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2020 – today
- 2024
[j33]W. Steven Gray, Kurusch Ebrahimi-Fard, Alexander Schmeding:
Decompositions of nonlinear input-output systems to zero the output. Syst. Control. Lett. 187: 105783 (2024)- [c68]W. Steven Gray, Natalie Pham, Alexander Schmeding:
Distributional Generating Series in Nonlinear Control Theory. CISS 2024: 1-6 - [i7]W. Steven Gray, Natalie Pham:
Parameter Dependent Chen-Fliess Series and Their Nonrecursive Interconnections. CoRR abs/2406.19077 (2024) - 2023
- [j32]W. Steven Gray, Mathias Palmstrøm
, Alexander Schmeding:
Continuity of Formal Power Series Products in Nonlinear Control Theory. Found. Comput. Math. 23(3): 803-832 (2023) - [j31]G. S. Venkatesh, W. Steven Gray:
Formal power series approach to nonlinear systems with additive static feedback. Int. J. Control 96(6): 1619-1637 (2023) - [c67]W. Steven Gray, Erik I. Verriest:
Linear Operator Differential Equations with Applications to Linear Time-Varying Systems. Allerton 2023: 1-7 - [c66]Luis A. Duffaut Espinosa, W. Steven Gray, Ivan Perez Avellaneda:
Functional Derivatives of Chen-Fliess Series with Applications to Optimal Control. CDC 2023: 5951-5958 - [c65]W. Steven Gray, Kurusch Ebrahimi-Fard, Alexander Schmeding:
Zeroing the Output of Nonlinear Systems Without Relative Degree. CISS 2023: 1-6 - [i6]W. Steven Gray, Kurusch Ebrahimi-Fard, Alexander Schmeding:
Zeroing the Output of a Nonlinear System Without Relative Degree. CoRR abs/2306.02187 (2023) - 2022
- [c64]W. Steven Gray:
System Identification Entropy for Chen-Fliess Series and Their Interconnections. Allerton 2022: 1-6 - [c63]W. Steven Gray, Luis A. Duffaut Espinosa, M. Aminul Haq:
Universal Zero Dynamics Attacks Using Only Input-Output Data. ACC 2022: 4985-4991 - [c62]W. Steven Gray, Luis A. Duffaut Espinosa, M. Aminul Haq:
Estimating Relative Degree of Nonlinear Systems Using Generating Series. CDC 2022: 7333-7338 - [c61]Natalie Pham, W. Steven Gray:
Chen-Fliess Series for Linear Distributed Systems with One Spatial Dimension. ICSTCC 2022: 7-12 - [i5]W. Steven Gray:
Entropy of Generating Series for Nonlinear Input-Output Systems and Their Interconnections. CoRR abs/2202.10170 (2022) - 2021
- [j30]W. Steven Gray, Kurusch Ebrahimi-Fard:
Generating series for networks of Chen-Fliess series. Syst. Control. Lett. 147: 104827 (2021) - [c60]W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard:
Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree. CDC 2021: 4780-4785 - [c59]W. Steven Gray, Kurusch Ebrahimi-Fard, Alexander Schmeding:
Universal Zero Dynamics: The SISO Case. CISS 2021: 1-6 - [i4]W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard:
Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree. CoRR abs/2104.08950 (2021) - [i3]G. S. Venkatesh, W. Steven Gray:
Formal Power Series Approach to Nonlinear Systems with Additive Static Feedback. CoRR abs/2110.10034 (2021) - 2020
- [j29]W. Steven Gray, G. S. Venkatesh, Luis A. Duffaut Espinosa:
Nonlinear system identification for multivariable control via discrete-time Chen-Fliess series. Autom. 119: 109085 (2020) - [c58]W. Steven Gray:
Nonlinear Matched Filters via Chen-Fliess Series. CDC 2020: 4796-4801 - [c57]G. S. Venkatesh, W. Steven Gray:
Shuffle-Rational Series: Recognizability and Realizations. ICSTCC 2020: 404-411 - [c56]Luis A. Duffaut Espinosa, W. Steven Gray, G. S. Venkatesh:
Learning Control for Voltage and Frequency Regulation of an Infinite Bus System*. ICSTCC 2020: 800-806 - [i2]W. Steven Gray, Kurusch Ebrahimi-Fard:
