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Locally fitting hyperplanes to high-dimensional data (2022)
Journal Article
Hou, M., & Kambhampati, C. (2022). Locally fitting hyperplanes to high-dimensional data. Neural Computing and Applications, 34(11), 8885-8896. https://doi.org/10.1007/s00521-022-06909-y

Problems such as data compression, pattern recognition and artificial intelligence often deal with a large data sample as observations of an unknown object. An effective method is proposed to fit hyperplanes to data points in each hypercubic subregio... Read More about Locally fitting hyperplanes to high-dimensional data.

Modeling and control of anterior–posterior and medial–lateral sways in standing posture (2022)
Journal Article
Hou, M., Fagan, M., Vanicek, N., & Dobson, C. A. (2022). Modeling and control of anterior–posterior and medial–lateral sways in standing posture. Journal of biomechanics, 134, Article 110930. https://doi.org/10.1016/j.jbiomech.2021.110930

To study essential anterior–posterior and medial–lateral sways of the stance caused by rotational movements about the ankle and hip joints, a mathematical model is developed for the 3D postural kinematics and dynamics. The model is in the form of non... Read More about Modeling and control of anterior–posterior and medial–lateral sways in standing posture.

Assessments of bilateral asymmetry with application in human skull analysis (2021)
Journal Article
Hou, M., & Fagan, M. J. (2021). Assessments of bilateral asymmetry with application in human skull analysis. PLoS ONE, 16(10), Article e0258146. https://doi.org/10.1371/journal.pone.0258146

As a common feature, bilateral symmetry of biological forms is ubiquitous, but in fact rarely exact. In a setting of analytic geometry, bilateral symmetry is defined with respect to a point, line or plane, and the well-known notions of fluctuating as... Read More about Assessments of bilateral asymmetry with application in human skull analysis.

Force–length relation of skeletal muscles: from sarcomeres to myofibril (2018)
Journal Article
Hou, M. (2018). Force–length relation of skeletal muscles: from sarcomeres to myofibril. Biomechanics and Modeling in Mechanobiology, 17(6), 1797-1810. https://doi.org/10.1007/s10237-018-1057-0

Sarcomeres are building blocks of skeletal muscles. Given force–length relations of sarcomeres serially connected in a myofibril, the myofibril force–length relation can be uniquely determined. Necessary and sufficient conditions are derived for capa... Read More about Force–length relation of skeletal muscles: from sarcomeres to myofibril.

Optimization of active muscle force-length models using least squares curve fitting (2015)
Journal Article
Hou, M., & Mohammed, G. A. (2015). Optimization of active muscle force-length models using least squares curve fitting. IEEE transactions on bio-medical engineering / Bio-medical Engineering Group, 63(3), 630-635. https://doi.org/10.1109/TBME.2015.2467169

The objective of this paper is to propose an asymmetric Gaussian function as an alternative to the existing active force-length models, and to optimize this model along with several other existing models by using the least squares curve fitting metho... Read More about Optimization of active muscle force-length models using least squares curve fitting.

On natural frequencies and eigenmodes of a linear vibration system (2007)
Journal Article
Müller, P. C., & Hou, M. (2007). On natural frequencies and eigenmodes of a linear vibration system. ZAMM, 87(5), 348-351. https://doi.org/10.1002/zamm.200610319

For conservative linear chain-structured mass-spring vibration systems with n degrees of freedom, the conjecture of Mikota [1] on the natural frequencies is verified. In addition, the eigenvalue/eigenvector problem of a related square root matrix is... Read More about On natural frequencies and eigenmodes of a linear vibration system.

Estimation of sinusoidal frequencies and amplitudes using adaptive identifier and observer (2007)
Journal Article
Hou, M. (2007). Estimation of sinusoidal frequencies and amplitudes using adaptive identifier and observer. IEEE transactions on automatic control, 52(3), 493-499. https://doi.org/10.1109/TAC.2006.890389

A simple method is proposed for estimation of amplitudes of multiple sinusoids. The estimation is based on the existing adaptive identifier which offers the globally convergent estimate of sinusoidal frequencies. To deal with possible singularities o... Read More about Estimation of sinusoidal frequencies and amplitudes using adaptive identifier and observer.

