Balancing nonlinear systems near attracting in variant manifolds. - W. Steven Gray; Erik I. Verriest (ECC, 1999)

Volterra series analysis and synthesis of a neural network for velocity estimation. - W. Steven Gray; Bahram Nabet (IEEE Trans. Syst. Man Cybern. Part B, 1999)

Stability of digital control systems subject to jump linear random perturbations. - W. Steven Gray; Oscar R. González; Sudarshan Patilkulkarni (CDC, 2000)

Hamiltonian extensions, Hilbert adjoints and singular value functions for nonlinear systems. - Jacquelien M. A. Scherpen; Kenji Fujimoto; W. Steven Gray (CDC, 2000)

Minimality and local state decompositions of a nonlinear state space realization using energy functions. - Jacquelien M. A. Scherpen; W. Steven Gray (IEEE Trans. Autom. Control., 2000)

Stability analysis of digital linear flight controllers subject to electromagnetic disturbances. - W. Steven Gray; Oscar R. González; Mustafa Dogan (IEEE Trans. Aerosp. Electron. Syst., 2000)

Nonlinear Hilbert adjoints: properties and applications to Hankel singular value analysis. - W. Steven Gray; Jacquelien M. A. Scherpen (ACC, 2001)

Stability analysis of upset recovery methods for electromagnetic interference. - Oscar R. González; W. Steven Gray; Arturo Tejada; Sudarshan Patilkulkarni (CDC, 2001)

Nonlinear Hilbert adjoints of Fliess operators. - W. Steven Gray (CDC, 2001)

On the nonuniqueness of singular value functions and balanced nonlinear realizations. - W. Steven Gray; Jacquelien M. A. Scherpen (Syst. Control. Lett., 2001)

Analysis of design trade-offs in the rollback recovery method for fault tolerant digital control systems. - Oscar R. González; Arturo Tejada; W. Steven Gray (ACC, 2002)

Generating series for nonlinear cascade and feedback systems. - W. Steven Gray; Yaqin Li (CDC, 2002)

Hamiltonian realizations of nonlinear adjoint operators. - Kenji Fujimoto; Jacquelien M. A. Scherpen; W. Steven Gray (Autom., 2002)

Fliess operators on Lp spaces: convergence and continuity. - W. Steven Gray; Yuan Wang 005 (Syst. Control. Lett., 2002)

Stochastic stability of a recoverable computer control system modeled as a finite-state machine. - W. Steven Gray; Sudarshan Patilkulkarni; Oscar R. González (ACC, 2003)

Closed-loop performance measures for flight controllers subject to neutron-induced upsets. - W. Steven Gray; Hong Zhang; Oscar R. González (CDC, 2003)

On the stability of jump-linear systems driven by finite-state machines with Markovian inputs. - Sudarshan Patil Kulkarni; Heber Herencia-Zapana; W. Steven Gray; Oscar R. González (ACC, 2004)

Towards stability analysis of jump linear systems with state-dependent and stochastic switching. - Arturo Tejada; Oscar R. Gonzilez; W. Steven Gray (ACC, 2004)

Stochastic stability of nonlinear sampled data systems with a jump linear controller. - Oscar R. González; Heber Herencia-Zapana; W. Steven Gray (CDC, 2004)

Nonlinear balanced realizations. - Erik I. Verriest; W. Steven Gray (CDC, 2004)

Nonlinear system identification - input-output modeling approach, Volumes 1 and 2: R. Haber and L. Keviczky, Kluwer Academic Publishers, Dordrecht, 1999, ISBN: 0-7923-5856-2, 0-7923-5857-0. - W. Steven Gray (Autom., 2004)

Asymptotic and mean square stability conditions for hybrid jump linear systems with performance supervision. - Arturo Tejada; Oscar R. González; W. Steven Gray (ACC, 2005)

Local Convergence of the Feedback Product via the Asymptotics of the Catalan Numbers. - W. Steven Gray; Yaqin Li (CDC/ECC, 2005)

Hankel singular value functions from Schmidt pairs for nonlinear input-output systems. - W. Steven Gray; Jacquelien M. A. Scherpen (Syst. Control. Lett., 2005)

Generating Series for Interconnected Analytic Nonlinear Systems. - W. Steven Gray; Yaqin Li (SIAM J. Control. Optim., 2005)

