Thanh, Nguyen T.; Phat, Vu Ngoc Switching law design for finite-time stability of singular fractional-order systems with delay. (English) Zbl 1432.93154 IET Control Theory Appl. 13, No. 9, 1367-1373 (2019). MSC: 93C30 93C70 93D05 34K20 34K37 PDFBibTeX XMLCite \textit{N. T. Thanh} and \textit{V. N. Phat}, IET Control Theory Appl. 13, No. 9, 1367--1373 (2019; Zbl 1432.93154) Full Text: DOI
Phan Thanh Nam; Hieu Trinh; Pathirana, Pubudu Nishantha; Vu Ngoc Phat Stability analysis of nonlinear time-delay systems using a novel piecewise positive systems method. (English) Zbl 1390.93610 IEEE Trans. Autom. Control 63, No. 1, 291-297 (2018). MSC: 93D05 34K06 34K20 PDFBibTeX XMLCite \textit{Phan Thanh Nam} et al., IEEE Trans. Autom. Control 63, No. 1, 291--297 (2018; Zbl 1390.93610) Full Text: DOI
Niamsup, P.; Phat, V. N. Robust finite-time control for linear time-varying delay systems with bounded control. (English) Zbl 1354.93044 Asian J. Control 18, No. 6, 2317-2324 (2016). MSC: 93B35 93C05 93D30 93C15 PDFBibTeX XMLCite \textit{P. Niamsup} and \textit{V. N. Phat}, Asian J. Control 18, No. 6, 2317--2324 (2016; Zbl 1354.93044) Full Text: DOI
Sau, Nguyen H.; Niamsup, P.; Phat, Vu N. Positivity and stability analysis for linear implicit difference delay equations. (English) Zbl 1352.34084 Linear Algebra Appl. 510, 25-41 (2016). MSC: 34D20 93D05 93D20 PDFBibTeX XMLCite \textit{N. H. Sau} et al., Linear Algebra Appl. 510, 25--41 (2016; Zbl 1352.34084) Full Text: DOI
Phat, V. N.; Thanh, N. T.; Trinh, H. M. New results on \(H_\infty\) filtering for nonlinear large-scale systems with interconnected time-varying delays. (English) Zbl 1348.93260 Optim. Control Appl. Methods 37, No. 5, 948-964 (2016). MSC: 93E11 93E10 93A15 93C10 93C15 PDFBibTeX XMLCite \textit{V. N. Phat} et al., Optim. Control Appl. Methods 37, No. 5, 948--964 (2016; Zbl 1348.93260) Full Text: DOI
Adly, S.; Trang, TA T. H.; Phat, Vu N. Guaranteed quadratic cost control of nonlinear time-varying systems via output feedback stabilization. (English) Zbl 1350.93066 Pac. J. Optim. 12, No. 3, 649-667 (2016). MSC: 93D15 34D20 93C15 93C05 PDFBibTeX XMLCite \textit{S. Adly} et al., Pac. J. Optim. 12, No. 3, 649--667 (2016; Zbl 1350.93066)
Trang, Ta T. H.; Phat, Vu N.; Samir, Adly Finite-time stabilization and \(H_\infty\) control of nonlinear delay systems via output feedback. (English) Zbl 1317.93222 J. Ind. Manag. Optim. 12, No. 1, 303-315 (2016). MSC: 93D20 34D20 37C75 PDFBibTeX XMLCite \textit{T. T. H. Trang} et al., J. Ind. Manag. Optim. 12, No. 1, 303--315 (2016; Zbl 1317.93222) Full Text: DOI
Phat, V. N.; Niamsup, P. Global stabilization of linear time-varying delay systems with bounded controls. (English) Zbl 1319.93065 Appl. Math. Lett. 46, 11-16 (2015). MSC: 93D15 93D20 93C05 34H05 49N10 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{P. Niamsup}, Appl. Math. Lett. 46, 11--16 (2015; Zbl 1319.93065) Full Text: DOI
Niamsup, Piyapong; Phat, Vu Ngoc State feedback guaranteed cost controller for nonlinear time-varying delay systems. (English) Zbl 1328.93216 Vietnam J. Math. 43, No. 2, 215-228 (2015). MSC: 93D20 34D20 37C75 PDFBibTeX XMLCite \textit{P. Niamsup} and \textit{V. N. Phat}, Vietnam J. Math. 43, No. 2, 215--228 (2015; Zbl 1328.93216) Full Text: DOI
