Poulsen, Dylan; Davis, John; Gravagne, Ian Mean square stability for systems on stochastically generated discrete time scales. (English) Zbl 1408.93141 Nonlinear Anal., Hybrid Syst. 31, 41-55 (2019). MSC: 93E15 93C70 93D30 93C05 93C55 47N70 PDFBibTeX XMLCite \textit{D. Poulsen} et al., Nonlinear Anal., Hybrid Syst. 31, 41--55 (2019; Zbl 1408.93141) Full Text: DOI
Poulsen, Dylan; Davis, John M.; Gravagne, Ian A. The geometry of the region of uniform exponential stability for linear time invariant dynamic equations on time scales. (English) Zbl 1395.34092 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 25, No. 3, 159-173 (2018). Reviewer: Antonín Slavík (Praha) MSC: 34N05 34D20 34A30 PDFBibTeX XMLCite \textit{D. Poulsen} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 25, No. 3, 159--173 (2018; Zbl 1395.34092) Full Text: Link
Eisenbarth, Geoffrey; Davis, John M.; Gravagne, Ian Singular value conditions for stability of dynamic switched systems. (English) Zbl 1361.93049 J. Math. Anal. Appl. 452, No. 2, 814-829 (2017). MSC: 93D05 93D20 93D30 93C70 93C30 PDFBibTeX XMLCite \textit{G. Eisenbarth} et al., J. Math. Anal. Appl. 452, No. 2, 814--829 (2017; Zbl 1361.93049) Full Text: DOI
Eisenbarth, Geoffrey; Davis, John M.; Gravagne, Ian Stability of simultaneously triangularizable switched systems on hybrid domains. (English) Zbl 1285.93045 Electron. J. Differ. Equ. 2014, Paper No. 63, 19 p. (2014). MSC: 93C30 93D05 93D30 PDFBibTeX XMLCite \textit{G. Eisenbarth} et al., Electron. J. Differ. Equ. 2014, Paper No. 63, 19 p. (2014; Zbl 1285.93045) Full Text: EMIS
Jackson, Billy J.; Davis, John M.; Gravagne, Ian A.; Marks, Robert J. II Linear state feedback stabilisation on time scales. (English) Zbl 1215.34117 Int. J. Dyn. Syst. Differ. Equ. 3, No. 1-2, 163-177 (2011). Reviewer: Andrea Bacciotti (Torino) MSC: 34N05 34H15 93D20 PDFBibTeX XMLCite \textit{B. J. Jackson} et al., Int. J. Dyn. Syst. Differ. Equ. 3, No. 1--2, 163--177 (2011; Zbl 1215.34117) Full Text: DOI arXiv
Davis, John M.; Gravagne, Ian A.; Marks, Robert J. II Bilateral Laplace transforms on time scales: convergence, convolution, and the characterization of stationary stochastic time series. (English) Zbl 1200.44001 Circuits Syst. Signal Process. 29, No. 6, 1141-1165 (2010). MSC: 44A10 34N05 94A11 62M10 PDFBibTeX XMLCite \textit{J. M. Davis} et al., Circuits Syst. Signal Process. 29, No. 6, 1141--1165 (2010; Zbl 1200.44001) Full Text: DOI
Davis, John M.; Gravagne, Ian A.; Marks, Robert J. II Convergence of unilateral Laplace transforms on time scales. (English) Zbl 1201.44001 Circuits Syst. Signal Process. 29, No. 5, 971-997 (2010). Reviewer: Lothar Berg (Rostock) MSC: 44A10 44A55 PDFBibTeX XMLCite \textit{J. M. Davis} et al., Circuits Syst. Signal Process. 29, No. 5, 971--997 (2010; Zbl 1201.44001) Full Text: DOI
Gravagne, Ian A.; Davis, John M.; Dacunha, Jeffrey J. A unified approach to high-gain adaptive controllers. (English) Zbl 1184.93100 Abstr. Appl. Anal. 2009, Article ID 198353, 13 p. (2009). MSC: 93D15 93C40 PDFBibTeX XMLCite \textit{I. A. Gravagne} et al., Abstr. Appl. Anal. 2009, Article ID 198353, 13 p. (2009; Zbl 1184.93100) Full Text: DOI arXiv EuDML
Davis, John M.; Gravagne, Ian A.; Jackson, Billy J.; Marks, Robert J. II Controllability, observability, realizability, and stability of dynamic linear systems. (English) Zbl 1161.93003 Electron. J. Differ. Equ. 2009, Paper No. 37, 32 p. (2009). MSC: 93B05 93B07 93B20 93B55 93D99 93C05 PDFBibTeX XMLCite \textit{J. M. Davis} et al., Electron. J. Differ. Equ. 2009, Paper No. 37, 32 p. (2009; Zbl 1161.93003) Full Text: arXiv EuDML EMIS
Davis, John M.; Gravagne, Ian A.; Marks, Robert J.; Ramos, Alice A. Algebraic and Dynamic Lyapunov Equations on Time Scales. arXiv:0910.1895 Preprint, arXiv:0910.1895 [math.OC] (2009). MSC: 93D05 93D30 37B25 39B42 15A24 BibTeX Cite \textit{J. M. Davis} et al., ``Algebraic and Dynamic Lyapunov Equations on Time Scales'', Preprint, arXiv:0910.1895 [math.OC] (2009) Full Text: arXiv OA License
Marks, Robert J. II; Gravagne, Ian A.; Davis, John M. A generalized Fourier transform and convolution on time scales. (English) Zbl 1139.43001 J. Math. Anal. Appl. 340, No. 2, 901-919 (2008). Reviewer: Lubomira Softova (Bari) MSC: 43A25 PDFBibTeX XMLCite \textit{R. J. Marks II} et al., J. Math. Anal. Appl. 340, No. 2, 901--919 (2008; Zbl 1139.43001) Full Text: DOI
Davis, John M.; Gravagne, Ian A.; Jackson, Billy J.; Marks, Robert J. II; Ramos, Alice A. The Laplace transform on time scales revisited. (English) Zbl 1120.44001 J. Math. Anal. Appl. 332, No. 2, 1291-1307 (2007). Reviewer: Jin Liang (Hefei) MSC: 44A10 39A12 PDFBibTeX XMLCite \textit{J. M. Davis} et al., J. Math. Anal. Appl. 332, No. 2, 1291--1307 (2007; Zbl 1120.44001) Full Text: DOI
Marks, Robert J. II.; Gravagne, Ian A.; Davis, John M.; DaCunha, Jeffrey J. Nonregressivity in switched linear circuits and mechanical systems. (English) Zbl 1136.93379 Math. Comput. Modelling 43, No. 11-12, 1383-1392 (2006). MSC: 93C70 94C05 34C15 39A10 PDFBibTeX XMLCite \textit{R. J. II. Marks} et al., Math. Comput. Modelling 43, No. 11--12, 1383--1392 (2006; Zbl 1136.93379) Full Text: DOI