Generalized Derivatives for Hybrid Systems

No abstract is available for this paper.

• Publication year

  2017

• Venue

  IEEE Transactions on Automatic Control

• Publication date

  2017-01-09

• Fields of study

  Mathematics, Computer Science, Engineering

• Identifiers
  DOI 10.1109/TAC.2016.2644759
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• A convex analysis approach to optimal controls with switching structure for partial differential equations

  2016cited by this paper
• A vector forward mode of automatic differentiation for generalized derivative evaluation

  2015influential reference
• Lyapunov-Based Sufficient Conditions for Stability of Hybrid Systems With Memory

  2015cited by this paper
• Generalized gradient elements for nonsmooth optimal control problems

  2014cited by this paper
• Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides

  2014influential reference
• A reliable simulator for dynamic flux balance analysis

  2013cited by this paper
• Distributed Model Predictive Control of Switched Nonlinear Systems with Scheduled Mode Transitions

  2013cited by this paper
• On stable piecewise linearization and generalized algorithmic differentiation

  2013cited by this paper
• An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions

  2013cited by this paper
• Exponential stability of stochastic functional differential equations with Markovian switching and delayed impulses via Razumikhin method

  2012cited by this paper
• Introduction to Piecewise Differentiable Equations

  2012influential reference
• The Art of Differentiating Computer Programs - An Introduction to Algorithmic Differentiation

  2012cited by this paper
• Improved relaxations for the parametric solutions of ODEs using differential inequalities

  2012cited by this paper
• Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

  2011cited by this paper
• Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems

  2011cited by this paper
• Exponential stability of impulsive stochastic functional differential equations

  2011cited by this paper
• Optimal Control and Estimation

  2009cited by this paper
• Hybrid dynamical systems

  2009cited by this paper
• Multi-object Adaptive Cruise Control

  2008cited by this paper
• Optimal mode-switching for hybrid systems with varying initial states

  2008cited by this paper
• Stability Criteria for Switched and Hybrid Systems

  2007cited by this paper
• Dynamics and Bifurcations ofNon - Smooth Mechanical Systems

  2006cited by this paper
• Lexicographic differentiation of nonsmooth functions

  2005influential reference
• Optimal Control of Switching Surfaces in Hybrid Dynamical Systems

  2005cited by this paper
• Applied Hybrid System Optimization: An Empirical Investigation of Complexity ?

  2004cited by this paper
• Consensus problems in networks of agents with switching topology and time-delays

  2004cited by this paper
• Coderivatives in parametric optimization

  2004cited by this paper
• Qualitative simulation of genetic regulatory networks using piecewise-linear models

  2004cited by this paper
• Complementarity systems in optimization

  2004cited by this paper
• Hybrid Control Design for a Wheeled Mobile Robot

  2003cited by this paper
• Dynamical properties of hybrid automata

  2003cited by this paper
• Hybrid Control of Parabolic PDEs: Handling Faults of Constrained Control Actuators

  2003cited by this paper
• Modeling, simulation, sensitivity analysis, and optimization of hybrid systems

  2002cited by this paper
• Optimal control of switched autonomous systems

  2002cited by this paper
• Survey of Bundle Methods for Nonsmooth Optimization

  2002cited by this paper
• Stability of hybrid system limit cycles: application to the compass gait biped robot

  2001cited by this paper
• Evaluating derivatives - principles and techniques of algorithmic differentiation, Second Edition

  2000cited by this paper
• Optimization of hybrid discrete/continuous dynamic systems

  2000cited by this paper
• Trajectory Sensitivity Analysis of Hybrid Systems

  2000cited by this paper
• Parametric sensitivity functions for hybrid discrete/continuous systems

  1999influential reference
• Sliding mode control in electromechanical systems

  1999cited by this paper
• Sensitivity of Automatic Control Systems

  1999cited by this paper
• Sensitivity analysis of composite piecewise smooth equations

  1997cited by this paper
• The complementary-slackness class of hybrid systems

  1996cited by this paper
• Stability theory for hybrid dynamical systems

  1995cited by this paper
• A nonsmooth version of Newton's method

  1993cited by this paper
• Differential Equations with Discontinuous Righthand Sides

  1988cited by this paper
• Minimization Methods for Non-Differentiable Functions

  1985cited by this paper
• Optimization And Nonsmooth Analysis

  1983influential reference
• One-step methods of any order for ordinary differential equations with discontinuous right-hand sides

  1978cited by this paper
• A minimal set-valued strong derivative for vector-valued Lipschitz functions

  1977cited by this paper
• A class of hybrid-state continuous-time dynamic systems

  1966cited by this paper

• Global asymptotic local exponential stability of time-delay hybrid systems with logical dynamics

  2026cites this paper
• Computing subgradients of convex relaxations for solutions of parametric ordinary differential equations

  2024cites this paper
• Evaluating subgradients for convex relaxations of dynamic process models by adapting current tools

  2023cites this paper
• Theory of index-one nonlinear complementarity systems

  2021cites this paper
• Nonsmooth Hessenberg differential-algebraic equations

  2021cites this paper
• Nonlinear scheduling with time‐variable electricity prices using sensitivity‐based truncations of wavelet transforms

  2020cites this paper
• A Petlyuk distillation column dynamic analysis: Hysteresis and bifurcations

  2020cites this paper
• Constructing a subgradient from directional derivatives for functions of two variables

  2020cites this paper
• Optimization-Constrained Differential Equations with Active Set Changes

  2020cites this paper
• Nonsmooth Analysis In Process Modeling, Design And Optimization

  2019cites this paper
• Sensitivity analysis for trajectories of nonsmooth mechanical systems with simultaneous impacts: a hybrid systems perspective

  2019cites this paper
• Nonsmooth DAEs with Applications in Modeling Phase Changes

  2018cites this paper
• Generalized Sensitivity Analysis of Nonlinear Programs

  2018influential citation
• Branch-locking AD techniques for nonsmooth composite functions and nonsmooth implicit functions

  2018influential citation
• Computationally relevant generalized derivatives: theory, evaluation and applications

  2018influential citation
• Subtangent-based approaches for dynamic set propagation

  2018cites this paper
• Enabling motions with impacts in robotic and mechatronic systems

  2018cites this paper
• Optimization of single mixed-refrigerant natural gas liquefaction processes described by nondifferentiable models

  2018cites this paper
• Robust simulation and optimization methods for natural gas liquefaction processes

  2018cites this paper
• Dependence of solutions of nonsmooth differential-algebraic equations on parameters

  2017cites this paper
• Reliable Flash Calculations: Part 2. Process flowsheeting with nonsmooth models and generalized derivatives

  2017cites this paper
• Nonsmooth differential-algebraic equations in chemical engineering

  2017cites this paper
• A Semismooth Newton Method for Fast, Generic Convex Programming

  2017cites this paper
• Forward Parametric Sensitivity Functions for Carathéodory Index-1 Semi-Explicit Differential-Algebraic Equations

  2016cites this paper
• NONSMOOTH DIFFERENTIAL-ALGEBRAIC EQUATIONS

  2016cites this paper
• Generalized Derivatives of Differential–Algebraic Equations

  2016cites this paper
• Simulation and Design Methods for Multiphase Multistream Heat Exchangers

  2016cites this paper
• Generalized derivatives of optimal control problems with nonsmooth differential-algebraic equations embedded

  2016cites this paper
• Sensitivity analysis for nonsmooth dynamic systems

  2015cites this paper