Generating Series for Networks of Chen-Fliess Series. CoRR abs/2007.00743 (2020)
2010 – 2019
- 2019
- [j28]W. Steven Gray, G. S. Venkatesh:
Relative degree of interconnected SISO nonlinear control systems. Syst. Control. Lett. 124: 99-105 (2019) - [c55]W. Steven Gray, G. S. Venkatesh, Luis A. Duffaut Espinosa:
Combining Learning and Model Based Control: Case Study for Single-Input Lotka-Volterra System. ACC 2019: 928-933 - [c54]G. S. Venkatesh, W. Steven Gray, Luis A. Duffaut Espinosa:
Combining Learning and Model Based Multivariable Control. CDC 2019: 1013-1018 - [c53]W. Steven Gray:
Flat Outputs in Terms of SISO Operator Compositions. CDC 2019: 8036-8041 - [c52]W. Steven Gray, G. S. Venkatesh, Luis A. Duffaut Espinosa:
Discrete-time Chen Series for Time Discretization and Machine Learning. CISS 2019: 1-6 - [i1]W. Steven Gray, G. S. Venkatesh, Luis A. Duffaut Espinosa:
Combining Learning and Model Based Control via Discrete-Time Chen-Fliess Series. CoRR abs/1906.11084 (2019) - 2018
- [j27]Jorge R. Chávez-Fuentes, Oscar R. González, W. Steven Gray:
Stability, performance and sensitivity analysis of I.I.D. jump linear systems. Int. J. Control 91(6): 1460-1472 (2018) - [j26]Luis A. Duffaut Espinosa, W. Steven Gray, Kurusch Ebrahimi-Fard:
Dendriform-Tree Setting for Fully Non-commutative Fliess Operators. IMA J. Math. Control. Inf. 35(2): 491-521 (2018) - [c51]W. Steven Gray, G. S. Venkatesh:
Relative degree of interconnected SISO nonlinear control systems. CISS 2018: 1-6 - 2017
- [j25]W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard:
Discrete-time approximations of Fliess operators. Numerische Mathematik 137(1): 35-62 (2017) - [j24]W. Steven Gray, Kurusch Ebrahimi-Fard:
SISO Output Affine Feedback Transformation Group and Its Faà di Bruno Hopf Algebra. SIAM J. Control. Optim. 55(2): 885-912 (2017) - [c50]Lance Berlin, W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard:
On the performance of antipode algorithms for the multivariable output feedback Hopf algebra. CISS 2017: 1-6 - [c49]W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard:
Sensitivity of the left inverse of a SISO analytic nonlinear system. CISS 2017: 1-6 - [c48]Irina M. Winter-Arboleda, W. Steven Gray, Luis A. Duffaut Espinosa:
On global convergence of fractional Fliess operators with applications to bilinear systems. CISS 2017: 1-6 - 2016
- [c47]W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard:
Discrete-time approximations of fliess operators. ACC 2016: 2433-2439 - 2015
- [c46]W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard:
Analytic left inversion of multivariable Lotka-Volterra models. CDC 2015: 6472-6477 - [c45]W. Steven Gray, Luis A. Duffaut Espinosa, Kurusch Ebrahimi-Fard:
Analytic left inversion of SISO Lotka-Volterra models. CISS 2015: 1-6 - [c44]Irina M. Winter-Arboleda, W. Steven Gray, Luis A. Duffaut Espinosa:
Fractional Fliess operators: Two approaches. CISS 2015: 1-6 - 2014
- [j23]W. Steven Gray, Luis Augusto Duffaut Espinosa, Makhin Thitsa:
Left inversion of analytic nonlinear SISO systems via formal power series methods. Autom. 50(9): 2381-2388 (2014) - [j22]W. Steven Gray, Luis Augusto Duffaut Espinosa, Kurusch Ebrahimi-Fard:
Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators. Syst. Control. Lett. 74: 64-73 (2014) - [c43]W. Steven Gray, Makhin Thitsa, Luis A. Duffaut Espinosa:
