000			03026cam a2200337 a 4500
003			EG-GiCUC
005			20250223031233.0
008			150530s2014 ua f m 000 0 eng d
040			_aEG-GiCUC _beng _cEG-GiCUC
041	0		_aeng
049			_aDeposite
097			_aPh.D
099			_aCai01.12.17.Ph.D.2014.Na.S
100	0		_aNada Abdulhuseen Laabi
245	1	0	_aStability and stabilizability of dynamic control equations on time scales / _cNada Abdulhuseen Laabi ; Supervised M. Z. Abdalla , Alaa E. Hamza
246	1	5	_aا{uئإئ٩}{uئإآ٣}{uئإ٩٨}{uئإؤ٨}{uئإءإ}ار{uئآئإ}{uئإ٩٤} و{uئإؤ٧}{uئإ٨إ}{uئإ٩١}{uئإإ٠}{uئآئئ}{uئإ٩٤} ا{uئإئ٩}{uئإآ٣}{uئإ٩٨}{uئإؤ٨}{uئإءإ}ار{uئآئإ}{uئإ٩٤} {uئإؤئ}{uئإإ٤}{uئإأأ}{uئإ٨إ}د{uئإئآ}ت ا{uئإؤئ}{uئإآ٤}{uئآئئ}{uئإأ٤}{uئإءإ}ة ا{uئإؤئ}{uئإءء}{uئآئإ}{uئإإ٨}{uئإ٨إ}{uئإإ٣}{uئآئئ}{uئإؤأ}{uئآئئ}{uئإ٩٤} {uئإأآ}{uئإإ٠}{uئإئ٠} {uئإإ٣}{uئإؤ٨}{uئإ٨إ}{uئآئإ}{uئآئئ}{uئإآ٢} ا{uئإؤئ}{uئإآ٠}{uئإإ٣}{uئإإ٦}
260			_aCairo : _bNada Abdulhuseen Laabi , _c2014
300			_a74 P. ; _c25cm
502			_aThesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics
520			_aIn this thesis, we use an appropriate Lyapunov function and derive su{uFB03}cient conditions for the non-linear dynamic control Equations on a time scale T of the form x{u2206}(t) = A(t)x(t) + B(t)u(t) + f(t, x(t), u(t)), t {u2208} T to be uniformly stabilizable, uniformly exponentially stabilizable or h{u2212} stabiliz- able. Here, A : T {u2192} Rn{u00D7}n is an n {u00D7} n matrix valued function and B : T {u2192} Rn{u00D7}m is an n {u00D7} m matrix valued function, m {u2264} n. We {uFB01}nd a suitable control u, which leads to make the feedback non-linear dynamic equation is uniformly stabilizable, uniformly exponentially stabilizable or h{u2212} stabilizable. We also investigate su{uFB03}cient conditions for these types of stabilizability as well as |-uniform stabilizability when A, B : T {u2192} L(H), where H is a Hilbert space. The results of this thesis were prepared in the following articles [1] Alaa E. Hamza, Nada A. Laabi, Uniform Exponential Stabilizability of Dynamic Control Equations on Time Scales, Int. J. Contemp. Math. Sciences, Vol. 8, 2013, no. 10, 469 - 480. [2] Alaa E. Hamza, M. H. Abu-Risha and Nada A. Laabi, Lyapunov Stabilizability for Nonlinear Dynamic Control Systems on Time Scales, Applied Mathematical Sciences, Vol. 7, 2013, no. 71, 3497 - 3510.
530			_aIssued also as CD
653		4	_aDynamic control
653		4	_aStability and stabilizability
653		4	_aTtime scales
700	0		_aAlaa Eldeen Hamza Sayed , _eSupervisor
700	0		_aMohamed Zudan Abdalla , _eSupervisor
856			_uhttp://172.23.153.220/th.pdf
905			_aNazla _eRevisor
905			_aSoheir _eCataloger
942			_2ddc _cTH
999			_c51101 _d51101