzad Azmi , Karl Kunisch , Sérgio S. Rodrigues

Incremental stability of dynamical systems ensures the convergence of trajectories from different initial conditions towards each other rather than a fixed trajectory or equilibrium point. Here, we introduce and characterize a novel class…

Systems and Control · Electrical Eng. & Systems 2024-11-05 David Smith Sundarsingh , Bhabani Shankar Dey , Pushpak Jagtap

Incremental stability is a property of dynamical systems that ensures the convergence of trajectories with respect to each other rather than a fixed equilibrium point or a fixed trajectory. In this paper, we introduce a related stability…

Systems and Control · Electrical Eng. & Systems 2025-10-14 P Sangeerth , David Smith Sundarsingh , Bhabani Shankar Dey , Pushpak Jagtap

We present SSD, Software for Systems with Delays, a de novo MATLAB package for the analysis and model reduction of retarded time delay systems (RTDS). Underneath, our delay system object bridges RTDS representation and Linear Fractional…

Optimization and Control · Mathematics 2022-08-26 Suat Gumussoy

We introduce QCLAB, an object-oriented MATLAB toolbox for constructing, representing, and simulating quantum circuits. Designed with an emphasis on numerical stability, efficiency, and performance, QCLAB provides a reliable platform for…

Quantum Physics · Physics 2025-03-06 Sophia Keip , Daan Camps , Roel Van Beeumen

In this paper, we present sufficient conditions for asymptotic stability and exponential stability of a class of impulsive neutral differential equations with discrete and distributed delays. Our approaches are based on the method using…

Dynamical Systems · Mathematics 2025-04-03 Jinyuan Pan , Guiling Chen

This paper presents a new Matlab toolbox, aimed at facilitating the use of polynomial optimization for stability analysis of nonlinear systems. In the past decade several decisive contributions made it possible to recast this type of…

Optimization and Control · Mathematics 2024-04-03 Stéphane Drobot , Matteo Tacchi , Carmen Cardozo , Colin N. Jones

This tutorial shows an overview of Model Predictive Control with a linear discrete-time system and constrained states and inputs. The focus is on the implementation of the method under consideration of stability and recursive feasibility.…

Systems and Control · Electrical Eng. & Systems 2021-09-27 Michael Fink

VISSIM is a widely used microscopic traffic simulator, which not only provides a graphical user interface to simulate simple static controls (pre-timed or fixed-time) but also offers flexibility to dynamically control simulation through…

Systems and Control · Electrical Eng. & Systems 2020-07-31 Prateek Bansal

This thesis addresses the question of stability of systems defined by differential equations which contain nonlinearity and delay. In particular, we analyze the stability of a well-known delayed nonlinear implementation of a certain…

Dynamical Systems · Mathematics 2007-05-23 Matthew M. Peet

The main objective of this paper is the construction of the solution of an impulsive stochastic differential equation, subject to control conditions in the pulse-times and give sufficient conditions for them to be random variables with…

Probability · Mathematics 2015-08-24 Ricardo Castro Santis

Solutions to the interval observation problem for delayed impulsive and switched systems with $L_1$-performance are provided. The approach is based on first obtaining stability and $L_1/\ell_1$-to-$L_1/\ell_1$ performance analysis…

Optimization and Control · Mathematics 2018-10-16 Corentin Briat

We present the calibrated-projection MATLAB package implementing the method to construct confidence intervals proposed by Kaido, Molinari and Stoye (2017). This manual provides details on how to use the package for inference on projections…

Econometrics · Economics 2017-10-27 Hiroaki Kaido , Francesca Molinari , Jörg Stoye , Matthew Thirkettle

In this paper, is used the Lagrangian classical mechanics for modeling the dynamics of an underactuated system, specifically a rotary inverted pendulum that will have two equations of motion. A basic design of the system is proposed in…

Robotics · Computer Science 2017-06-19 Juan Libardo Duarte Madrid , P. A. Ospina-Henao , E González Querubín

This paper studies the finite-time stability and stabilization of linear discrete time-varying stochastic systems with multiplicative noise. Firstly, necessary and sufficient conditions for finite-time stability are presented via state…

Optimization and Control · Mathematics 2018-06-25 Tianliang Zhang , Feiqi Deng , Weihai Zhang

We describe QGLAB, a new MATLAB package for analyzing partial differential equations on quantum graphs. The software is built on the existing, object-oriented MATLAB directed-graph class, inheriting its structure and adding additional…

Numerical Analysis · Mathematics 2024-11-08 Roy H. Goodman , Grace Conte , Jeremy L. Marzuola

An adaptive method of controlling parametric instabilities in laser produced plasmas is proposed. It involves fast temporal modulation of a laser pulse on the fastest instability's amplification time scale, adapting to changing and unknown…

Plasma Physics · Physics 2015-06-11 Bedros Afeyan , Stefan Hüller