Pre-Lie algebra characterization of SISO feedback invariants. CDC 2014: 4807-4813 - [c42]Luis A. Duffaut Espinosa, W. Steven Gray, Kurusch Ebrahimi-Fard:
Dendriform-tree setting for fully non-commutative Fliess operators. CDC 2014: 4814-4819 - 2013
- [j21]Arturo Tejada, Oscar R. González, W. Steven Gray:
Stability Analysis of Stochastic Hybrid Jump Linear Systems Using a Markov Kernel Approach. IEEE Trans. Autom. Control. 58(12): 3156-3168 (2013) - [j20]Rui Wang, W. Steven Gray, Oscar R. González, Jorge R. Chavez-Fuentes:
Tracking Performance of Distributed Recoverable Flight Control Systems Subject to High Intensity Radiated Fields. IEEE Trans. Aerosp. Electron. Syst. 49(1): 521-542 (2013) - [c41]W. Steven Gray, Luis Augusto Duffaut Espinosa:
Feedback transformation group for nonlinear input-output systems. CDC 2013: 2570-2575 - 2012
- [j19]W. Steven Gray, Makhin Thitsa:
A unified approach to generating series for mixed cascades of analytic nonlinear input-output systems. Int. J. Control 85(11): 1737-1754 (2012) - [j18]Makhin Thitsa, W. Steven Gray:
On the Radius of Convergence of Interconnected Analytic Nonlinear Input-Output Systems. SIAM J. Control. Optim. 50(5): 2786-2813 (2012) - [c40]Luis Augusto Duffaut Espinosa, W. Steven Gray, Makhin Thitsa:
Cascaded analytic nonlinear systems driven by rough paths. CDC 2012: 1259-1264 - [c39]Makhin Thitsa, W. Steven Gray:
Volterra series analysis of semiconductor optical amplifiers. CISS 2012: 1-6 - 2011
- [j17]W. Steven Gray, Luis Augusto Duffaut Espinosa:
A Faà di Bruno Hopf algebra for a group of Fliess operators with applications to feedback. Syst. Control. Lett. 60(7): 441-449 (2011) - [c38]Luis A. Duffaut Espinosa, W. Steven Gray:
Functional series expansions for continuous-time switched systems. ACC 2011: 2607-2612 - [c37]Makhin Thitsa, W. Steven Gray:
On the radius of convergence of cascaded analytic nonlinear systems. CDC/ECC 2011: 3830-3835 - [c36]W. Steven Gray, Luis Augusto Duffaut Espinosa:
A Faà di Bruno Hopf algebra for a group of Fliess operators with applications to feedback. CDC/ECC 2011: 3848-3854 - 2010
- [j16]Arturo Tejada, Oscar R. González, W. Steven Gray:
On nonlinear discrete-time systems driven by Markov chains. J. Frankl. Inst. 347(5): 795-805 (2010) - [c35]W. Steven Gray, Rui Wang, Oscar R. González, Jorge R. Chávez-Fuentes:
Tracking performance analysis of a distributed recoverable Boeing 747 flight control system subject to digital upsets. ACC 2010: 548-554 - [c34]Jorge R. Chávez-Fuentes, Oscar R. González, W. Steven Gray:
Performance analysis of fault tolerant control systems with I.I.D. upsets. ACC 2010: 6197-6204 - [c33]Luis Augusto Duffaut Espinosa, W. Steven Gray, Oscar R. González:
On the local convergence of Fliess operators driven by L2-Itô random processes. CDC 2010: 2631-2637 - [c32]W. Steven Gray, Makhin Thitsa:
On the radius of convergence of self-excited feedback connected analytic nonlinear systems. CDC 2010: 7092-7098
2000 – 2009
- 2009
- [j15]W. Steven Gray, Heber Herencia-Zapana, Luis Augusto Duffaut Espinosa, Oscar R. González:
Bilinear system interconnections and generating series of weighted Petri nets. Syst. Control. Lett. 58(12): 841-848 (2009) - [c31]Jorge R. Chavez-Fuentes, Oscar R. González, W. Steven Gray:
Transformations of Markov processes in fault tolerant interconnected systems. ACC 2009: 227-232 - [c30]W. Steven Gray:
A unified approach to generating series for nonlinear cascade systems. CDC 2009: 8002-8007 - 2008
- [j14]W. Steven Gray, Yuan Wang:
