... and to optimize the responses through updating the transfer function coefficients. model reduction differential evolution effective independence distribution vector (EIDV) system realization SREM technique Eigenvalue mode shape closed loop systems differential equations eigenvalues...

... be useful for autonomous robotic systems involving marine and air vehicles. aircraft closed loop systems continuous time systems damping differential equations linear systems marine vehicles mobile robots oscillators path planning structural engineering time-varying systems The problem...

...Paul Milenkovic The kinematic differential equations express the paths taken by points, lines, and coordinate frames attached to a rigid body in terms of the instantaneous screw for the motion of that body. Such differential equations are linear but with a time-varying coefficient and hence...

... of linear momentum and direct differential kinematics generate a set of ordinary differential equations that govern the motion tracking of the robot. The digitalized linear quadratic regulator (LQR) with prescribed degree of stability is used as the feedback control scheme to suppress vibrations...

... density distribution, which is consequently driven by the applied current through the boundary conditions. The resulting, mostly causal, implementation of the algebraic differential equations that describe the battery electrochemical principles, even after assuming fixed electrolyte concentration...

... bonds. Simulation of these models required ad hoc writing of the differential equations, however, a difficult task. The present brief announces the availability of software, based on a combination of convection and conventional bond graphs, which considerably expedites the simulation of thermodynamic...

... bond graphs differential equations gears shafts torque traction vectors vehicle dynamics Traditional open differentials distribute the same amount of torque to the left and right wheels while allowing them to rotate at different speeds. Active differentials utilize one or two clutches...

... for system 12 . Proof. By the generalized Itô differential equation ( 26 ), for the augmented system 12 , we have 26 E { ∫ 0 ∞ ξ ′ Q ¯ ξ d t ∣ ξ 0 , i } = ξ 0 ′ P i ξ 0 − ξ ∞ ′ P i ξ ∞ + E { ∫ 0 ∞ ( ξ ′ Q ¯ ξ...

... coordinates e 1 , … , e n e of elements after introducing the interpolation function equation 1 to the energy representation. Schematic of 36 deg of freedom plate element coordinates deformation differential equations elasticity friction many-body problems materials...

...-to-output stable small gain theorem for systems of functional-differential equations. Experimental results are presented, which demonstrate stable behavior of the telerobotic system with time-varying communication delay during contact with a rigid obstacle. delays differential equations feedback...

...Sun Yi; Patrick W. Nelson; A. Galip Ulsoy An approach to eigenvalue assignment for systems of linear time-invariant (LTI) delay differential equations (DDEs), based upon the solution in terms of the matrix Lambert W function, is applied to the problem of robust control design for perturbed LTI...

... for simultaneous estimation of the local stiffness and piezoelectric properties of materials. For this, the governing equation of motion of a vertical PFM is derived at a given point on the sample. Using the expansion theorem, the governing ordinary differential equations of the system and their state-space...

.... The end results of such undesirable effects directly reflect to costs. This paper is motivated to reveal the mechanisms leading to these problems by analytically characterizing qualitative behavior of supply network dynamics modeled by continuous-time differential equations. The presence of delay forms...

... is governed by a particular class of delay differential equations, featuring time delays on the states of the system. Next, flight trajectories and maneuvering strategies for supercavitating vehicles are obtained by solving an optimal control problem, whose solution, given a cost function and general...

... and rotational speed, and timing groove. The pressure distribution is derived for different operating conditions, together with a complementary numerical analysis of the original differential equations, specifically written for this application and used to validate the theoretical solutions. An excellent...

..., and the dynamic constraints are expressed by a set of fractional differential equations. The calculus of variations, the Lagrange multiplier, and the formula for fractional integration by parts are used to obtain Euler–Lagrange equations for the FOCP. The formulation presented and the resulting equations are very...

... algebra differential equations bifurcation delay differential equations parametric excitation Mathieu equation The stability of systems governed by time-periodic differential equations is important to various fields of science and engineering. For instance, recent literature has...

... algebraic constraint equations, the proposed method uses an ordinary differential equation (ODE) solver to obtain the dependent coordinates, hence, eliminates the need for Newton-type iterations and is amenable to real-time implementation. The composite Lyapunov function method is used to show...

...C. Q. Liu; Fang Li; R. L. Huston Governing dynamical equations of motion for a basketball rolling on the rim of a basket are developed and presented. These equations form a system of five first-order, ordinary differential equations. Given suitable initial conditions, these equations are readily...

... be shown 24 that these coefficients are described by the following system of nonlinear coupled ordinary differential equations (ODEs) (8) A ′ = 1 2   a 1 − 1 B + 3 a 31 8   B A 2 + B 2 , B ′ = − 1 2...