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: This paper derives several wellposedness (existence and uniqueness) and stability results for nonlinear stochastic distributed parameter systems (SDPSs) governed by nonlinear partial differential equations (PDEs) subject ...

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: The majority of non-Newtonian materials exhibit an out-of-phase stress-strain relationship (i.e., evidenced by the fundamental and associated harmonics) over a wide range of frequencies. This ...

Abstract: A formula for the interval between solar collector cleanings is presented which minimizes the energy user’s annual operating costs (including backup energy costs). Results are applicable to both ...

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 ...