Non-causal Fliess operators and their shuffle algebra. Int. J. Control 81(3): 344-357 (2008) - [j13]Arturo Tejada, Oscar R. González, W. Steven Gray:
Stability of digital control systems implemented in error-recoverable computers. Int. J. Control 81(11): 1665-1681 (2008) - [j12]Hong Zhang, W. Steven Gray, Oscar R. González:
Performance Analysis of Digital Flight Control Systems With Rollback Error Recovery Subject to Simulated Neutron-Induced Upsets. IEEE Trans. Control. Syst. Technol. 16(1): 46-59 (2008) - [c29]Arturo Tejada, Heber Herencia-Zapana, Oscar R. González, W. Steven Gray:
Mean square stability analysis of sampled-data supervisory control systems. CCA 2008: 37-42 - [c28]W. Steven Gray, Rui Wang, Oscar R. González:
A performance model for a distributed flight control system subject to random upsets. CCA 2008: 918-923 - [c27]W. Steven Gray, Heber Herencia-Zapana, Luis Augusto Duffaut Espinosa, Oscar R. González:
On cascades of bilinear systems and generating series of weighted Petri nets. CDC 2008: 4115-4120 - 2007
- [c26]Arturo Tejada, Heber Herencia-Zapana, Oscar R. González, W. Steven Gray:
Mean Square Stability Analysis of Hybrid Jump Linear Systems using a Markov Kernel Approach. ACC 2007: 3482-3487 - [c25]Heber Herencia-Zapana, Oscar R. González, W. Steven Gray:
Dynamically colored petri net representation of nonlinear sampled-data systems with embedded recovery algorithms. CDC 2007: 97-102 - [c24]Luis A. Duffaut Espinosa, W. Steven Gray, Oscar R. González:
On the bilinearity of cascaded bilinear systems. CDC 2007: 5581-5587 - [c23]Arturo Tejada, Oscar R. González, W. Steven Gray:
Stability analysis of hybrid jump linear systems with Markov inputs. CDC 2007: 6280-6285 - 2006
- [j11]W. Steven Gray, Erik I. Verriest:
Balanced realizations near stable invariant manifolds. Autom. 42(4): 653-659 (2006) - [j10]Yaqin Li, W. Steven Gray:
The formal Laplace-Borel transform of Fliess operators and the composition product. Int. J. Math. Math. Sci. 2006: 34217:1-34217:14 (2006) - [c22]Arturo Tejada, Oscar R. González, W. Steven Gray:
On the Markov property for nonlinear discrete-time systems with Markovian inputs. ACC 2006 - [c21]Heber Herencia-Zapana, Oscar R. González, W. Steven Gray:
Towards a Theory of Sampled-Data Piecewise-Deterministic Markov Processes. CDC 2006: 944-949 - [c20]W. Steven Gray, Erik I. Verriest:
Algebraically Defined Gramians for Nonlinear Systems. CDC 2006: 3730-3735 - 2005
- [j9]W. Steven Gray, Jacquelien M. A. Scherpen:
Hankel singular value functions from Schmidt pairs for nonlinear input-output systems. Syst. Control. Lett. 54(2): 135-144 (2005) - [j8]W. Steven Gray, Yaqin Li:
Generating Series for Interconnected Analytic Nonlinear Systems. SIAM J. Control. Optim. 44(2): 646-672 (2005) - [c19]Arturo Tejada, Oscar R. González, W. Steven Gray:
Asymptotic and mean square stability conditions for hybrid jump linear systems with performance supervision. ACC 2005: 569-574vol.1 - [c18]W. Steven Gray, Yaqin Li:
Local Convergence of the Feedback Product via the Asymptotics of the Catalan Numbers. CDC/ECC 2005: 6140-6145 - 2004
- [j7]W. Steven Gray:
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. Autom. 40(5): 901-903 (2004) - [c17]Arturo Tejada, Oscar R. Gonzilez, W. Steven Gray:
Towards stability analysis of jump linear systems with state-dependent and stochastic switching. ACC 2004: 1893-1898 - [c16]Sudarshan Patil Kulkarni, Heber Herencia-Zapana, W. Steven Gray, Oscar R. González:
