Introduction to Hybrid Dynamical Systems
Introduction to Hybrid Dynamical Systems
A Rigorous Global Optimization Algorithm for Problems with Ordinary Differential Equations
Journal of Global Optimization
A Combinatorial, Graph-Based Solution Method for a Class of Continuous-Time Optimal Control Problems
Mathematics of Operations Research
Automatica (Journal of IFAC)
Brief paper: Optimal switching instants for a switched-capacitor DC/DC power converter
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Results and perspectives on computational methods for optimal control of switched systems
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Optimal control of switching systems
Automatica (Journal of IFAC)
Optimal piecewise state feedback control for impulsive switched systems
Mathematical and Computer Modelling: An International Journal
Control parameterization enhancing transform for optimal control of switched systems
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
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In this paper, a class of optimal switching control problems is considered in which the mode sequence of active subsystems and the number of mode switchings are not pre-specified, and both the switching sequence and the control inputs are to be chosen such that the cost functional is minimized. For solving this problem, we discuss the necessary conditions for optimality and the construction method for suboptimal solutions, and develop a few sufficient conditions of judgment on the optimal or suboptimal solutions of the switched system. According to the sufficient conditions, a parallel computational algorithm is constructed to find optimal or suboptimal solutions. For illustration, two examples are solved using the proposed algorithm.