Thuan, M. V.; Hien, L. V.; Phat, V. N. Exponential stabilization of non-autonomous delayed neural networks via Riccati equations. (English) Zbl 1338.92022 Appl. Math. Comput. 246, 533-545 (2014). MSC: 92B20 37N25 PDFBibTeX XMLCite \textit{M. V. Thuan} et al., Appl. Math. Comput. 246, 533--545 (2014; Zbl 1338.92022) Full Text: DOI
Thuan, M. V.; Phat, V. N.; Fernando, T.; Trinh, H. Exponential stabilization of time-varying delay systems with non-linear perturbations. (English) Zbl 1303.93150 IMA J. Math. Control Inf. 31, No. 4, 441-464 (2014). MSC: 93D20 93C73 93C10 93C15 PDFBibTeX XMLCite \textit{M. V. Thuan} et al., IMA J. Math. Control Inf. 31, No. 4, 441--464 (2014; Zbl 1303.93150) Full Text: DOI
Thanh, Nguyen T.; Phat, Vu N. Decentralized stability for switched nonlinear large-scale systems with interval time-varying delays in interconnections. (English) Zbl 1298.34137 Nonlinear Anal., Hybrid Syst. 11, 22-36 (2014). MSC: 34K20 34A38 34A36 PDFBibTeX XMLCite \textit{N. T. Thanh} and \textit{V. N. Phat}, Nonlinear Anal., Hybrid Syst. 11, 22--36 (2014; Zbl 1298.34137) Full Text: DOI
Fernando, T. L.; Phat, V. N.; Trinh, H. M. Output feedback guaranteed cost control of uncertain linear discrete systems with interval time-varying delays. (English) Zbl 1351.93089 Appl. Math. Modelling 37, No. 3, 1580-1589 (2013). MSC: 93C55 93B52 39A30 PDFBibTeX XMLCite \textit{T. L. Fernando} et al., Appl. Math. Modelling 37, No. 3, 1580--1589 (2013; Zbl 1351.93089) Full Text: DOI
Thuan, Mai Vet; Phat, Vu Ngoc New criteria for stability and stabilization of neural networks with mixed interval time-varying delays. (English) Zbl 1290.34072 Vietnam J. Math. 40, No. 1, 79-93 (2012). MSC: 34K20 34K35 92B20 93D09 PDFBibTeX XMLCite \textit{M. V. Thuan} and \textit{V. N. Phat}, Vietnam J. Math. 40, No. 1, 79--93 (2012; Zbl 1290.34072) Full Text: Link
Thuan, M. V.; Phat, V. N. Optimal guaranteed cost control of linear systems with mixed interval time-varying delayed state and control. (English) Zbl 1237.49047 J. Optim. Theory Appl. 152, No. 2, 394-412 (2012). MSC: 49N10 49K40 34H05 49M30 PDFBibTeX XMLCite \textit{M. V. Thuan} and \textit{V. N. Phat}, J. Optim. Theory Appl. 152, No. 2, 394--412 (2012; Zbl 1237.49047) Full Text: DOI
Ratchagit, K.; Phat, V. N. Robust stability and stabilization of linear polytopic delay-difference equations with interval time-varying delays. (English) Zbl 1252.39022 Neural Parallel Sci. Comput. 19, No. 3-4, 361-371 (2011). Reviewer: Ti-Jun Xiao (Fudan) MSC: 39A30 39A06 39A12 34K20 PDFBibTeX XMLCite \textit{K. Ratchagit} and \textit{V. N. Phat}, Neural Parallel Sci. Comput. 19, No. 3--4, 361--371 (2011; Zbl 1252.39022)
Hien, L. V.; Phat, V. N. New exponential estimate for robust stability of nonlinear neutral time-delay systems with convex polytopic uncertainties. (English) Zbl 1255.34076 J. Nonlinear Convex Anal. 12, No. 3, 541-552 (2011). Reviewer: Zhiming Guo (Guangzhou) MSC: 34K20 34K40 PDFBibTeX XMLCite \textit{L. V. Hien} and \textit{V. N. Phat}, J. Nonlinear Convex Anal. 12, No. 3, 541--552 (2011; Zbl 1255.34076)