On the stability of jump-linear systems driven by finite-state machines with Markovian inputs. ACC 2004: 2534-2539 - [c15]Erik I. Verriest, W. Steven Gray:
Nonlinear balanced realizations. CDC 2004: 1164-1169 - [c14]Oscar R. González, Heber Herencia-Zapana, W. Steven Gray:
Stochastic stability of nonlinear sampled data systems with a jump linear controller. CDC 2004: 4128-4133 - 2003
- [c13]W. Steven Gray, Sudarshan Patilkulkarni, Oscar R. González:
Stochastic stability of a recoverable computer control system modeled as a finite-state machine. ACC 2003: 2240-2245 - [c12]W. Steven Gray, Hong Zhang, Oscar R. González:
Closed-loop performance measures for flight controllers subject to neutron-induced upsets. CDC 2003: 2465-2470 - 2002
- [j6]Kenji Fujimoto, Jacquelien M. A. Scherpen, W. Steven Gray:
Hamiltonian realizations of nonlinear adjoint operators. Autom. 38(10): 1769-1775 (2002) - [j5]W. Steven Gray, Yuan Wang:
Fliess operators on Lp spaces: convergence and continuity. Syst. Control. Lett. 46(2): 67-74 (2002) - [c11]W. Steven Gray, Jacquelien M. A. Scherpen:
Hankel singular value functions from Schmidt pairs for nonlinear input-output systems. ACC 2002: 3540-3545 - [c10]Oscar R. Gonzcilez, Arturo Tejada, W. Steven Gray:
Analysis of design trade-offs in the rollback recovery method for fault tolerant digital control systems. ACC 2002: 4801-4806 - [c9]W. Steven Gray, Yaqin Li:
Generating series for nonlinear cascade and feedback systems. CDC 2002: 2720-2725 - 2001
- [j4]W. Steven Gray, Jacquelien M. A. Scherpen:
On the nonuniqueness of singular value functions and balanced nonlinear realizations. Syst. Control. Lett. 44(3): 219-232 (2001) - [c8]W. Steven Gray, Jacquelien M. A. Scherpen:
Nonlinear Hilbert adjoints: properties and applications to Hankel singular value analysis. ACC 2001: 3582-3587 - [c7]W. Steven Gray:
Nonlinear Hilbert adjoints of Fliess operators. CDC 2001: 2625-2630 - [c6]Erik I. Verriest, W. Steven Gray:
Nonlinear balanced realizations. CDC 2001: 3250-3251 - [c5]Oscar R. González, W. Steven Gray, Arturo Tejada, Sudarshan Patilkulkarni:
Stability analysis of upset recovery methods for electromagnetic interference. CDC 2001: 4134-4139 - 2000
- [j3]Jacquelien M. A. Scherpen, W. Steven Gray:
Minimality and local state decompositions of a nonlinear state space realization using energy functions. IEEE Trans. Autom. Control. 45(11): 2079-2086 (2000) - [j2]W. Steven Gray, Oscar R. González, Mustafa Dogan:
Stability analysis of digital linear flight controllers subject to electromagnetic disturbances. IEEE Trans. Aerosp. Electron. Syst. 36(4): 1204-1218 (2000) - [c4]W. Steven Gray, Oscar R. González, Sudarshan Patilkulkarni:
Stability of digital control systems subject to jump linear random perturbations. CDC 2000: 1154-1159 - [c3]W. Steven Gray, Yuan Wang:
Fliess operators on Lp spaces: convergence and continuity. CDC 2000: 4385-4390 - [c2]Jacquelien M. A. Scherpen, Kenji Fujimoto, W. Steven Gray:
Hamiltonian extensions, Hilbert adjoints and singular value functions for nonlinear systems. CDC 2000: 5102-5107
1990 – 1999
- 1999
- [j1]W. Steven Gray, Bahram Nabet:
Volterra series analysis and synthesis of a neural network for velocity estimation. IEEE Trans. Syst. Man Cybern. Part B 29(2): 190-197 (1999) - [c1]W. Steven Gray, Erik I. Verriest:
Balancing nonlinear systems near attracting in variant manifolds. ECC 1999: 1625-1630
Coauthor Index
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