A new computational method for optimizing nonlinear impulsive systems. (English) Zbl 1210.49035

Summary: We consider a system that evolves by switching between several subsystems of ordinary differential equations. The switching mechanism in this system induces an instantaneous change in the system’s state, which can be controlled through a set of decision parameters. We develop a new computational method, based on nonlinear programming, for optimizing the system parameters and the subsystem switching times. We then successfully apply this method to two interesting examples.


49M37 Numerical methods based on nonlinear programming
49N25 Impulsive optimal control problems
90C30 Nonlinear programming
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)