-
2
-
-
0142184076
-
Arc-length-based Lyapunov tests for convergence and stability in systems having a continuum of equilibria
-
In, Denver, CO
-
Bhat SP, Bernstein DS. Arc-length-based Lyapunov tests for convergence and stability in systems having a continuum of equilibria. In Proceedings of the American Control Conference, Denver, CO, 2003; 2961-2966.
-
(2003)
Proceedings of the American Control Conference
, pp. 2961-2966
-
-
Bhat, S.P.1
Bernstein, D.S.2
-
3
-
-
4944234701
-
Nontangency-based Lyapunov tests for convergence and stability in systems having a continuum of equilibria
-
Bhat SP, Bernstein DS. Nontangency-based Lyapunov tests for convergence and stability in systems having a continuum of equilibria. SIAM J Control Optim 2003; 42: 1745-1775.
-
(2003)
SIAM J Control Optim
, vol.42
, pp. 1745-1775
-
-
Bhat, S.P.1
Bernstein, D.S.2
-
4
-
-
21344471250
-
Geometric homogeneity with applications to finite-time stability
-
Bhat SP, Bernstein DS. Geometric homogeneity with applications to finite-time stability. Math Control Signals Syst 2005; 17: 101-127.
-
(2005)
Math Control Signals Syst
, vol.17
, pp. 101-127
-
-
Bhat, S.P.1
Bernstein, D.S.2
-
5
-
-
33746577251
-
-
Princeton University Press, Princeton, NJ
-
Bernstein DS. Matrix Mathematics. Princeton University Press, Princeton, NJ, 2005.
-
(2005)
Matrix Mathematics
-
-
Bernstein, D.S.1
-
7
-
-
0032047505
-
Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
-
Branicky MS. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans Autom Control 1998; 43: 475-482.
-
(1998)
IEEE Trans Autom Control
, vol.43
, pp. 475-482
-
-
Branicky, M.S.1
-
8
-
-
33646910241
-
Perspectives and results on the stability and stabilizability of hybrid systems
-
DeCarlo RA, Branicky MS, Pettersson S, Lennartson B. Perspectives and results on the stability and stabilizability of hybrid systems. Proc IEEE 2000; 88: 1069-1082.
-
(2000)
Proc IEEE
, vol.88
, pp. 1069-1082
-
-
DeCarlo, R.A.1
Branicky, M.S.2
Pettersson, S.3
Lennartson, B.4
-
9
-
-
0032625112
-
A converse Lyapunov theorem for a class of dynamical systems which undergo switching
-
Dayawansa WP, Martin CF. A converse Lyapunov theorem for a class of dynamical systems which undergo switching. IEEE Trans Autom Control 1999; 44: 751-760.
-
(1999)
IEEE Trans Autom Control
, vol.44
, pp. 751-760
-
-
Dayawansa, W.P.1
Martin, C.F.2
-
11
-
-
34648820233
-
Energyand entropybased stabilization for lossless dynamical systems via hybrid controllers
-
Haddad WM, Chellaboina V, Hui Q, Nersesov SG. Energyand entropybased stabilization for lossless dynamical systems via hybrid controllers. IEEE Trans Autom Control 2007; 52: 1604-1614.
-
(2007)
IEEE Trans Autom Control
, vol.52
, pp. 1604-1614
-
-
Haddad, W.M.1
Chellaboina, V.2
Hui, Q.3
Nersesov, S.G.4
-
12
-
-
84937906162
-
-
Princeton University Press, Princeton, NJ
-
Haddad WM, Chellaboina V, Nersesov SG. Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control. Princeton University Press, Princeton, NJ, 2006.
-
(2006)
Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control
-
-
Haddad, W.M.1
Chellaboina, V.2
Nersesov, S.G.3
-
13
-
-
2442472068
-
Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle
-
Hespanha JP. Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle. IEEE Trans Autom Control 2004; 49: 470-482.
-
(2004)
IEEE Trans Autom Control
, vol.49
, pp. 470-482
-
-
Hespanha, J.P.1
-
14
-
-
50049099130
-
Distributed nonlinear control algorithms for network consensus
-
Hui Q, Haddad WM. Distributed nonlinear control algorithms for network consensus. Automatica 2008; 44: 2375-2381.
-
(2008)
Automatica
, vol.44
, pp. 2375-2381
-
-
Hui, Q.1
Haddad, W.M.2
-
15
-
-
54049150392
-
Finite-time semistability and consensus for nonlinear dynamical networks
-
Hui Q, Haddad WM, Bhat SP. Finite-time semistability and consensus for nonlinear dynamical networks. IEEE Trans Autom Control 2008; 53: 1887-1900.