Anh, T. T.; Hien, L. V.; Phat, Vu Ngoc Stability analysis for linear non-autonomous systems with continuously distributed multiple time-varying delays and applications. (English) Zbl 1238.34136 Acta Math. Vietnam. 36, No. 2, 129-143 (2011). Reviewer: Oleg Anashkin (Simferopol) MSC: 34K20 34K06 34K35 PDFBibTeX XMLCite \textit{T. T. Anh} et al., Acta Math. Vietnam. 36, No. 2, 129--143 (2011; Zbl 1238.34136) Full Text: Link
Bay, Nguyen S.; Linh, Nguyen M.; Phat, Vu N. Robust \(H_\infty\) control of linear time-varying systems with mixed delays in the Hilbert space. (English) Zbl 1300.93064 Optim. Control Appl. Methods 32, No. 5, 545-557 (2011). MSC: 93B36 93C23 93C05 93B05 PDFBibTeX XMLCite \textit{N. S. Bay} et al., Optim. Control Appl. Methods 32, No. 5, 545--557 (2011; Zbl 1300.93064) Full Text: DOI
Phat, V. N.; Ratchagit, K. Stability and stabilization of switched linear discrete-time systems with interval time-varying delay. (English) Zbl 1227.93097 Nonlinear Anal., Hybrid Syst. 5, No. 4, 605-612 (2011). MSC: 93D15 93C55 93C30 93D20 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{K. Ratchagit}, Nonlinear Anal., Hybrid Syst. 5, No. 4, 605--612 (2011; Zbl 1227.93097) Full Text: DOI
Botmart, T.; Niamsup, P.; Phat, V. N. Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays. (English) Zbl 1241.34080 Appl. Math. Comput. 217, No. 21, 8236-8247 (2011). Reviewer: Nataliya O. Sedova (Ulyanovsk) MSC: 34K20 34K06 34K27 34K35 PDFBibTeX XMLCite \textit{T. Botmart} et al., Appl. Math. Comput. 217, No. 21, 8236--8247 (2011; Zbl 1241.34080) Full Text: DOI
Vu N. Phat; Phan T. Nam Exponential stability of delayed Hopfield neural networks with various activation functions and polytopic uncertainties. (English) Zbl 1237.92002 Phys. Lett., A 374, No. 25, 2527-2533 (2010). MSC: 92B20 15A45 34K20 65C20 PDFBibTeX XMLCite \textit{Vu N. Phat} and \textit{Phan T. Nam}, Phys. Lett., A 374, No. 25, 2527--2533 (2010; Zbl 1237.92002) Full Text: DOI
Niamsup, P.; Phat, V. N. A novel exponential stability condition for a class of hybrid neural networks with time-varying delay. (English) Zbl 1223.34104 Vietnam J. Math. 38, No. 3, 341-351 (2010). MSC: 34K20 92B20 34K34 PDFBibTeX XMLCite \textit{P. Niamsup} and \textit{V. N. Phat}, Vietnam J. Math. 38, No. 3, 341--351 (2010; Zbl 1223.34104) Full Text: Link
Phat, Vu N.; Jeyakumar, V. Stability, stabilization and duality for linear time-varying systems. (English) Zbl 1209.93123 Optimization 59, No. 3-4, 447-460 (2010). MSC: 93D15 34D20 49N15 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{V. Jeyakumar}, Optimization 59, No. 3--4, 447--460 (2010; Zbl 1209.93123) Full Text: DOI
Niamsup, P.; Phat, V. N. \(H_\infty \) control for nonlinear time-varying delay systems with convex polytopic uncertainties. (English) Zbl 1189.93041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4254-4263 (2010). MSC: 93B36 93C20 93C41 93C15 34H05 PDFBibTeX XMLCite \textit{P. Niamsup} and \textit{V. N. Phat}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4254--4263 (2010; Zbl 1189.93041) Full Text: DOI