On the Markov property for nonlinear discrete-time systems with Markovian inputs. - Arturo Tejada; Oscar R. González; W. Steven Gray (ACC, 2006)

Algebraically Defined Gramians for Nonlinear Systems. - W. Steven Gray; Erik I. Verriest (CDC, 2006)

Towards a Theory of Sampled-Data Piecewise-Deterministic Markov Processes. - Heber Herencia-Zapana; Oscar R. González; W. Steven Gray (CDC, 2006)

Balanced realizations near stable invariant manifolds. - W. Steven Gray; Erik I. Verriest (Autom., 2006)

The formal Laplace-Borel transform of Fliess operators and the composition product. - Yaqin Li; W. Steven Gray (Int. J. Math. Math. Sci., 2006)

Mean Square Stability Analysis of Hybrid Jump Linear Systems using a Markov Kernel Approach. - Arturo Tejada; Heber Herencia-Zapana; Oscar R. González; W. Steven Gray (ACC, 2007)

On the bilinearity of cascaded bilinear systems. - Luis A. Duffaut Espinosa; W. Steven Gray; Oscar R. González (CDC, 2007)

Dynamically colored petri net representation of nonlinear sampled-data systems with embedded recovery algorithms. - Heber Herencia-Zapana; Oscar R. González; W. Steven Gray (CDC, 2007)

Stability analysis of hybrid jump linear systems with Markov inputs. - Arturo Tejada; Oscar R. González; W. Steven Gray (CDC, 2007)

A performance model for a distributed flight control system subject to random upsets. - W. Steven Gray; Rui Wang; Oscar R. González (CCA, 2008)

Mean square stability analysis of sampled-data supervisory control systems. - Arturo Tejada; Heber Herencia-Zapana; Oscar R. González; W. Steven Gray (CCA, 2008)

On cascades of bilinear systems and generating series of weighted Petri nets. - W. Steven Gray; Heber Herencia-Zapana; Luis Augusto Duffaut Espinosa; Oscar R. González (CDC, 2008)

Non-causal Fliess operators and their shuffle algebra. - W. Steven Gray; Yuan Wang 005 (Int. J. Control, 2008)

Stability of digital control systems implemented in error-recoverable computers. - Arturo Tejada; Oscar R. González; W. Steven Gray (Int. J. Control, 2008)

Performance Analysis of Digital Flight Control Systems With Rollback Error Recovery Subject to Simulated Neutron-Induced Upsets. - Hong Zhang; W. Steven Gray; Oscar R. González (IEEE Trans. Control. Syst. Technol., 2008)

Transformations of Markov processes in fault tolerant interconnected systems. - Jorge R. Chavez-Fuentes; Oscar R. González; W. Steven Gray (ACC, 2009)

A unified approach to generating series for nonlinear cascade systems. - W. Steven Gray (CDC, 2009)

Bilinear system interconnections and generating series of weighted Petri nets. - W. Steven Gray; Heber Herencia-Zapana; Luis Augusto Duffaut Espinosa; Oscar R. González (Syst. Control. Lett., 2009)

Performance analysis of fault tolerant control systems with I.I.D. upsets. - Jorge R. Chávez-Fuentes; Oscar R. González; W. Steven Gray (ACC, 2010)

Tracking performance analysis of a distributed recoverable Boeing 747 flight control system subject to digital upsets. - W. Steven Gray; Rui Wang; Oscar R. González; Jorge R. Chávez-Fuentes (ACC, 2010)

On the local convergence of Fliess operators driven by L2-Itô random processes. - Luis Augusto Duffaut Espinosa; W. Steven Gray; Oscar R. González (CDC, 2010)

On the radius of convergence of self-excited feedback connected analytic nonlinear systems. - W. Steven Gray; Makhin Thitsa (CDC, 2010)

On nonlinear discrete-time systems driven by Markov chains. - Arturo Tejada; Oscar R. González; W. Steven Gray (J. Frankl. Inst., 2010)

Functional series expansions for continuous-time switched systems. - Luis A. Duffaut Espinosa; W. Steven Gray (ACC, 2011)

On the radius of convergence of cascaded analytic nonlinear systems. - Makhin Thitsa; W. Steven Gray (CDC/ECC, 2011)

A Faà di Bruno Hopf algebra for a group of Fliess operators with applications to feedback. - W. Steven Gray; Luis Augusto Duffaut Espinosa (Syst. Control. Lett., 2011)

