Abstract: This paper formulates and solves new problems of inverse optimal stabilization and inverse optimal stabilization with gain assignment for nonlinear systems by Wiener processes. First, a theorem is developed to design inverse ...

Abstract: A new design of an inverse optimal boundary control law is first proposed to force a one-link rotating flexible arm with a tip mass subject to bounded disturbances to track a reference model. The proposed boundary control ...

Abstract: This paper poses and solves a stabilization problem of a rigid body governed by nonlinear differential equations in two viscous incompressible fluids governed by Navier–Stokes equations (NSEs), where surface tension of the ...

Abstract: This paper formulates and solves a new problem of inverse optimal control to maximize harvested energy from dynamical systems induced by external excitations. An inverse optimal control law is designed to minimize a cost ...

Abstract: and additive stochastic disturbances. These systems do not need to satisfy global Lipschitz and linear growth conditions. First, the nonlinear SDPSs are transformed to stochastic evolution systems (SESs), which are governed by stochastic ordinary differential...

Abstract: This paper first derives equations of motion of extensible and shearable slender beams with large motions under both deterministic and stochastic external loads. Boundary feedback controllers are then proposed to achieve ...

Abstract: A level curve approach is introduced to design global pathfollowing controllers for an underactuated surface ship. The approach is based on the observation: if the position of the ship satisfies the equation of the reference ...

Abstract: Despite the fact that environmental loads (forces and moments) induced by wind on quadrotor vertical takeoff and landing (VTOL) aircraft consist of both deterministic and stochastic components, all existing works on ...

Abstract: This paper presents a new recursive forwarding method to design control laws that globally asymptotically stabilize strict-feedforward systems, of which Jacobian linearization at the origin might not be stabilizable. At ...