Tai, Vo T.; Phat, Vu N. Global exponential stabilization of nonlinear non-autonomous differential equations via Riccati equations. (English) Zbl 1220.93067 Nonlinear Funct. Anal. Appl. 14, No. 2, 245-260 (2009). MSC: 93D15 34H05 PDFBibTeX XMLCite \textit{V. T. Tai} and \textit{V. N. Phat}, Nonlinear Funct. Anal. Appl. 14, No. 2, 245--260 (2009; Zbl 1220.93067)
Phat, V. N.; Niamsup, P. Stability analysis for a class of functional differential equations and applications. (English) Zbl 1201.34121 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6265-6275 (2009). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34K20 35K35 93D15 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{P. Niamsup}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, 6265--6275 (2009; Zbl 1201.34121) Full Text: DOI
Nam, P. T.; Phat, V. N. An improved stability criterion for a class of neutral differential equations. (English) Zbl 1163.34392 Appl. Math. Lett. 22, No. 1, 31-35 (2009). MSC: 34K40 34K20 PDFBibTeX XMLCite \textit{P. T. Nam} and \textit{V. N. Phat}, Appl. Math. Lett. 22, No. 1, 31--35 (2009; Zbl 1163.34392) Full Text: DOI
Nam, P. T.; Phat, V. N. Robust stabilization of linear systems with delayed state and control. (English) Zbl 1159.93027 J. Optim. Theory Appl. 140, No. 2, 287-299 (2009). MSC: 93D21 93C05 93C15 15A39 93D09 PDFBibTeX XMLCite \textit{P. T. Nam} and \textit{V. N. Phat}, J. Optim. Theory Appl. 140, No. 2, 287--299 (2009; Zbl 1159.93027) Full Text: DOI
Niamsup, P.; Mukdasai, K.; Phat, V. N. Improved exponential stability for time-varying systems with nonlinear delayed perturbations. (English) Zbl 1168.34355 Appl. Math. Comput. 204, No. 1, 490-495 (2008). Reviewer: Olusola Akinyele (Bowie) MSC: 34K20 34K06 PDFBibTeX XMLCite \textit{P. Niamsup} et al., Appl. Math. Comput. 204, No. 1, 490--495 (2008; Zbl 1168.34355) Full Text: DOI
Niamsup, Piyapong; Mukdasai, Kanit; Phat, Vu N. Linear uncertain non-autonomous time-delay systems: Stability and stabilizability via Riccati equations. (English) Zbl 1136.93428 Electron. J. Differ. Equ. 2008, Paper No. 26, 10 p. (2008). MSC: 93D15 34D20 93C05 93D09 PDFBibTeX XMLCite \textit{P. Niamsup} et al., Electron. J. Differ. Equ. 2008, Paper No. 26, 10 p. (2008; Zbl 1136.93428) Full Text: EuDML EMIS
Phat, Vu N.; Pairote, Satiracoo Exponential stability of switched linear systems with time-varying delay. (English) Zbl 1139.34053 Electron. J. Differ. Equ. 2007, Paper No. 159, 10 p. (2007). MSC: 34K20 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{S. Pairote}, Electron. J. Differ. Equ. 2007, Paper No. 159, 10 p. (2007; Zbl 1139.34053) Full Text: EuDML EMIS
Phat, Vu Ngoc Sufficient conditions for stabilizability of linear periodic differential equations. (English) Zbl 1131.93045 Southeast Asian Bull. Math. 30, No. 2, 331-340 (2006). MSC: 93D15 93D05 93B05 34D20 34C25 93B52 PDFBibTeX XMLCite \textit{V. N. Phat}, Southeast Asian Bull. Math. 30, No. 2, 331--340 (2006; Zbl 1131.93045)
Phat, V. N.; Niamsup, P. Stabilization of linear nonautonomous systems with norm-bounded controls. (English) Zbl 1126.93052 J. Optim. Theory Appl. 131, No. 1, 135-149 (2006). MSC: 93D21 93D30 93B05 93C05 93C15 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{P. Niamsup}, J. Optim. Theory Appl. 131, No. 1, 135--149 (2006; Zbl 1126.93052) Full Text: DOI