Neural observer by coordinate transformation (2005)
Journal Article
Delgado, A., Hou, M., & Kambhampati, C. (2005). Neural observer by coordinate transformation. IEE Proceedings Control Theory and Applications, 152(6), 698-706. https://doi.org/10.1049/ip-cta%3A20045069

Nonlinear control affine systems with maximum relative degree and a class of nonlinear differential equations can be transformed into a state representation known as the normal form. Based on the normal form an observer is designed using neural netwo... Read More about Neural observer by coordinate transformation.

Amplitude and frequency estimator of a sinusoid (2005)
Journal Article
Hou, M. (2005). Amplitude and frequency estimator of a sinusoid. IEEE transactions on automatic control, 50(6), 855-858. https://doi.org/10.1109/TAC.2005.849244

A dynamic estimator with global convergence property is proposed to simultaneously reconstruct the unknown values of the amplitude, frequency, and offset of a sinusoidal signal which is measured. Several versions of the estimator along with illustrat... Read More about Amplitude and frequency estimator of a sinusoid.

Observing a three-tank system (2005)
Journal Article
Hou, M., Xiong, Y., & Patton, R. (2005). Observing a three-tank system. IEEE Transactions on Control Systems Technology, 13(3), 478-484. https://doi.org/10.1109/TCST.2004.839578

Observability analysis and observer synthesis are studied for a three-tank water process. Observability of the process is considered under various assumptions on measurements. The observer design takes into account singularity of nonlinear observers.... Read More about Observing a three-tank system.

Controllability and elimination of impulsive modes in descriptor systems (2004)
Journal Article
Hou, M. (2004). Controllability and elimination of impulsive modes in descriptor systems. IEEE transactions on automatic control, 49(10), 1723-1729. https://doi.org/10.1109/TAC.2004.835392

As a refined notion, impulsive-mode controllability is suggested for the general class of linear continuous descriptor systems. This notion reveals rich properties of the general descriptor systems in terms of admissibility of initial conditions, adm... Read More about Controllability and elimination of impulsive modes in descriptor systems.

An observer design for linear time-delay systems (2002)
Journal Article
Hou, M., Zítek, P., & Patton, R. J. (2002). An observer design for linear time-delay systems. IEEE transactions on automatic control, 47(1), 121-125. https://doi.org/10.1109/9.981730

An observer design is proposed for linear systems with time delay. The key of the design is to find a generalized coordinate change such that in the new coordinates all the time-delay terms are injected by the system's output. The existence of such a... Read More about An observer design for linear time-delay systems.

A test for behavioral equivalence (2000)
Journal Article
Hou, M., Pugh, A. C., & Hayton, G. E. (2000). A test for behavioral equivalence. IEEE transactions on automatic control, 45(11), 2177-2182. https://doi.org/10.1109/9.887674

External equivalence of behavioral representations is investigated within an impulsive-smooth framework. As an attendant problem, initial-value consistency is also considered. Explicit necessary and sufficient conditions are derived. Applying the ext... Read More about A test for behavioral equivalence.

Observer design based on triangular form generated by injective map (2000)
Journal Article
Hou, M., Busawon, K., & Saif, M. (2000). Observer design based on triangular form generated by injective map. IEEE transactions on automatic control, 45(7), 1350-1355. https://doi.org/10.1109/9.867046

A study is conducted which focuses on showing that for the multi-output case uniform observability is necessary but not sufficient for the existence of a coordinate change bringing a system a triangular form; providing a procedure to construct an inj... Read More about Observer design based on triangular form generated by injective map.

General solution to systems in polynomial matrix form (2000)
Journal Article
Hou, M., Pugh, A. C., & Hayton, G. E. (2000). General solution to systems in polynomial matrix form. International journal of control, 73(9), 733-743. https://doi.org/10.1080/00207170050029241

Solvability and general solutions to dynamic systems in polynomial matrix descriptions are investigated. The polynomial matrix descriptions need not necessarily be regular. Consistency of initial Values and inputs are discussed. The characterization... Read More about General solution to systems in polynomial matrix form.