Cascaded analytic nonlinear systems driven by rough paths. - Luis Augusto Duffaut Espinosa; W. Steven Gray; Makhin Thitsa (CDC, 2012)

Volterra series analysis of semiconductor optical amplifiers. - Makhin Thitsa; W. Steven Gray (CISS, 2012)

A unified approach to generating series for mixed cascades of analytic nonlinear input-output systems. - W. Steven Gray; Makhin Thitsa (Int. J. Control, 2012)

On the Radius of Convergence of Interconnected Analytic Nonlinear Input-Output Systems. - Makhin Thitsa; W. Steven Gray (SIAM J. Control. Optim., 2012)

Feedback transformation group for nonlinear input-output systems. - W. Steven Gray; Luis Augusto Duffaut Espinosa (CDC, 2013)

Stability Analysis of Stochastic Hybrid Jump Linear Systems Using a Markov Kernel Approach. - Arturo Tejada; Oscar R. González; W. Steven Gray (IEEE Trans. Autom. Control., 2013)

Tracking Performance of Distributed Recoverable Flight Control Systems Subject to High Intensity Radiated Fields. - Rui Wang; W. Steven Gray; Oscar R. González; Jorge R. Chavez-Fuentes (IEEE Trans. Aerosp. Electron. Syst., 2013)

Pre-Lie algebra characterization of SISO feedback invariants. - W. Steven Gray; Makhin Thitsa; Luis A. Duffaut Espinosa (CDC, 2014)

Left inversion of analytic nonlinear SISO systems via formal power series methods. - W. Steven Gray; Luis Augusto Duffaut Espinosa; Makhin Thitsa (Autom., 2014)

Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators. - W. Steven Gray; Luis Augusto Duffaut Espinosa; Kurusch Ebrahimi-Fard (Syst. Control. Lett., 2014)

Analytic left inversion of multivariable Lotka-Volterra models. - W. Steven Gray; Luis A. Duffaut Espinosa; Kurusch Ebrahimi-Fard (CDC, 2015)

Analytic left inversion of SISO Lotka-Volterra models. - W. Steven Gray; Luis A. Duffaut Espinosa; Kurusch Ebrahimi-Fard (CISS, 2015)

Fractional Fliess operators: Two approaches. - Irina M. Winter-Arboleda; W. Steven Gray; Luis A. Duffaut Espinosa (CISS, 2015)

On the performance of antipode algorithms for the multivariable output feedback Hopf algebra. - Lance Berlin; W. Steven Gray; Luis A. Duffaut Espinosa; Kurusch Ebrahimi-Fard (CISS, 2017)

Sensitivity of the left inverse of a SISO analytic nonlinear system. - W. Steven Gray; Luis A. Duffaut Espinosa; Kurusch Ebrahimi-Fard (CISS, 2017)

On global convergence of fractional Fliess operators with applications to bilinear systems. - Irina M. Winter-Arboleda; W. Steven Gray; Luis A. Duffaut Espinosa (CISS, 2017)

Discrete-time approximations of Fliess operators. - W. Steven Gray; Luis A. Duffaut Espinosa; Kurusch Ebrahimi-Fard (Numerische Mathematik, 2017)

SISO Output Affine Feedback Transformation Group and Its Faà di Bruno Hopf Algebra. - W. Steven Gray; Kurusch Ebrahimi-Fard (SIAM J. Control. Optim., 2017)

Stability, performance and sensitivity analysis of I.I.D. jump linear systems. - Jorge R. Chávez-Fuentes; Oscar R. González; W. Steven Gray (Int. J. Control, 2018)

Dendriform-Tree Setting for Fully Non-commutative Fliess Operators. - Luis A. Duffaut Espinosa; W. Steven Gray; Kurusch Ebrahimi-Fard (IMA J. Math. Control. Inf., 2018)

Combining Learning and Model Based Control: Case Study for Single-Input Lotka-Volterra System. - W. Steven Gray; G. S. Venkatesh; Luis A. Duffaut Espinosa (ACC, 2019)

Flat Outputs in Terms of SISO Operator Compositions. - W. Steven Gray (CDC, 2019)

Combining Learning and Model Based Multivariable Control. - G. S. Venkatesh; W. Steven Gray; Luis A. Duffaut Espinosa (CDC, 2019)

Discrete-time Chen Series for Time Discretization and Machine Learning. - W. Steven Gray; G. S. Venkatesh; Luis A. Duffaut Espinosa (CISS, 2019)

