Optimal Determination of Respiratory Airflow Patterns Using a Nonlinear Multicompartment Model for a Lung Mechanics System

We develop optimal respiratory airflow patterns using a nonlinear multicompartment model for a lung mechanics system. Specifically, we use classical calculus of variations minimization techniques to derive an optimal airflow pattern for inspiratory and expiratory breathing cycles. The physiological interpretation of the optimality criteria used involves the minimization of work of breathing and lung volume acceleration for the inspiratory phase, and the minimization of the elastic potential energy and rapid airflow rate changes for the expiratory phase. Finally, we numerically integrate the resulting nonlinear two-point boundary value problems to determine the optimal airflow patterns over the inspiratory and expiratory breathing cycles

ROBUST STABILITY AND PERFORMANCE ANALYSIS FOR STATE-SPACE SYSTEMS VIA QUADRATIC LYAPUNOV BOUNDS

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57854/1/BernsteinHaddadRobustStabilitySIMAX.pd

Parameter-Dependent Lyapunov Functions and the Popov Criterion in Robust Analysis and Synthesis

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57842/1/ParDepPopovTAC1995.pd

The Optimal Projection Equations with Petersen-Hollot Bounds: Robust Stability and Performance Via Fixed-Order Dynamic Compensation for Systems with Structured Real-valued Parameter Uncertainty

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57883/1/BernsteinPHBounds.pd

The Optimal Projection Equations for Reduced-Order State Estimation: The Singular Measurement Noise Case

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57879/1/OptProjSingStateEstTAC1987.pd

Robust stabilization with positive real uncertainty: Beyond the small gain theorem

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57858/1/PosRealUncSCL1991.pd

Robust, reduced-order, nonstrictly proper state estimation via the optimal projection equations with Petersen-Hollot bounds

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57862/1/RobROSEPHBSCL1987.pd

OPTIMAL REDUCED-ORDER SUBSPACE-OBSERVER DESIGN WITH A FREQUENCY -DOMAIN ERROR BOUND

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57840/1/OptimalReduced_OrderSubspace_ObserverDesignwithaFrequency_DomainErrorBound.pd

The optimal projection equations for reduced-order, discrete-time state estimation for linear systems with multiplicative white noise

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57881/1/OPERODTSEMWNSCL1987.pd