The application of fixed point theorems to global nonlinear controllability problems.
The asymptotical stability of a dynamic system uppercasewith structural damping
A dynamic system with structural damping described by partial differential equations is investigated. The system is first converted to an abstract evolution equation in an appropriate Hilbert space, and the spectral and semigroup properties of the system operator are discussed. Finally, the well-posedness and the asymptotical stability of the system are obtained by means of a semigroup of linear operators.
The minimal-norm problem and Pontriagin's maximum principle for Banach spaces, II
The non-standard LQR problem for boundary control systems.
The stability of an irrigation canal system
In this paper we examine the stability of an irrigation canal system. The system considered is a single reach of an irrigation canal which is derived from Saint-Venant's equations. It is modelled as a system of nonlinear partial differential equations which is then linearized. The linearized system consists of hyperbolic partial differential equations. Both the control and observation operators are unbounded but admissible. From the theory of symmetric hyperbolic systems, we derive the exponential...
Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem