De Leenheer, Patrick
21
papers
- 2373385
Keeran, Willard S.(1-FL); De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
Feedback-mediated coexistence and oscillations in the chemostat. (English summary)
Discrete Contin. Dyn. Syst. Ser. B 9 (2008), no. 2, 321--351.
92D25 (37N25)
- 2352231
Angeli, David(I-FRNZ-I); De Leenheer, Patrick(1-FL); Sontag, Eduardo(1-RTG)
A Petri net approach to persistence analysis in chemical reaction networks. (English summary) Biology and control theory: current challenges, 181--216,
Lecture Notes in Control and Inform. Sci., 357, Springer, Berlin, 2007.
92E20 (34A34 68Q85)
- 2374484
Angeli, David(I-FRNZ-I); De Leenheer, Patrick(1-FL); Sontag, Eduardo D.(1-RTG)
A Petri net approach to the study of persistence in chemical reaction networks. (English summary)
Math. Biosci. 210 (2007), no. 2, 598--618.
92C40 (92D40 92E20)
- 2343862
De Leenheer, Patrick(1-FL); Angeli, David(I-FRNZ-I); Sontag, Eduardo D.(1-RTG)
Monotone chemical reaction networks. (English summary)
J. Math. Chem. 41 (2007), no. 3, 295--314.
92E20 (34C12)
- 2291872
Keeran, Willard S.(1-FL); De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
Circular and elliptic orbits in a feedback-mediated chemostat. (English summary)
Discrete Contin. Dyn. Syst. Ser. B 7 (2007), no. 4, 779--792 (electronic).
92D25 (34C25 92C37)
- 2293767
Mazenc, Frédéric; Malisoff, Michael(1-LAS); De Leenheer, Patrick(1-FL)
On the stability of periodic solutions in the perturbed chemostat. (English summary)
Math. Biosci. Eng. 4 (2007), no. 2, 319--338 (electronic).
92D25 (34C25 34D20)
- 2250245
De Leenheer, Patrick(1-FL); Pilyugin, Sergei S.(1-FL)
Feedback-mediated oscillatory coexistence in the chemostat. (English summary) Positive systems, 97--104,
Lecture Notes in Control and Inform. Sci., 341, Springer, Berlin, 2006.
92D25 (93B52)
- 2235513
De Leenheer, Patrick(1-FL); Levin, Simon A.(1-PRIN); Sontag, Eduardo D.(1-RTG); Klausmeier, Christopher A.(1-GAIT)
Global stability in a chemostat with multiple nutrients. (English summary)
J. Math. Biol. 52 (2006), no. 4, 419--438.
92D25 (34D23)
- 2217846
De Leenheer, Patrick(1-FL); Angeli, David(I-FRNZ-I); Sontag, Eduardo D.(1-RTG)
Crowding effects promote coexistence in the chemostat.
(English. English summary)
J. Math. Anal. Appl. 319 (2006), no. 1, 48--60.
34C12 (34D23 92D25)
- 2201714
Malisoff, Michael(1-LAS); De Leenheer, Patrick(1-FL)
A small-gain theorem for monotone systems with multivalued input-state characteristics.
(English. English summary)
IEEE Trans. Automat. Control 51 (2006), no. 2, 287--292.
93C10 (93D25)
- 2130751
De Leenheer, Patrick(1-FL); Angeli, David(I-FRNZ-I); Sontag, Eduardo D.(1-RTG)
On predator-prey systems and small-gain theorems.
(English. English summary)
Math. Biosci. Eng. 2 (2005), no. 1, 25--42.
34C12 (34D20 92D25 92D40 93D15)
- 2074383
(2005b:93140)
Angeli, D.(I-FRNZ-I); De Leenheer, P.(1-RTG-CS); Sontag, E. D.(1-RTG)
A small-gain theorem for almost global convergence of monotone systems.
(English. English summary)
Systems Control Lett. 52 (2004), no. 5, 407--414.
93D20 (93C10)
- 2132198
de Leenheer, Patrick(1-FL); Li, Bingtuan(1-LSVL); Smith, Hal L.(1-AZS-MS)
Competition in the chemostat: some remarks.
Can. Appl. Math. Q. 11 (2003), no. 3, 229--248.
92D25 (34C60 92D40)
- 2019317
(2004i:92026)
De Leenheer, Patrick(1-AZS-MS); Angeli, David(I-FRNZ-I); Sontag, Eduardo D.(1-RTG)
Small-gain theorems for predator-prey systems.
(English. English summary)
Positive systems (Rome, 2003),
191--198,
Lecture Notes in Control and Inform. Sci., 294,
Springer, Berlin, 2003.
92D25 (34D20)
- 2019314
(2004i:92025)
de Leenheer, Patrick(1-AZS-MS); Angeli, David(I-FRNZ-I); Sontag, Eduardo D.(1-RTG)
A feedback perspective for chemostat models with crowding effects.
(English. English summary)
Positive systems (Rome, 2003),
167--174,
Lecture Notes in Control and Inform. Sci., 294,
Springer, Berlin, 2003.
92D25 (34D23)
- 1989905
(2004b:34136)
De Leenheer, Patrick(1-AZS-MS); Smith, Hal L.(1-AZS-MS)
Virus dynamics: a global analysis.
(English. English summary)
SIAM J. Appl. Math. 63 (2003), no. 4, 1313--1327 (electronic).
34D23 (34A34)
- 1957009
(2004a:93034)
De Leenheer, Patrick(1-AZS); Smith, Hal(1-AZS)
Feedback control for chemostat models.
(English. English summary)
J. Math. Biol. 46 (2003), no. 1, 48--70.
93B52 (34C60 49N90 92D25)
- 2134037
De Leenheer, Patrick(1-AZS); Aeyels, Dirk(B-GHNT-SY)
Stabilization of positive systems with first integrals.
(English. English summary)
Automatica J. IFAC 38 (2002), no. 9, 1583--1589.
93D15
- 1920271
(2003g:34076)
Aeyels, Dirk(B-GHNT-SY); De Leenheer, Patrick(1-AZS-MS)
Extension of the Perron-Frobenius theorem to homogeneous systems.
(English. English summary)
SIAM J. Control Optim. 41 (2002), no. 2, 563--582 (electronic).
34C12 (34D05 34D23 37C65 93D20)
- 2021961
(2004f:93104)
De Leenheer, Patrick(B-GHNT-SY); Aeyels, Dirk(B-GHNT-SY)
Stabilization of positive linear systems.
(English. English summary)
Systems Control Lett. 44 (2001), no. 4, 259--271.
93D15
- 1878229
(2002i:93058)
De Leenheer, Patrick(1-AZS); Aeyels, Dirk(B-GHNT-SY)
Stability properties of equilibria of classes of cooperative systems.
(English. English summary)
IEEE Trans. Automat. Control 46 (2001), no. 12, 1996--2001.
93D10 (93C10)
Last update made
Tue Apr 1 14:00:47 EDT 2008