Numerical solution of hybrid systems of differential-algebraic equations
暂无分享,去创建一个
[1] Ernst Hairer,et al. Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .
[2] M. Arnold,et al. Index Reduction und Linearization in Industrial Multibody System Simulation , 2001 .
[3] Linda R. Petzold,et al. Consistent Initial Condition Calculation for Differential-Algebraic Systems , 1998, SIAM J. Sci. Comput..
[4] Stephen L. Campbell,et al. Comment on controlling generalized state-space (descriptor) systems , 1987 .
[5] V. Mehrmann,et al. A behavioural approach to linear time-varying descriptor systems , 2006 .
[6] E. Griepentrog,et al. Differential-algebraic equations and their numerical treatment , 1986 .
[7] P. Deuflhard,et al. One-step and extrapolation methods for differential-algebraic systems , 1987 .
[8] Volker Mehrmann,et al. Analysis of Over- and Underdetermined Nonlinear Differential-Algebraic Systems with Application to Nonlinear Control Problems , 2001, Math. Control. Signals Syst..
[9] Peter Deuflhard,et al. Numerische Mathematik. I , 2002 .
[10] Werner C. Rheinboldt,et al. Nonholonomic motion of rigid mechanical systems from a DAE viewpoint , 1987 .
[11] Wolfgang Rulka,et al. SIMPACK — A Computer Program for Simulation of Large-motion Multibody Systems , 1990 .
[12] W. Rheinboldt,et al. A general existence and uniqueness theory for implicit differential-algebraic equations , 1991, Differential and Integral Equations.
[13] Volker Mehrmann,et al. Differential-Algebraic Equations: Analysis and Numerical Solution , 2006 .
[14] Rolf Isermann,et al. Mechatronic systems: concepts and applications , 2000 .
[15] Werner C. Rheinboldt,et al. CLASSICAL AND GENERALIZED SOLUTIONS OF TIME-DEPENDENT LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS , 1996 .
[16] Volker Mehrmann,et al. A new look at pencils of matrix valued functions , 1994 .
[17] S. Campbell,et al. Observability of linear time-varying descriptor systems , 1991 .
[18] U. Nowak,et al. Numerical Integration of Constrained Mechanical Systems Using MEXX , 1995 .
[19] Volker Mehrmann,et al. GELDA: A software package for the solution of General Linear Differential Algebraic equations , 1995 .
[20] Werner Rath,et al. Derivative and proportional state feedback for linear descriptor systems with variable coefficients , 1997 .
[21] J. Baumgarte. Stabilization of constraints and integrals of motion in dynamical systems , 1972 .
[22] V. Mehrmann,et al. Canonical forms for linear differential-algebraic equations with variable coefficients , 1994 .
[23] R. Glowinski,et al. Numerical methods for multibody systems , 1994 .
[24] Daizhan Cheng,et al. Stabilization of planar switched systems , 2004, Syst. Control. Lett..
[25] Werner C. Rheinboldt,et al. Discontinuous solutions of semilinear differential-algebraic equations—II: P -consistency , 1996 .
[26] Jan C. Willems,et al. Introduction to mathematical systems theory: a behavioral approach, Texts in Applied Mathematics 26 , 1999 .
[27] Werner C. Rheinboldt,et al. Discontinuous solutions of semilinear differential-algebraic equations—I: distribution solutions , 1996 .
[28] V. Mehrmann,et al. Index reduction for differential‐algebraic equations by minimal extension , 2004 .
[29] Volker Mehrmann,et al. Analysis and Numerical Solution of Control Problems in Descriptor Form , 2001, Math. Control. Signals Syst..
[30] J. J. Slotine,et al. Tracking control of non-linear systems using sliding surfaces with application to robot manipulators , 1983, 1983 American Control Conference.
[31] Volker Mehrmann,et al. Regularization of Linear Descriptor Systems with Variable Coefficients , 1997 .
[32] F. Callier. Introduction to Mathematical Systems Theory: A Behavioural Approach, by Jan Willem Polderman and Jan C. Willems, Springer, New York, NY, 1998, Texts in Applied Mathematics Vol. 26, 424pp. , 2002 .
[33] Germán Rojas. An inequality for the critical value of nonlinear eigenvalue problems , 1987 .
[34] Thomas A. Henzinger,et al. Hybrid Automata: An Algorithmic Approach to the Specification and Verification of Hybrid Systems , 1992, Hybrid Systems.
[35] Volker Mehrmann,et al. A Behavioral Approach to Time-Varying Linear Systems. Part 1: General Theory , 2005, SIAM J. Control. Optim..
[36] M. A. Akanbi,et al. Numerical solution of initial value problems in differential - algebraic equations , 2005 .
[37] Stephen L. Campbell,et al. A general form for solvable linear time varying singular systems of differential equations , 1987 .
[38] E. Hairer,et al. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .
[39] Stephen L. Campbell. A general method for nonlinear descriptor systems: an example from robotic path control , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.
[40] C. W. Gear,et al. The index of general nonlinear DAEs , 1995 .
[41] Volker Mehrmann,et al. Regular solutions of nonlinear differential-algebraic equations and their numerical determination , 1998 .
[42] Michael S. Branicky,et al. Introduction to Hybrid Systems , 2005, Handbook of Networked and Embedded Control Systems.
[43] Volker Mehrmann,et al. A New Software Package for Linear Differential-Algebraic Equations , 1997, SIAM J. Sci. Comput..
[44] Volker Mehrmann,et al. A New Class of Discretization Methods for the Solution of Linear Differential-Algebraic Equations with Variable Coefficients , 1996 .
[45] T. E. Hull,et al. Numerical solution of initial value problems , 1966 .
[46] C. W. Gear,et al. Automatic integration of Euler-Lagrange equations with constraints , 1985 .
[47] Volker Mehrmann,et al. A Behavioral Approach to Time-Varying Linear Systems. Part 2: Descriptor Systems , 2005, SIAM J. Control. Optim..
[48] Antonio Pedro,et al. FROM LOCAL TO GLOBAL STABILIZATION: A HYBRID SYSTEM APPROACH? , 2002 .
[49] W. J. Terrell,et al. Duality, observability, and controllability for linear time-varying descriptor systems , 1991 .
[50] W. Rheinboldt,et al. Theoretical and numerical analysis of differential-algebraic equations , 2002 .
[51] Thomas I Seidman,et al. Sliding Modes in Intersecting Switching Surfaces, Ii: Hysteresis , 1998 .
[52] Gautam Biswas,et al. Hybrid Systems Diagnosis , 2000, HSCC.