Combinatorial optimization: algorithms and complexity
Combinatorial optimization: algorithms and complexity
Studies in hybrid systems: modeling, analysis, and control
Studies in hybrid systems: modeling, analysis, and control
Optimal control of hybrid systems: theory and algorithms
Optimal control of hybrid systems: theory and algorithms
Technical communique: A benchmark for optimal control problem solvers for hybrid nonlinear systems
Automatica (Journal of IFAC)
Necessary Conditions for the Impulsive Time-Optimal Control of Finite-Dimensional Lagrangian Systems
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
A descent algorithm for the optimal control of constrained nonlinear switched dynamical systems
Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
Modeling and optimal control of hybrid rigidbody mechanical systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
On-line optimization of switched-mode hybrid dynamical systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
On an Optimization Problem for a Class of Impulsive Hybrid Systems
Discrete Event Dynamic Systems
Timing Control of Switched Systems with Applications to Robotic Marionettes
Discrete Event Dynamic Systems
Synthesis of optimal switching logic for hybrid systems
EMSOFT '11 Proceedings of the ninth ACM international conference on Embedded software
Output-Based optimal timing control of switched systems
HSCC'06 Proceedings of the 9th international conference on Hybrid Systems: computation and control
Event-Based model predictive control and verification of integral continuous-time hybrid automata
HSCC'06 Proceedings of the 9th international conference on Hybrid Systems: computation and control
HSCC'06 Proceedings of the 9th international conference on Hybrid Systems: computation and control
Synthesis of optimal controllers for piecewise affine systems with sampled-data switching
Automatica (Journal of IFAC)
Graph process specifications for hybrid networked systems
Discrete Event Dynamic Systems
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A class of hybrid optimal control problems is formulated and a set of necessary conditions for hybrid system trajectory optimality is presented. These conditions constitute generalizations of the standard Maximum Principle (MP). Employing these conditions, we propose a class of general Hybrid Maximum Principle (HMP) based algorithms for hybrid systems optimization; these algorithms and the associated theory appear to be significantly simpler than some of the recently proposed algorithms (see [13], [14], for example). Using results from the theory of penalty function methods and Ekeland's variational principle we show the convergence of these algorithms under reasonable assumptions. The efficacy of the proposed algorithms is illustrated via several computational examples.