-
(2008)
IEEE Trans Autom Control
, vol.53
, pp. 1887-1900
-
-
Hui, Q.1
Haddad, W.M.2
Bhat, S.P.3
-
16
-
-
62749132964
-
H2 optimal semistable control for linear dynamical systems: An LMI approach
-
In, New Orleans, LA
-
Haddad WM, Hui Q, Chellaboina V. H2 optimal semistable control for linear dynamical systems: An LMI approach. In Proceedings of the IEEE Conference on Decision and Control, New Orleans, LA, 2007; 2731-2736.
-
(2007)
Proceedings of the IEEE Conference on Decision and Control
, pp. 2731-2736
-
-
Haddad, W.M.1
Hui, Q.2
Chellaboina, V.3
-
19
-
-
79951573133
-
-
M.S. thesis, School of Mathematics, Georgia Institute of Technology, Atlanta, GA
-
Hui Q. Thermodynamic stabilization via energy dissipating hybrid controllers. M.S. thesis, School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 2005.
-
(2005)
Thermodynamic stabilization via energy dissipating hybrid controllers
-
-
Hui, Q.1
-
20
-
-
70449681348
-
-
Ph.D. dissertation, School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA
-
Hui Q. Nonlinear dynamical systems and control for largescale, hybrid, and network systems. Ph.D. dissertation, School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, 2008.
-
(2008)
Nonlinear dynamical systems and control for largescale, hybrid, and network systems
-
-
Hui, Q.1
-
21
-
-
85180905628
-
-
Tech. Rep. CSEL-11-09, Contr. Sci. Eng. Lab., Dept. Mech. Eng., Texas Tech Univ., Lubbock, TX
-
Hui Q. On the Stability and Robustness of Switched Systems. Tech. Rep. CSEL-11-09, Contr. Sci. Eng. Lab., Dept. Mech. Eng., Texas Tech Univ., Lubbock, TX, 2009.
-
(2009)
On the Stability and Robustness of Switched Systems
-
-
Hui, Q.1
-
22
-
-
0038548185
-
Coordination of groups of mobile autonomous agents using nearest neighbor rules
-
Jadbabaie A, Lin J, Morse AS. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans Autom Control 2003; 48: 988-1001.
-
(2003)
IEEE Trans Autom Control
, vol.48
, pp. 988-1001
-
-
Jadbabaie, A.1
Lin, J.2
Morse, A.S.3
-
23
-
-
0004178386
-
-
3rd edn. Prentice-Hall, Upper Saddle River, NJ
-
Khalil HK. Nonlinear Systems, 3rd edn. Prentice-Hall, Upper Saddle River, NJ, 2002.
-
(2002)
Nonlinear Systems
-
-
Khalil, H.K.1
-
25
-
-
0030243937
-
Hybrid feedback laws for a class of cascade nonlinear control systems
-
Kolmanovsky I, McClamroch NH. Hybrid feedback laws for a class of cascade nonlinear control systems. IEEE Trans Autom Control 1996; 41: 1271-1282.
-
(1996)
IEEE Trans Autom Control
, vol.41
, pp. 1271-1282
-
-
Kolmanovsky, I.1
McClamroch, N.H.2
-
26
-
-
0002585302
-
On the inversion of Lyapunov's second theorem on stability of motion
-
translated from Czech Math J 1956; 81: 217-259; 455-484
-
Kurzweil J. On the inversion of Lyapunov's second theorem on stability of motion. Amer Math Soc Transl 1963; 24: 19-77, translated from Czech Math J 1956; 81: 217-259; 455-484.
-
(1963)
Amer Math Soc Transl
, vol.24
, pp. 19-77
-
-
Kurzweil, J.1
-
29
-
-
0033311181
-
Basic problems in stability and design of switched systems
-
Liberzon D, Morse AS. Basic problems in stability and design of switched systems. IEEE Control Syst Mag 1999; 19: 59-70.
-
(1999)
IEEE Control Syst Mag
, vol.19
, pp. 59-70
-
-
Liberzon, D.1
Morse, A.S.2
-
30
-
-
0034315065
-
Acondition for the stability of switched nonlinear systems
-
Mancilla-Aguilar JL. Acondition for the stability of switched nonlinear systems. IEEE Trans Autom Control 2000; 45: 2077-2079.
-
(2000)
IEEE Trans Autom Control
, vol.45
, pp. 2077-2079
-
-
Mancilla-Aguilar, J.L.1
-
31
-
-
0003072066
-
A converse Lyapunov theorem for nonlinear switched systems
-
Mancilla-Aguilar JL, García RA. A converse Lyapunov theorem for nonlinear switched systems. Syst Control Lett 2000; 41: 67-71.
