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Keywords: differential equations
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Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Dyn. Sys., Meas., Control. January 2012, 134(1): 014502.
Published Online: December 5, 2011
... 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...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. November 2011, 133(6): 061002.
Published Online: September 9, 2011
...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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. September 2011, 133(5): 051001.
Published Online: July 19, 2011
... 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...
Journal Articles
Publisher: ASME
Article Type: Modeling For Control
J. Dyn. Sys., Meas., Control. November 2010, 132(6): 061302.
Published Online: October 29, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Dyn. Sys., Meas., Control. November 2010, 132(6): 064501.
Published Online: October 29, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Modeling Applications
J. Dyn. Sys., Meas., Control. November 2010, 132(6): 061501.
Published Online: October 29, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. September 2010, 132(5): 051005.
Published Online: August 16, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. September 2010, 132(5): 051004.
Published Online: August 12, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. May 2010, 132(3): 031008.
Published Online: April 27, 2010
...-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...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Dynamic Modeling Control And Manipulation At The Nanoscale
J. Dyn. Sys., Meas., Control. November 2009, 131(6): 061107.
Published Online: November 6, 2009
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. March 2009, 131(2): 021005.
Published Online: February 4, 2009
.... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. January 2009, 131(1): 011009.
Published Online: December 8, 2008
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. January 2008, 130(1): 011011.
Published Online: January 8, 2008
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. January 2008, 130(1): 011010.
Published Online: December 27, 2007
..., 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. March 2007, 129(2): 125–135.
Published Online: May 11, 2006
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. March 2006, 128(1): 142–151.
Published Online: November 30, 2005
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. June 2006, 128(2): 359–364.
Published Online: May 19, 2005
...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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. June 2004, 126(2): 319–326.
Published Online: August 5, 2004
... 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...