Phat, Vu N.; Niamsup, Piyapong Stability of linear time-varying delay systems and applications to control problems. (English) Zbl 1161.34353 J. Comput. Appl. Math. 194, No. 2, 343-356 (2006). MSC: 34K20 93C23 93D05 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{P. Niamsup}, J. Comput. Appl. Math. 194, No. 2, 343--356 (2006; Zbl 1161.34353) Full Text: DOI
Phat, Vu N.; Nam, Phan T. Exponential stability criteria of linear non-autonomous systems with multiple delays. (English) Zbl 1075.34074 Electron. J. Differ. Equ. 2005, Paper No. 58, 8 p. (2005). MSC: 34K20 34K06 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{P. T. Nam}, Electron. J. Differ. Equ. 2005, Paper No. 58, 8 p. (2005; Zbl 1075.34074) Full Text: EuDML EMIS
Bay, Nguyen Sinh; Phat, Vu Ngoc Asymptotic stability of a class of nonlinear functional differential equations. (English) Zbl 1028.34066 Nonlinear Funct. Anal. Appl. 7, No. 2, 299-311 (2002). Reviewer: Ivanka Stamova (Bourgas) MSC: 34K20 93D20 PDFBibTeX XMLCite \textit{N. S. Bay} and \textit{V. N. Phat}, Nonlinear Funct. Anal. Appl. 7, No. 2, 299--311 (2002; Zbl 1028.34066)
Phat, V. N.; Bay, N. S. Lyapunov stability and stabilizability of linear differential time-varying delay systems in Hilbert spaces. (English) Zbl 1009.93067 Far East J. Math. Sci. (FJMS) 5, No. 1, 65-80 (2002). Reviewer: J.Y.Park (Pusan) MSC: 93D15 93C25 93D20 93C23 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{N. S. Bay}, Far East J. Math. Sci. (FJMS) 5, No. 1, 65--80 (2002; Zbl 1009.93067)
Phat, Vu Ngoc; Kiet, Tran Tin On the Lyapunov equation in Banach spaces and applications to control problems. (English) Zbl 0999.93034 Int. J. Math. Math. Sci. 29, No. 3, 155-166 (2002). Reviewer: Jong Yeoul Park (Pusan) MSC: 93C25 93D15 93D20 93B05 47A50 PDFBibTeX XMLCite \textit{V. N. Phat} and \textit{T. T. Kiet}, Int. J. Math. Math. Sci. 29, No. 3, 155--166 (2002; Zbl 0999.93034) Full Text: DOI EuDML Link
Nguyen Manh Linh; Vu Ngoc Phat Exponential stability of nonlinear time-varying differential equations and applications. (English) Zbl 0974.34054 Electron. J. Differ. Equ. 2001, Paper No. 34, 13 p. (2001). Reviewer: Olga Lykova (Kyïv) MSC: 34D20 34H05 34D10 49M37 PDFBibTeX XMLCite \textit{Nguyen Manh Linh} and \textit{Vu Ngoc Phat}, Electron. J. Differ. Equ. 2001, Paper No. 34, 13 p. (2001; Zbl 0974.34054) Full Text: EuDML EMIS
Park, Jong Yeoul; Vu Ngoc Phat; Jung, Il Hyo On stability of nonlinear nonautonomous systems by Lyapunov’s direct method. (English) Zbl 0970.34046 J. Korean Math. Soc. 37, No. 5, 805-821 (2000). Reviewer: Oleg Filatov (Samara) MSC: 34D20 34K20 34D10 PDFBibTeX XMLCite \textit{J. Y. Park} et al., J. Korean Math. Soc. 37, No. 5, 805--821 (2000; Zbl 0970.34046)
Tran Tin Kiet; Vu Ngoc Phat Lyapunov stability of nonlinear time-varying differential equations. (English) Zbl 0967.34046 Acta Math. Vietnam. 25, No. 2, 231-249 (2000). Reviewer: Oleg Anashkin (Simferopol) MSC: 34D20 34K20 93C10 34D10 93D05 93D30 PDFBibTeX XMLCite \textit{Tran Tin Kiet} and \textit{Vu Ngoc Phat}, Acta Math. Vietnam. 25, No. 2, 231--249 (2000; Zbl 0967.34046)