Direct methods for sparse matrices
Direct methods for sparse matrices
The consistent intialization of differential-algebraic systems
SIAM Journal on Scientific and Statistical Computing
VODE: a variable-coefficient ODE solver
SIAM Journal on Scientific and Statistical Computing
On differential algebraic equations with discontinuities
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Index reduction in differential-algebraic equations using dummy derivatives
SIAM Journal on Scientific Computing
State event location in differential-algebraic models
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Numerical methods and software for sensitivity analysis of differential-algebraic systems
Applied Numerical Mathematics
Efficient sensitivity analysis of large-scale differential-algebraic systems
Applied Numerical Mathematics
Control and simulation of hybrid systems
Nonlinear Analysis: Theory, Methods & Applications
SIAM Journal on Scientific Computing
Combined continuous/discrete simulation: applications, techniques and tools
WSC '86 Proceedings of the 18th conference on Winter simulation
Parametric sensitivity functions for hybrid discrete/continuous systems
Applied Numerical Mathematics
Differential--Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index
SIAM Journal on Scientific Computing
Numerical Initial Value Problems in Ordinary Differential Equations
Numerical Initial Value Problems in Ordinary Differential Equations
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Hidden Discontinuities and Parametric Sensitivity Calculations
SIAM Journal on Scientific Computing
Discrete Event Dynamic Systems
Hybrid Systems
Hybrid Systems II
Hybrid Systems IV
Hybrid Systems V
A Dynamical Simulation Facility for Hybrid Systems
Hybrid Systems
Hybrid Systems IV
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
PADL '03 Proceedings of the 5th International Symposium on Practical Aspects of Declarative Languages
Constraint-based approach to investigate the process flexibility of food processing equipment
Computers and Industrial Engineering
Hybrid statecharts to model continuous and discrete behavior in engineering systems
AMCOS'05 Proceedings of the 4th WSEAS International Conference on Applied Mathematics and Computer Science
Simulation of systems with dynamically varying model structure
Mathematics and Computers in Simulation
Petri net translation patterns for the analysis of ebusiness collaboration messaging protocols
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Thermal analysis of multiprocessor SoC applications by simulation and verification
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Systematic simulation using sensitivity analysis
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems
SIAM Journal on Scientific Computing
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Hybrid (discrete/continuous) systems exhibit both discrete state and continuous state dynamics which interact to such a significant extent that they cannot be decoupled and must be analyzed simultaneously. We present an overview of the work that has been done in the modeling, simulation, sensitivity analysis, and optimization of hybrid systems, paying particular attention to the interaction between discrete and continuous dynamics. A concise intuitive framework for hybrid system modeling is presented, together with discussions on robust state event location, transfer functions of the continuous state at discontinuities, parametric sensitivity analysis of hybrid systems, and challenges in optimization.