Combining Learning and Model Based Control via Discrete-Time Chen-Fliess Series. - W. Steven Gray; G. S. Venkatesh; Luis A. Duffaut Espinosa (CoRR, 2019)

Relative degree of interconnected SISO nonlinear control systems. - W. Steven Gray; G. S. Venkatesh (Syst. Control. Lett., 2019)

Nonlinear Matched Filters via Chen-Fliess Series. - W. Steven Gray (CDC, 2020)

Learning Control for Voltage and Frequency Regulation of an Infinite Bus System*. - Luis A. Duffaut Espinosa; W. Steven Gray; G. S. Venkatesh (ICSTCC, 2020)

Shuffle-Rational Series: Recognizability and Realizations. - G. S. Venkatesh; W. Steven Gray (ICSTCC, 2020)

Nonlinear system identification for multivariable control via discrete-time Chen-Fliess series. - W. Steven Gray; G. S. Venkatesh; Luis A. Duffaut Espinosa (Autom., 2020)

Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree. - W. Steven Gray; Luis A. Duffaut Espinosa; Kurusch Ebrahimi-Fard (CDC, 2021)

Universal Zero Dynamics: The SISO Case. - W. Steven Gray; Kurusch Ebrahimi-Fard; Alexander Schmeding (CISS, 2021)

Generating series for networks of Chen-Fliess series. - W. Steven Gray; Kurusch Ebrahimi-Fard (Syst. Control. Lett., 2021)

System Identification Entropy for Chen-Fliess Series and Their Interconnections. - W. Steven Gray (Allerton, 2022)

Universal Zero Dynamics Attacks Using Only Input-Output Data. - W. Steven Gray; Luis A. Duffaut Espinosa; M. Aminul Haq (ACC, 2022)

Estimating Relative Degree of Nonlinear Systems Using Generating Series. - W. Steven Gray; Luis A. Duffaut Espinosa; M. Aminul Haq (CDC, 2022)

Chen-Fliess Series for Linear Distributed Systems with One Spatial Dimension. - Natalie Pham; W. Steven Gray (ICSTCC, 2022)

Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections. - W. Steven Gray (CoRR, 2022)

Linear Operator Differential Equations with Applications to Linear Time-Varying Systems. - W. Steven Gray; Erik I. Verriest (Allerton, 2023)

Functional Derivatives of Chen-Fliess Series with Applications to Optimal Control. - Luis A. Duffaut Espinosa; W. Steven Gray; Ivan Perez Avellaneda (CDC, 2023)

Zeroing the Output of Nonlinear Systems Without Relative Degree. - W. Steven Gray; Kurusch Ebrahimi-Fard; Alexander Schmeding (CISS, 2023)

Zeroing the Output of a Nonlinear System Without Relative Degree. - W. Steven Gray; Kurusch Ebrahimi-Fard; Alexander Schmeding (CoRR, 2023)

Continuity of Formal Power Series Products in Nonlinear Control Theory. - W. Steven Gray; Mathias Palmstrøm; Alexander Schmeding (Found. Comput. Math., 2023)

Formal power series approach to nonlinear systems with additive static feedback. - G. S. Venkatesh; W. Steven Gray (Int. J. Control, 2023)

Distributional Generating Series in Nonlinear Control Theory. - W. Steven Gray; Natalie Pham; Alexander Schmeding (CISS, 2024)

Zero Dynamics Attacks on Unknown Bilinear Systems: Case Study. - M. Aminul Haq; W. Steven Gray (ICPS, 2024)

Parameter Dependent Chen-Fliess Series and Their Nonrecursive Interconnections. - W. Steven Gray; Natalie Pham (CoRR, 2024)

Decompositions of nonlinear input-output systems to zero the output. - W. Steven Gray; Kurusch Ebrahimi-Fard; Alexander Schmeding (Syst. Control. Lett., 2024)

Parameter Dependent Chen-Fliess Series: Convergence and Continuity. - Natalie Pham; W. Steven Gray (CISS, 2025)

On the Convergence of Re-Centered Chen-Fliess Series. - Farnaz Boudaghi; W. Steven Gray; Luis Augusto Duffaut Espinosa (IEEE Control. Syst. Lett., 2025)

On Symmetries in Analytic Input-Output Systems. - W. Steven Gray; Erik I. Verriest (CoRR, 2025)