



LEADER 
04168nmm a2200421 u 4500 
001 
EB000623463 
003 
EBX01000000000000000476545 
005 
00000000000000.0 
007 
cr 
008 
140122  eng 
020 


a 9781461500957

100 
1 

a Miller, Boris M.

245 
0 
0 
a Impulsive Control in Continuous and DiscreteContinuous Systems
h Elektronische Ressource
c by Boris M. Miller, Evgeny Y. Rubinovich

250 


a 1st ed. 2003

260 


a New York, NY
b Springer US
c 2003, 2003

300 


a XII, 447 p
b online resource

505 
0 

a 5 Optimal control problems within the class of generalized solutions  5.1 Statement of the optimal control problems with phase constraints  5.2 Existence of the optimal generalized solution  5.3 Optimal control problems for DCS with ordinary and impulse controls  5.4 Optimal generalized solutions in nonlinear hybrid systems  6 Optimality conditions in control problems within the class of generalized solutions  6.1 Introduction  6.2 Generalized maximum principle  6.3 Applications of generalized maximum principle  6.4 Generalized maximum principle in linearconvex problems  7 Observation control problems in discretecontinuous stochastic systems  7.1 Statement of the problem  7.2 Generalized solutions in observation control problems  7.3 Convex properties of observation control problems  7.4 Examples of observation control problems  7.5 Observation control problem with constrained number of the observation instants 

505 
0 

a 1 Introduction  1.1 Concept of discretecontinuous (hybrid) system and some typical problems  1.2 Robust and nonrobust discretecontinuous systems  1.3 The structure of the book  2 Discretecontinuous systems with impulse control  2.1 Definition of impulsive control and the system solution  2.2 Stability (robustness) conditions for systems with impulse control  2.3 Generalized solutions of systems with impulse control and their representations  3 Optimal impulse control problem with restricted number of impulses  3.1 Introduction and the problem statement  3.2 Auxiliary optimal control problem  3.3 Necessary and sufficient optimality conditions  4 Representation of generalized solutions via differential equations with measures  4.1 Generalized solutions of nonlinear differential equations  4.2 Generalized solutions of differential equations with affine dependence on unbounded controls 

505 
0 

a 8 Appendix. Differential equations with measures  8.1 Auxiliary results  8.2 Linear differential equations with a measure  8.3 Nonlinear differential equations with a measure

653 


a Difference equations

653 


a Calculus of Variations and Optimization

653 


a Control theory

653 


a Systems Theory, Control

653 


a Functional equations

653 


a Difference and Functional Equations

653 


a System theory

653 


a Differential Equations

653 


a Mathematical optimization

653 


a Differential equations

653 


a Calculus of variations

700 
1 

a Rubinovich, Evgeny Y.
e [author]

041 
0 
7 
a eng
2 ISO 6392

989 


b SBA
a Springer Book Archives 2004

028 
5 
0 
a 10.1007/9781461500957

856 
4 
0 
u https://doi.org/10.1007/9781461500957?nosfx=y
x Verlag
3 Volltext

082 
0 

a 515.64

082 
0 

a 519.6

520 


a Impulsive Control in Continuous and DiscreteContinuous Systems is an uptodate introduction to the theory of impulsive control in nonlinear systems. This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems. The text introduces the reader to the interesting area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of discontinuous timetransformation. With a large number of examples, illustrations, and applied problems arising in the area of observation control, this book is excellent as a textbook or reference for a senior or graduatelevel course on the subject, as well as a reference for researchers in related fields
