Energy flow (thermodynamic) modeling in mechanical and aerospace systems; dynamical system theory; information and complexity theory; linear and nonlinear robust multivariable control for aerospace systems; stochastic modeling; structured and unstructured uncertainty in mechanical and aerospace systems; robust multivariable controller analysis and synthesis methods for capturing phase information in system uncertainty; multiobjective mixed-norm H2/H¥, H2/L1, and H¥/L1 controller synthesis; optimization theory for fixed-structure dynamic compensation; control of flexible structures; modeling and dynamic estimation; resilient controller design; fixed-architecture decentralized control; sampled-data systems; minimal complexity control; adaptive neural identification and control; stability theory for nonlinear dynamical systems; absolute stability theory; dissipativity theory; m-analysis and synthesis for linear and nonlinear systems; mixed H2/µ robust controller analysis and synthesis with fixed-structure multipliers; amplitude and rate saturation control; robust nonlinear feedback control (robust Hamilton-Jacobi-Bellman theory); nonlinear disturbance rejection control (nonlinear H¥ theory); adaptive control for nonlinear uncertain systems; nonlinear hierarchical switching control; hybrid systems and optimal switching control; impulsive dynamical systems; nonnegative and compartmental systems; pharmacokinetics and pharmacodynamics; hierarchical large-scale systems; vector Lyapunov stability theory and vector dissipativity theory; dynamical thermodynamics; network systems; expert systems; cyber-physical systems; and cooperative control of multiagent systems.
Applied areas of interest include vibration control of large flexible structures; smart structure control; noise control; active vibration absorber and isolation technology; active control of combustion and propulsion systems; analysis and control design of biological and physiological systems; and active control for clinical pharmacology.