-
(2000)
Syst Control Lett
, vol.41
, pp. 67-71
-
-
Mancilla-Aguilar, J.L.1
García, R.A.2
-
32
-
-
0033097304
-
Towards a stability theory of general hybrid systems
-
Michel AN, Hu B. Towards a stability theory of general hybrid systems. Automatica 1999; 35: 371-384.
-
(1999)
Automatica
, vol.35
, pp. 371-384
-
-
Michel, A.N.1
Hu, B.2
-
33
-
-
12944293796
-
Stability of multiagent systems with timedependent communication links
-
Moreau L. Stability of multiagent systems with timedependent communication links. IEEE Trans Autom Control 2005; 50: 169-182.
-
(2005)
IEEE Trans Autom Control
, vol.50
, pp. 169-182
-
-
Moreau, L.1
-
34
-
-
0028728038
-
Acommon Lyapunov function for stable LTI systems with commuting A-matrices
-
Narendra KS, Balakrishnan J. Acommon Lyapunov function for stable LTI systems with commuting A-matrices. IEEE Trans Autom Control 1994; 39: 2469-2471.
-
(1994)
IEEE Trans Autom Control
, vol.39
, pp. 2469-2471
-
-
Narendra, K.S.1
Balakrishnan, J.2
-
36
-
-
4644244041
-
Consensus problems in networks of agents with switching topology and time-delays
-
Olfati-Saber R, Murray RM. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Control 2004; 49: 1520-1533.
-
(2004)
IEEE Trans Autom Control
, vol.49
, pp. 1520-1533
-
-
Olfati-Saber, R.1
Murray, R.M.2
-
37
-
-
58249126992
-
On the nonexistence of quadratic Lyapunov functions for consensus algorithms
-
Olshevsky A, Tsitsiklis JN. On the nonexistence of quadratic Lyapunov functions for consensus algorithms. IEEE Trans Autom Control 2008; 53: 2642-2645.
-
(2008)
IEEE Trans Autom Control
, vol.53
, pp. 2642-2645
-
-
Olshevsky, A.1
Tsitsiklis, J.N.2
-
38
-
-
0026403206
-
Asymptotic stability of m-switched systems using Lyapunov-like functions
-
In, Boston, MA
-
Peleties P, DeCarlo RA. Asymptotic stability of m-switched systems using Lyapunov-like functions. In Proceedings of the American Control Conference, Boston, MA, 1991; 1679-1684.
-
(1991)
Proceedings of the American Control Conference
, pp. 1679-1684
-
-
Peleties, P.1
DeCarlo, R.A.2
-
39
-
-
0028446780
-
A cyclic switching strategy for parameter-adaptive control
-
Pait FM, Morse AS. A cyclic switching strategy for parameter-adaptive control. IEEE Trans Autom Control 1994; 39: 1172-1183.
-
(1994)
IEEE Trans Autom Control
, vol.39
, pp. 1172-1183
-
-
Pait, F.M.1
Morse, A.S.2
-
40
-
-
0346258922
-
Common Lyapunov function for exponentially stable nonlinear systems
-
In, Jacksonville, FL
-
Shim H, Noh DJ, Seo JH. Common Lyapunov function for exponentially stable nonlinear systems. In Fourth SIAM Conference on Control and its Applications, Jacksonville, FL, 1998.
-
(1998)
Fourth SIAM Conference on Control and its Applications
-
-
Shim, H.1
Noh, D.J.2
Seo, J.H.3
-
41
-
-
15844419019
-
Common Lyapunov functions for families of commuting nonlinear systems
-
Vu L, Liberzon D. Common Lyapunov functions for families of commuting nonlinear systems. Syst Control Lett 2005; 54: 405-416.
-
(2005)
Syst Control Lett
, vol.54
, pp. 405-416
-
-
Vu, L.1
Liberzon, D.2
-
42
-
-
70449646755
-
Stability of feedback switched systems with state and switching delays
-
In, St. Louis, MO
-
Vu L, Morgansen KA. Stability of feedback switched systems with state and switching delays. In Proceedings of the American Control Conference, St. Louis, MO, 2009; 1754-1759.
-
(2009)
Proceedings of the American Control Conference
, pp. 1754-1759
-
-
Vu, L.1
Morgansen, K.A.2
-
43
-
-
84968514083
-
Smoothing derivatives of functions and applications
-
Wilson FW. Smoothing derivatives of functions and applications. Trans Amer Math Soc 1969; 139: 413-428.
-
(1969)
Trans Amer Math Soc
, vol.139
, pp. 413-428
-
-
Wilson, F.W.1
|